Decentralized formation control with connectivity maintenance and collision avoidance under limited and intermittent sensing

A decentralized switched controller is developed for dynamic agents to perform global formation configuration convergence while maintaining network connectivity and avoiding collision within agents and between stationary obstacles, using only local feedback under limited and intermittent sensing. Due to the intermittent sensing, constant position feedback may not be available for agents all the time. Intermittent sensing can also lead to a disconnected network or collisions between agents. Using a navigation function framework, a decentralized switched controller is developed to navigate the agents to the desired positions while ensuring network maintenance and collision avoidance.Comment: 8 pages, 2 figures, submitted to ACC 201

Coordination of Multirobot Teams and Groups in Constrained Environments: Models, Abstractions, and Control Policies

Robots can augment and even replace humans in dangerous environments, such as search and rescue and reconnaissance missions, yet robots used in these situations are largely tele-operated. In most cases, the robots\u27 performance depends on the operator\u27s ability to control and coordinate the robots, resulting in increased response time and poor situational awareness, and hindering multirobot cooperation. Many factors impede extended autonomy in these situations, including the unique nature of individual tasks, the number of robots needed, the complexity of coordinating heterogeneous robot teams, and the need to operate safely. These factors can be partly addressed by having many inexpensive robots and by control policies that provide guarantees on convergence and safety. In this thesis, we address the problem of synthesizing control policies for navigating teams of robots in constrained environments while providing guarantees on convergence and safety. The approach is as follows. We first model the configuration space of the group (a space in which the robots cannot violate the constraints) as a set of polytopes. For a group with a common goal configuration, we reduce complexity by constructing a configuration space for an abstracted group state. We then construct a discrete representation of the configuration space, on which we search for a path to the goal. Based on this path, we synthesize feedback controllers, decentralized affine controllers for kinematic systems and nonlinear feedback controllers for dynamical systems, on the polytopes, sequentially composing controllers to drive the system to the goal. We demonstrate the use of this method in urban environments and on groups of dynamical systems such as quadrotors. We reduce the complexity of multirobot coordination by using an informed graph search to simultaneously build the configuration space and find a path in its discrete representation to the goal. Furthermore, by using an abstraction on groups of robots we dissociate complexity from the number of robots in the group. Although the controllers are designed for navigation in known environments, they are indeed more versatile, as we demonstrate in a concluding simulation of six robots in a partially unknown environment with evolving communication links, object manipulation, and stigmergic interactions

An Overview of Recent Progress in the Study of Distributed Multi-agent Coordination

This article reviews some main results and progress in distributed multi-agent coordination, focusing on papers published in major control systems and robotics journals since 2006. Distributed coordination of multiple vehicles, including unmanned aerial vehicles, unmanned ground vehicles and unmanned underwater vehicles, has been a very active research subject studied extensively by the systems and control community. The recent results in this area are categorized into several directions, such as consensus, formation control, optimization, task assignment, and estimation. After the review, a short discussion section is included to summarize the existing research and to propose several promising research directions along with some open problems that are deemed important for further investigations

Formation control of nonholonomic mobile robots: the virtual structure approach

PhDIn recent years, there has been a considerable growth in applications of multi-robot systems as opposed to single-robot systems. This thesis presents our proposed solutions to a formation control problem in which mobile robots are required to create a desired formation shape and track a desired trajectory as a whole. In the first instance, we study the formation control problem for unicycle mobile robots. We propose two control algorithms based on a cascaded approach: one based on a kinematic model of a robot and the other based on a dynamic model. We also propose a saturated controller in which actuator limitations are explicitly accounted for. To demonstrate how the control algorithms work, we present an extensive simulation and experimental study. Thereafter we move on to formation control algorithms in which the coordination error is explicitly defined. Thus, we are able to give conditions for robots keeping their desired formation shape without necessarily tracking the desired trajectory. We also introduce a controller in which both trajectory tracking and formation shape maintenance are achieved as well as a saturated algorithm. We validate the applicability of the introduced controllers in simulations and experiments. Lastly, we study the formation control problem for car-like robots. In this case we develop a controller using the backstepping technique. We give conditions for robots keeping their desired formation shape while failing to track their desired trajectories and present simulation results to demonstrate the applicability of the proposed controlle

Nonlinear Control Strategies for Cooperative Control of Multi-Robot Systems

This thesis deals with distributed control strategies for cooperative control of multi-robot systems. Specifically, distributed coordination strategies are presented for groups of mobile robots. The formation control problem is initially solved exploiting artificial potential fields. The purpose of the presented formation control algorithm is to drive a group of mobile robots to create a completely arbitrarily shaped formation. Robots are initially controlled to create a regular polygon formation. A bijective coordinate transformation is then exploited to extend the scope of this strategy, to obtain arbitrarily shaped formations. For this purpose, artificial potential fields are specifically designed, and robots are driven to follow their negative gradient. Artificial potential fields are then subsequently exploited to solve the coordinated path tracking problem, thus making the robots autonomously spread along predefined paths, and move along them in a coordinated way. Formation control problem is then solved exploiting a consensus based approach. Specifically, weighted graphs are used both to define the desired formation, and to implement collision avoidance. As expected for consensus based algorithms, this control strategy is experimentally shown to be robust to the presence of communication delays. The global connectivity maintenance issue is then considered. Specifically, an estimation procedure is introduced to allow each agent to compute its own estimate of the algebraic connectivity of the communication graph, in a distributed manner. This estimate is then exploited to develop a gradient based control strategy that ensures that the communication graph remains connected, as the system evolves. The proposed control strategy is developed initially for single-integrator kinematic agents, and is then extended to Lagrangian dynamical systems

