Dynamic Event-Triggered Consensus of Multi-agent Systems on Matrix-weighted Networks

This paper examines event-triggered consensus of multi-agent systems on matrix-weighted networks, where the interdependencies among higher-dimensional states of neighboring agents are characterized by matrix-weighted edges in the network. Specifically, a distributed dynamic event-triggered coordination strategy is proposed for this category of generalized networks, in which an auxiliary system is employed for each agent to dynamically adjust the trigger threshold, which plays an essential role in guaranteeing that the triggering time sequence does not exhibit Zeno behavior. Distributed event-triggered control protocols are proposed to guarantee leaderless and leader-follower consensus for multi-agent systems on matrix-weighted networks, respectively. It is shown that that the spectral properties of matrix-valued weights are crucial in event-triggered mechanism design for matrix-weighted networks. Finally, simulation examples are provided to demonstrate the theoretical results

Event-Triggered Consensus and Formation Control in Multi-Agent Coordination

The focus of this thesis is to study distributed event-triggered control for multi-agent systems (MASs) facing constraints in practical applications. We consider several problems in the field, ranging from event-triggered consensus with information quantization, event-triggered edge agreement under synchronized/unsynchronized clocks, event-triggered leader-follower consensus with Euler-Lagrange agent dynamics and cooperative event-triggered rigid formation control. The first topic is named as event-triggered consensus with quantized relative state measurements. In this topic, we develop two event-triggered controllers with quantized relative state measurements to achieve consensus for an undirected network where each agent is modelled by single integrator dynamics. Both uniform and logarithmic quantizers are considered, which, together with two different controllers, yield four cases of study in this topic. The quantized information is used to update the control input as well as to determine the next trigger event. We show that approximate consensus can be achieved by the proposed algorithms and Zeno behaviour can be completely excluded if constant offsets with some computable lower bounds are added to the trigger conditions. The second topic considers event-triggered edge agreement problems. Two cases, namely the synchronized clock case and the unsynchronized clock case, are studied. In the synchronized clock case, all agents are activated simultaneously to measure the relative state information over edge links under a global clock. Edge events are defined and their occurrences trigger the update of control inputs for the two agents sharing the link. We show that average consensus can be achieved with our proposed algorithm. In the unsynchronized clock case, each agent executes control algorithms under its own clock which is not synchronized with other agents' clocks. An edge event only triggers control input update for an individual agent. It is shown that all agents will reach consensus in a totally asynchronous manner. In the third topic, we propose three different distributed event-triggered control algorithms to achieve leader-follower consensus for a network of Euler-Lagrange agents. We firstly propose two model-independent algorithms for a subclass of Euler-Lagrange agents without the vector of gravitational potential forces. A variable-gain algorithm is employed when the sensing graph is undirected; algorithm parameters are selected in a fully distributed manner with much greater flexibility compared to all previous work concerning event-triggered consensus problems. When the sensing graph is directed, a constant-gain algorithm is employed. The control gains must be centrally designed to exceed several lower bounding inequalities which require limited knowledge of bounds on the matrices describing the agent dynamics, bounds on network topology information and bounds on the initial conditions. When the Euler-Lagrange agents have dynamics which include the vector of gravitational potential forces, an adaptive algorithm is proposed. This requires more information about the agent dynamics but allows for the estimation of uncertain agent parameters. The last topic discusses cooperative stabilization control of rigid formations via an event-triggered approach. We first design a centralized event-triggered formation control system, in which a central event controller determines the next triggering time and broadcasts the event signal to all the agents for control input update. We then build on this approach to propose a distributed event control strategy, in which each agent can use its local event trigger and local information to update the control input at its own event time. For both cases, the trigger condition, event function and trigger behaviour are discussed in detail, and the exponential convergence of the formation system is guaranteed

Cooperative Control of Nonlinear Multi-Agent Systems

Multi-agent systems have attracted great interest due to their potential applications in a variety of areas. In this dissertation, a nonlinear consensus algorithm is developed for networked Euler-Lagrange multi-agent systems. The proposed consensus algorithm guarantees that all agents can reach a common state in the workspace. Meanwhile, the external disturbances and structural uncertainties are fundamentally considered in the controller design. The robustness of the proposed consensus algorithm is then demonstrated in the stability analysis. Furthermore, experiments are conducted to validate the effectiveness of the proposed consensus algorithm. Next, a distributed leader-follower formation tracking controller is developed for networked nonlinear multi-agent systems. The dynamics of each agent are modeled by Euler-Lagrange equations, and all agents are guaranteed to track a desired time-varying trajectory in the presence of noise. The fault diagnosis strategy of the nonlinear multi-agent system is also investigated with the help of differential geometry tools. The effectiveness of the proposed controller is verified through simulations. To further extend the application area of the multi-agent technique, a distributed robust controller is then developed for networked Lipschitz nonlinear multi-agent systems. With the appearance of system uncertainties and external disturbances, a sampled-data feedback control protocol is carried out through the Lyapunov functional approach. The effectiveness of the proposed controller is verified by numerical simulations. Other than the robustness and sampled-data information exchange, this dissertation is also concerned with the event-triggered consensus problem for the Lipschitz nonlinear multi-agent systems. Furthermore, the sufficient condition for the stochastic stabilization of the networked control system is proposed based on the Lyapunov functional method. Finally, simulation is conducted to demonstrate the effectiveness of the proposed control algorithm. In this dissertation, the cooperative control of networked Euler-Lagrange systems and networked Lipschitz systems is investigated essentially with the assistance of nonlinear control theory and diverse controller design techniques. The main objective of this work is to propose realizable control algorithms for nonlinear multi-agent systems

Decentralized event-based leader-following consensus for a group of two-wheeled self-balancing robots

[EN] This paper deals with the development of a decentralized event-based control strategy applied to the leader-following consensus problem of a group of two-wheeled self-balancing robots so called mobile inverted pendulum (MIP). The MIP’s nonlinear mathematical model which includes the dynamics of the actuators is presented. Then, the model around an operating point is considered which allows to exploit the differential flatness property of the system, permitting a complete parametrization in terms of the flat output. Assuming that the vehicle network exchange information through a directed and strongly connected graph, a decentralized control law is designed, and an event-based algorithm is developed. Then each MIP decides, based on the difference of its current state and its latest broadcast state, when it has to send a new value to its neighbors. The stability of the complete system is carried out in the Lyapunov sense together with the ISS (Input-to-State Stability) approach. Numerical results show the advantages \textit{wrt} information exchange between MIPs, as well as a good performance in the angular stabilization under two scenarios: regulation and tracking problem.[ES] El trabajo presenta el diseno de una estrategia de control distribuido con comunicación activada por eventos, que resuelve el problema de consenso líder-seguidor, de un conjunto de robots móviles tipo péndulo invertido (RMPI). La linealización de las ecuaciones de movimiento de los RMPI, alrededor del punto de equilibrio, permiten explotar las propiedades de planitud diferencial, dando lugar a una reparametrización del sistema mediante la salida plana. Asumiendo que los vehículos se comunican mediante una red, cuya topología es representada por un grafo no dirigido y fuertemente conectado, se disena una ley de control distribuido y una funcion de evento que indica el instante en el que el i-ésimo vehículo debe transmitir informacion (su estado) a sus vecinos. El resultado es un intercambio asíncrono de información entre vehículos y donde el tiempo entre eventos no es equidistante. El análisis de estabilidad se lleva a cabo en el sentido de Lyapunov y en el sentido entrada-estado ISS (Input-to-State Stability). Los resultados en simulación numérica muestran el buen desempeño del consenso de la red de vehículos en dos escenarios representativos: regulación y seguimiento de trayectoria.Ramírez-Cárdenas, O.; Guerrero-Castellanos, J.; Linares-Flores, J.; Durand, S.; Guerrero-Sánchez, W. (2019). Control descentralizado basado en eventos para el consenso de múltiples robots tipo péndulo invertido en el esquema líder-seguidor. Revista Iberoamericana de Automática e Informática. 16(4):435-446. https://doi.org/10.4995/riai.2019.11113SWORD435446164Ahmed, N., Cortes, J., Martinez, S., 2016a. Distributed control and estimation of robotic vehicle networks: Overview of the special issue. IEEE Control Systems 36 (2), 36-40. https://doi.org/10.1109/MCS.2015.2512030Ahmed, N., Cortes, J., Martinez, S., 2016b. Distributed control and estimation of robotic vehicle networks: Overview of the special issue-part II. IEEE Control Systems 36 (4), 18-21. https://doi.org/10.1109/MCS.2016.2558398Aström, K. J., Murray, R. M., 2010. Feedback systems: an introduction for scientists and engineers. Princeton University Press. https://doi.org/10.2307/j.ctvcm4gdkBrisilla, R., Sankaranarayanan, V., 2015. Nonlinear control of mobile inverted pendulum. Robotics and Autonomous Systems 70, 145 - 155. https://doi.org/10.1016/j.robot.2015.02.012Bullo, F., Cortés, J., Martinez, S., 2009. Distributed Control of Robotic Networks: A Mathematical Approach to Motion Coordination Algorithms: A Mathematical Approach to Motion Coordination Algorithms. Princeton University Press. https://doi.org/10.1515/9781400831470Chung, T. L., Bui, T. H., Nguyen, T. T., Kim, S. B., Jul 2004. Sliding mode control of two-wheeled welding mobile robot for tracking smooth curved welding path. KSME International Journal 18 (7), 1094-1106. https://doi.org/10.1007/BF02983284Dimarogonas, D. V., Frazzoli, E., Johansson, K. H., 2012. Distributed eventtriggered control for multi-agent systems. IEEE Transactions on Automatic Control 57 (5), 1291-1297. https://doi.org/10.1109/TAC.2011.2174666Durand, S., Marchand, N., Aug 2009. Further results on event-based pid controller. In: Control Conference (ECC), 2009 European. pp. 1979-1984. https://doi.org/10.23919/ECC.2009.7074694Frías, O. O. G., 2013. Estabilización del péndulo invertido sobre dos ruedas mediante el método de lyapunov. Revista Iberoamericana de Automática e Informática Industrial RIAI 10 (1), 30 - 36. https://doi.org/10.1016/j.riai.2012.11.003Garcia, E., Cao, Y., Wang, X., Casbeer, D. W., July 2015. Decentralized eventtriggered consensus of linear multi-agent systems under directed graphs. In: 2015 American Control Conference (ACC). pp. 5764-5769. https://doi.org/10.1109/ACC.2015.7172242Ge, X., Han, Q. L., 2017. Distributed formation control of networked multiagent systems using a dynamic event-triggered communication mechanism. IEEE Transactions on Industrial Electronics PP (99), 1-1.Grasser, F., D'Arrigo, A., Colombi, S., Rufer, A. C., Feb 2002. Joe: a mobile, inverted pendulum. IEEE Transactions on Industrial Electronics 49 (1), 107-114. https://doi.org/10.1109/41.982254Guerrero Castellanos, J. F., Vega-Alonzo, A., Marchand, N., Durand, S., Linares-Flores, J., Mino-Aguilar, G., 2017. Real-time event-based formation control of a group of vtol-uavs. In: Proceedings of the 3rd IEEE International Conference on Event-Based Control, Communication and Signal Processing (EBCCSP). Hal-01527633. https://doi.org/10.1109/EBCCSP.2017.8022817Guinaldo, M., Fábregas, E., Farias, G., Dormido-Canto, S., Chaos, D., Sánchez, J., Dormido, S., 2013. A mobile robots experimental environment with event-based wireless communication. Sensors 13 (7), 9396-9413. https://doi.org/10.3390/s130709396Hebertt Sira-Ramírez, Alberto Luviano-Juárez, M. R.-N. E.-W. Z.-B., 2017. Active Disturbance Rejection Control of Dynamic Systems. Butterworth- Heinemann.Lewis, F. L., Zhang, H., Hengster-Movric, K., Das, A., 2013. Cooperative control of multi-agent systems: optimal and adaptive design approaches. Springer Science & Business Media. https://doi.org/10.1007/978-1-4471-5574-4Li, Z., Yang, C., Fan, L., 2003. Advanced Control of Wheeled Inverted Pendulum Systems. Springer-Verlag London.Marchand, N., Durand, S., Guerrero-Castellanos, J. F., 2013. A general formula for event-based stabilization of nonlinear systems. Automatic Control, IEEE Transactions on 58 (5), 1332-1337. https://doi.org/10.1109/TAC.2012.2225493Müllhaupt, P., 2009. Introduction à l'analyse et à la commande des systèmes non linéaires. PPUR Presses polytechniques.Olfati-Saber, R., Murray, R. M., 2004. Consensus problems in networks of agents with switching topology and time-delays. Automatic Control, IEEE Transactions on 49 (9), 1520-1533. https://doi.org/10.1109/TAC.2004.834113Pathak, K., Franch, J., Agrawal, S. K., June 2005. Velocity and position control of a wheeled inverted pendulum by partial feedback linearization. IEEE Transactions on Robotics 21 (3), 505-513. https://doi.org/10.1109/TRO.2004.840905Ren, W., Beard, R. W., 2008. Distributed consensus in multi-vehicle cooperative control. Springer. https://doi.org/10.1007/978-1-84800-015-5Salerno, A., Angeles, J., Sept 2003. On the nonlinear controllability of a quasiholonomic mobile robot. In: 2003 IEEE International Conference on Robotics and Automation (Cat. No.03CH37422). Vol. 3. pp. 3379-3384 vol.3.Sánchez, J., Guarnes, M., Dormido, S., 2009. On the application of different event-based sampling strategies to the control of a simple industrial process. Sensors 9, 6795-6818. https://doi.org/10.3390/s90906795Sanchez-Santana, J., Guerrero-Castellanos, J., Villarreal-Cervantes, M., Ramírez-Martínez, S., 2018. Control distribuido y disparado por eventos para la formación de robots móviles tipo (3, 0) ' ?. In: Congreso Nacional de Control Automático.Schinstock, D., McGahee, K., Smith, S., July 2016. Engaging students in control systems using a balancing robot in a mechatronics course. In: 2016 American Control Conference (ACC). pp. 6658-6663. https://doi.org/10.1109/ACC.2016.7526719Segway, 2018. Segway human transporter. URL: http://www.segway.comSeyboth, G. S., Dimarogonas, D. V., Johansson, K. H., 2013. Event-based broadcasting for multi-agent average consensus. Automatica 49 (1), 245- 252. https://doi.org/10.1016/j.automatica.2012.08.042Sira-Ramírez, H., Agrawal, S. K., 2004. Differentially Flat Systems. Marcel Dekker, Inc. https://doi.org/10.1201/9781482276640Tabuada, P., 2007. Event-triggered real-time scheduling of stabilizing control tasks. IEEE Transactions on Automatic Control 52 (9), 1680-1685. https://doi.org/10.1109/TAC.2007.904277Tsai, C. C., Li, Y. X., Tai, F. C., Sept 2017. Backstepping sliding-mode leader- follower consensus formation control of uncertain networked heterogeneous nonholonomic wheeled mobile multirobots. In: 2017 56th Annual Conferen- ce of the Society of Instrument and Control Engineers of Japan (SICE). pp. 1407-1412. https://doi.org/10.23919/SICE.2017.8105661Velasco, M., Martí, P., Bini, E., 2009. On lyapunov sampling for event-driven controllers. In: Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference. CDC/CCC 2009. Proceedings of the 48th IEEE Conference on. IEEE, pp. 6238-6243. https://doi.org/10.1109/CDC.2009.5400541Xie, D., Xu, S., Zhang, B., Li, Y., Chu, Y., 2016. Consensus for multi-agent systems with distributed adaptive control and an event-triggered communication strategy. IET Control Theory Applications 10 (13), 1547-1555. https://doi.org/10.1049/iet-cta.2015.1221Yamamoto, Y., 2009. Nxtway-gs model-based design.Yang, D., Ren, W., Liu, X., Dec 2014. Decentralized consensus for linear multi- agent systems under general directed graphs based on event-triggered/self- triggered strategy. In: 53rd IEEE Conference on Decision and Control. pp. 1983-1988. https://doi.org/10.1109/CDC.2014.7039689Zhou, F., Huang, Z., Yang, Y., Wang, J., Li, L., Peng, J., 2017. Decentralized event-triggered cooperative control for multi-agent systems with uncertain dynamics using local estimators. Neurocomputing 237, 388 - 396. https://doi.org/10.1016/j.neucom.2017.01.02

Distributed event-triggered communication for angular speed synchronization of networked BLDC motors

[EN] This work presents the design and implementation of a collaborative and decentralized control for synchronizing the angular velocity of a group of spatially distributed brushless direct current (BLDC) motors. Via an Active Disturbance Rejection Control (ADRC), acting as an internal-loop, the dynamics of the BLDC can be assimilated to that of a first-order integrator, which is considered an agent. Then, a decentralized collaborative control strategy with event-triggered communication is proposed, which solves the problem of leader-follower consensus for the multi-agent system and thus speed synchronization. The communication topology between agents is modeled using an undirected and connected graph. The decentralized control law incorporates an event function, which indicates the instant at which the i-th agent transmits the angular velocity information to its neighbor. An experimental platform using two BLDC and a virtual leader was developed to validate the proposed approach. The experimental results show excellent performance for angular velocity consensus for regulation tasks, while the bandwidth usage is only 1.25 % regarding a periodic communication implementation.[ES] Este trabajo presenta el diseño e implementación de un control colaborativo descentralizado para la sincronización de velocidad angular de un conjunto de motores de corriente continua sin escobillas (BLDC) distribuidos espacialmente. Apoyándose de un control por rechazo activo de perturbaciones, actuando como un bucle interno, la dinámica del BLDC puede asimilarse a la de un integrador de primer orden y el cual será considerado un agente. Se propone entonces una estrategia de control colaborativo descentralizado con una comunicación activada por eventos, que resuelve el problema del consenso líder-seguidor del sistema multi-agente y, con ello, la sincronización de velocidades entre motores. La topología de comunicación entre agentes se modela usando un grafo conectado y no dirigido. La ley de control descentralizado incorpora una función de evento, que indica el instante en el que $i$-ésimo agente transmite la información de velocidad angular a su vecino. El intercambio asíncrono de información permite reducir el tráfico de datos en la red de comunicaciones, lo que permite aprovechar el ancho de banda. Al analizar la dinámica de la trayectoria del error del sistema, se establece que el vector de error del sistema multi-agente tiende de forma exponencial y permanece confinado a una vecindad del origen del espacio de estados de error. Aunque la estrategia está diseñada para n-agentes, se desarrolló una plataforma experimental compuesta por dos motores y un líder virtual, permitiendo validar la estrategia. Los resultados experimentales muestran un excelente desempeño del consenso de velocidad angular de ambos motores BLDC para tareas de regulación, mientras que el uso del ancho de banda es de solamente 1.25 % con respecto a una implementación de comunicación periódica.Hernández-Méndez, A.; Guerrero-Castellanos, J.; Orozco-Urbieta, T.; Linares-Flores, J.; Mino-Aguilar, G.; Curiel, G. (2021). Comunicación distribuida activada por eventos para la sincronización de velocidad angular de motores BLDC en red. Revista Iberoamericana de Automática e Informática industrial. 18(4):360-370. https://doi.org/10.4995/riai.2021.14989OJS360370184Ahmed, N., Cortes, J., Martinez, S., 2016. Distributed control and estimation of robotic vehicle networks: Overview of the special issue-part II. IEEE Control Systems 36 (4), 18-21. https://doi.org/10.1109/MCS.2016.2558398Aranda-Escolástico, E., Guinaldo, M., Heradio, R., Chacon, J., Vargas, H., Sánchez, J., Dormido, S., 2020. Event-based control: A bibliometric analysis of twenty years of research. IEEE Access 8, 47188-47208. https://doi.org/10.1109/ACCESS.2020.2978174Bullo, F., Cortés, J., Martinez, S., 2009. Distributed Control of Robotic Networks: A Mathematical Approach to Motion Coordination Algorithms: A Mathematical Approach to Motion Coordination Algorithms. Princeton University Press.https://doi.org/10.1515/9781400831470Chaari, R., Ellouze, F., Koubaa, A., Qureshi, B., Pereira, N., Youssef, H., Tovar, E., 2016. Cyber-physical systems clouds: A survey. Computer Networks 108, 260 - 278. https://doi.org/10.1016/j.comnet.2016.08.017Dimarogonas, D. V., Frazzoli, E., 2009. Distributed event-triggered control strategies for multi-agent systems. In: Communication, Control, and Computing, 2009. Allerton 2009. 47th Annual Allerton Conference on. IEEE, pp. 906-910. https://doi.org/10.1109/ALLERTON.2009.5394897Fuentes, G. A. R., Cortés-Romero, J. A., Zou, Z., Costa-Castelló, R., Zhou, K., 2015. Power active filter control based on a resonant disturbance observer. IET Power Electronics 8 (4), 554-564. https://doi.org/10.1049/iet-pel.2014.0032Garcia, E., Cao, Y., Wang, X., Casbeer, D. W., July 2015. Decentralized eventtriggered consensus of linear multi-agent systems under directed graphs. In: 2015 American Control Conference (ACC). pp. 5764-5769. https://doi.org/10.1109/ACC.2015.7172242Guerrero-Castellanos, J., Rifaï, H., Arnez-Paniagua, V., Linares-Flores, J., Saynes-Torres, L., Mohammed, S., 2018. Robust active disturbance rejection control via control lyapunov functions: Application to actuated-ankle-footorthosis. Control Engineering Practice 80, 49 - 60. https://doi.org/10.1016/j.conengprac.2018.08.008Guerrero-Castellanos, J., Vega-Alonzo, A., Durand, S., Marchand, N., Gonzalez-Diaz, V., Casta˜neda-Camacho, J., Guerrero-Sánchez, W., 2019. Leader-following consensus and formation control of vtol-uavs with eventtriggered communications. Sensors 19 (24), 1-26. https://doi.org/10.3390/s19245498Guinaldo, M., Dimarogonas, D. V., Johansson, K. H., S'anchez, J., Dormido, S., 2013. Distributed event-based control strategies for interconnected linear systems. Control Theory & Applications, IET 7 (6), 877-886. https://doi.org/10.1049/iet-cta.2012.0525Guzey, H. M., Dumlu, A., Guzey, N., Alpay, A., April 2018. Optimal synchronizing speed control of multiple dc motors. In: 2018 4th International Conference on Optimization and Applications (ICOA). pp. 1-5. https://doi.org/10.1109/ICOA.2018.8370508Han, J., 2009. From pid to active disturbance rejection control. Transactions on Industry Electronics 56 (3), 900-906. https://doi.org/10.1109/TIE.2008.2011621Hebertt Sira-Ramírez, Alberto Luviano-Juárez, M. R.-N. E.-W. Z.-B., 2017. Active Disturbance Rejection Control of Dynamic Systems. Butterworth- Heinemann.Hernandez-Méndez, A., Linares-Flores, J., Sira-Ramírez, H., Guerrero-Castellanos, J., Mino-Aguilar, G., 2017. A backstepping approach to decentralized active disturbance rejection control of interacting boost converters. Transactions on Industry Applications 53 (4), 4063-4072. https://doi.org/10.1109/TIA.2017.2683441Lee, J., Bagheri, B., Kao, H.-A., 2015. A cyber-physical systems architecture for industry 4.0-based manufacturing systems. Manufacturing Letters 3, 18- 23. https://doi.org/10.1016/j.mfglet.2014.12.001Lewis, F. L., Zhang, H., Hengster-Movric, K., Das, A., 2013. Cooperative control of multi-agent systems: optimal and adaptive design approaches. Springer Science & Business Media. https://doi.org/10.1007/978-1-4471-5574-4Marchand, N., Durand, S., Guerrero-Castellanos, J. F., 2013. A general formula for event-based stabilization of nonlinear systems. Automatic Control, IEEE Transactions on 58 (5), 1332-1337. https://doi.org/10.1109/TAC.2012.2225493Miskowicz, M., 2015. Event-Based Control and Signal Processing. CRC Press.Neenu, T., Poongodi, P., 07 2009. Position control of dc motor using genetic algorithm based pid controller. Lecture Notes in Engineering and Computer Science 2177.Olfati-Saber, R., Murray, R. M., 2004a. Consensus problems in networks of agents with switching topology and time-delays. Automatic Control, IEEE Transactions on 49 (9), 1520-1533. https://doi.org/10.1109/TAC.2004.834113Olfati-Saber, R., Murray, R. M., Sep. 2004b. Consensus problems in networks of agents with switching topology and time-delays. IEEE Transactions on Automatic Control 49 (9), 1520-1533. https://doi.org/10.1109/TAC.2004.834113Ren, W., Beard, R. W., 2008. Distributed consensus in multi-vehicle cooperative control. Springer. https://doi.org/10.1007/978-1-84800-015-5Sánchez-Santana, J., Guerrero-Castellanos, J., Villarreal-Cervantes, M., Ramırez-Martınez, S., 2018. Control distribuido y disparado por eventos para la formación de robots m'oviles tipo (3, 0)?. In: Congreso Nacional de Control Automático.Seyboth, G. S., Dimarogonas, D. V., Johansson, K. H., 2013. Event-based broadcasting for multi-agent average consensus. Automatica 49 (1), 245-252. https://doi.org/10.1016/j.automatica.2012.08.042Shi, T., Liu, H., Geng, Q., Xia, C., 2016. Improved relative coupling control structure for multi-motor speed synchronous driving system. IET Electric Power Applications 10 (6), 451-457. https://doi.org/10.1049/iet-epa.2015.0515Sira-Ramírez, H., Hernández-Méndez, A., Linares-Flores, J., Luviano-Juarez, A., 2016. Robust flat filtering dsp based control of the boost converter. Control Theory and Technology 14 (3), 224-236. https://doi.org/10.1007/s11768-016-6025-6Sira-Ramírez, H., Linares-Flores, J., Luviano-Juárez, A., Cortés-Romero, J., 2015. Ultramodelos globales y el control por rechazo activo de perturbaciones en sistemas no lineales diferencialmente planos. Revista Iberoamericanade Automática e Informática Industrial RIAIg 12 (2), 133 - 144. https://doi.org/10.1016/j.riai.2015.02.001Song, H., Rawat, D. B., Jeschke, S., Brecher, C., 2017. Front matter. In: Cyber- Physical Systems. Intelligent Data-Centric Systems. Academic Press, Boston, pp. i - ii.Sun, J., Liu, R., Luo, Y., Sun, W., 2009. Research on multi-motor synchronization control for cutter head of shield machine based on the ring coupled control strategy. In: Xie, M., Xiong, Y., Xiong, C., Liu, H., Hu, Z. (Eds.), Intelligent Robotics and Applications. Springer Berlin Heidelberg, Berlin, Heidelberg, pp. 345-354. https://doi.org/10.1007/978-3-642-10817-4_34Tao, L., Chen, Q., Nan, Y., Dong, F., Jin, Y., 09 2018. Speed tracking and synchronization of a multimotor system based on fuzzy adrc and enhanced adjacent coupling scheme. Complexity 2018, 1-16. https://doi.org/10.1155/2018/5632939Torres, F. J., Guerrero, G. V., García, C. D., Gomez, J. F., Adam, M., Escobar, R. F., Sep. 2016. Master-slave synchronization of robot manipulators driven by induction motors. IEEE Latin America Transactions 14 (9), 3986-3991. https://doi.org/10.1109/TLA.2016.7785923Valenzuela, A., Lorenz, R., 02 2001. Electronic line-shafting control for paper machine drives. Industry Applications, IEEE Transactions on 37, 158 - 164. https://doi.org/10.1109/28.903141Xia, C. L., 2012. Permanent magnet brushless DC motor drives and controls. John Wiley & Sons. https://doi.org/10.1002/9781118188347Xie, D., Xu, S., Zhang, B., Li, Y., Chu, Y., 2016. Consensus for multi-agent systems with distributed adaptive control and an event-triggered communication strategy. IET Control Theory Applications 10 (13), 1547-1555. https://doi.org/10.1049/iet-cta.2015.1221Yang, D., Ren,W., Liu, X., Dec 2014. Decentralized consensus for linear multiagent systems under general directed graphs based on event-triggered/selftriggered strategy. In: 53rd IEEE Conference on Decision and Control. pp. 1983-1988. https://doi.org/10.1109/CDC.2014.7039689Yu, H., Xi, J.-Q., Zhang, F., Hu, Y.-h., 02 2014. Research on gear shifting process without disengaging clutch for a parallel hybrid electric vehicle equipped with amt. Mathematical Problems in Engineering 2014, 1-12. https://doi.org/10.1155/2014/985652Zhang, C., Wu, H., He, J., Xu, C., 2015. Consensus tracking for multi-motor system via observer based variable structure approach. Journal of the Franklin Institute 352 (8), 3366 - 3377, special Issue on Advances in Nonlinear Dynamics and Control. https://doi.org/10.1016/j.jfranklin.2015.01.035Zhang, C.-H., Shi, Q.-S., Cheng, J., 01 2007. Design of fuzzy neural network controller for synchronization drive in multi-motor systems 22, 30-34.Zhang, X., Zhang, J., 2014. Distributed event-triggered control of multiagent systems with general linear dynamics. Journal of Control Science and Engineering 2014, 7. https://doi.org/10.1155/2014/698546Zhao, D., Li, C., Ren, J., 12 2009a. Speed synchronization of multiple induction motors with adjacent cross coupling control. pp. 6805-6810.Zhao, D.-Z., wen LI, C., REN, J., 2009b. Speed synchronization of multiple induction motors with total sliding mode control. Systems Engineering - Theory & Practice 29 (10), 110 - 117. https://doi.org/10.1016/S1874-8651(10)60077-4Zhao, G., Zhuang, B., Zheng, G., Zhao, Y., 09 2017. Cross-coupling control method for five-axis computer numerical control machine with dual rotary tables. Advances in Mechanical Engineering 9. https://doi.org/10.1177/1687814017733689Zhou, F., Huang, Z., Yang, Y., Wang, J., Li, L., Peng, J., 2017. Decentralized event-triggered cooperative control for multi-agent systems with uncertain dynamics using local estimators. Neurocomputing 237, 388 - 396. https://doi.org/10.1016/j.neucom.2017.01.02

Event-triggered Consensus Frameworks for Multi-agent Systems

Recently, distributed multi-agent systems (MAS) have been widely studied for a variety of engineering applications, including cooperative vehicular systems, sensor networks, and electrical power grids. To solve the allocated tasks in MASs, each agent autonomously determines the appropriate actions using information available locally and received from its neighbours. Many cooperative behaviours in MAS are based on a consensus algorithm. Consensus, by definition, is to distributively agree on a parameter of interest between the agents. Depending on the application, consensus has different configurations such as leader-following, formation, synchronization in robotic arms, and state estimation in sensor networks. Consensus in MASs requires local measurements and information exchanges between the neighbouring agents. Due to the energy restriction, hardware limitation, and bandwidth constraint, strategies that reduce the amount of measurements and information exchanges between the agents are of paramount interest. Event-triggering transmission schemes are among the most recent strategies that efficiently reduce the number of transmissions. This dissertation proposes a number of event-triggered consensus (ETC) implementations which are applicable to MASs. Different performance objectives and physical constraints, such as a desired convergence rate, robustness to uncertainty in control realization, information quantization, sampled-data processing, and resilience to denial of service (DoS) attacks are included in realization of the proposed algorithms. A novel convex optimization is proposed which simultaneously designs the control and event-triggering parameters in a unified framework. The optimization governs the trade-off between the consensus convergence rate and intensity of transmissions. This co-design optimization is extended to an advanced class of event-triggered schemes, known as the dynamic event-triggering (DET), which is able to substantially reduce the amount of transmissions. In the presence of DoS attacks, the co-design optimization simultaneously computes the control and DET parameters so that the number of transmissions is reduced and a desired level of resilience to DoS is guaranteed. In addition to consensus, a formation-containment implementation is proposed, where the amount of transmissions are reduced using the DET schemes. The performance of the proposed implementations are evaluated through simulation over several MASs. The experimental results demonstrate the effectiveness of the proposed implementations and verify their design flexibility