Distributed control based on evolutionary game theory: multi-agent experiment

In this Master's thesis are applied distributed consensus and game theoretical algorithms to control a population of agents. The agents are embodies by Lego Mindstorm robots and controlled remotely with Bluetooth by the PC. Using a platform implemented in LabVIEW, which includes a camera and a pattern recognition tool, the robots are controlled to perform different tasks such as convergence to consensus position and formatio

Active SLAM: A Review On Last Decade

This article presents a comprehensive review of the Active Simultaneous Localization and Mapping (A-SLAM) research conducted over the past decade. It explores the formulation, applications, and methodologies employed in A-SLAM, particularly in trajectory generation and control-action selection, drawing on concepts from Information Theory (IT) and the Theory of Optimal Experimental Design (TOED). This review includes both qualitative and quantitative analyses of various approaches, deployment scenarios, configurations, path-planning methods, and utility functions within A-SLAM research. Furthermore, this article introduces a novel analysis of Active Collaborative SLAM (AC-SLAM), focusing on collaborative aspects within SLAM systems. It includes a thorough examination of collaborative parameters and approaches, supported by both qualitative and statistical assessments. This study also identifies limitations in the existing literature and suggests potential avenues for future research. This survey serves as a valuable resource for researchers seeking insights into A-SLAM methods and techniques, offering a current overview of A-SLAM formulation.Comment: 34 pages, 8 figures, 6 table

Distributed consensus in multi-robot systems with visual perception

La idea de equipos de robots actuando con autonomía y de manera cooperativa está cada día más cerca de convertirse en realidad. Los sistemas multi robot pueden ejecutar tareas de gran complejidad con mayor robustez y en menos tiempo que un robot trabajando solo. Por otra parte, la coordinación de un equipo de robots introduce complicaciones que los ingenieros encargados de diseñar estos sistemas deben afrontar. Conseguir que la percepción del entorno sea consistente en todos los robots es uno de los aspectos más importantes requeridos en cualquier tarea cooperativa, lo que implica que las observaciones de cada robot del equipo deben ser transmitidas a todos los otros miembros. Cuando dos o más robots poseen información común del entorno, el equipo debe alcanzar un consenso usando toda la información disponible. Esto se debe hacer considerando las limitaciones de cada robot, teniendo en cuenta que no todos los robots se pueden comunicar unos con otros. Con este objetivo, se aborda la tarea de diseñar algoritmos distribuidos que consigan que un equipo de robots llegue a un consenso acerca de la información percibida por todos los miembros. Específicamente, nos centramos en resolver este problema cuando los robots usan la visión como sensor para percibir el entorno. Las cámaras convencionales son muy útiles a la hora de ejecutar tareas como la navegación y la construcción de mapas, esenciales en el ámbito de la robótica, gracias a la gran cantidad de información que contiene cada imagen. Sin embargo, el uso de estos sensores en un marco distribuido introduce una gran cantidad de complicaciones adicionales que deben ser abordadas si se quiere cumplir el objetivo propuesto. En esta Tesis presentamos un estudio profundo de los algoritmos distribuidos de consenso y cómo estos pueden ser usados por un equipo de robots equipados con cámaras convencionales, resolviendo los aspectos más importantes relacionados con el uso de estos sensores. En la primera parte de la Tesis nos centramos en encontrar correspondencias globales entre las observaciones de todos los robots. De esta manera, los robots son capaces de detectar que observaciones deben ser combinadas para el cálculo del consenso. También lidiamos con el problema de la robustez y la detección distribuida de espurios durante el cálculo del consenso. Para contrarrestar el incremento del tamaño de los mensajes intercambiados por los robots en las etapas anteriores, usamos las propiedades de los polinomios de Chebyshev, reduciendo el número de iteraciones que se requieren para alcanzar el consenso. En la segunda parte de la Tesis, centramos nuestra atención en los problemas de crear un mapa y controlar el movimiento del equipo de robots. Presentamos soluciones para alcanzar un consenso en estos escenarios mediante el uso de técnicas de visión por computador ampliamente conocidas. El uso de algoritmos de estructura y movimiento nos permite obviar restricciones tales como que los robots tengan que observarse unos a otros directamente durante el control o la necesidad de especificar un marco de referencia común. Adicionalmente, nuestros algoritmos tienen un comportamiento robusto cuando la calibración de las cámaras no se conoce. Finalmente, la evaluación de las propuestas se realiza utilizando un data set de un entorno urbano y robots reales con restricciones de movimiento no holónomas. Todos los algoritmos que se presentan en esta Tesis han sido diseñados para ser ejecutados de manera distribuida. En la Tesis demostramos de manera teórica las principales propiedades de los algoritmos que se proponen y evaluamos la calidad de los mismos con datos simulados e imágenes reales. En resumen, las principales contribuciones de esta Tesis son: • Un conjunto de algoritmos distribuidos que permiten a un equipo de robots equipados con cámaras convencionales alcanzar un consenso acerca de la información que perciben. En particular, proponemos tres algoritmos distribuidos con el objetivo de resolver los problemas de encontrar correspondencias globales entre la información de todos los robots, detectar y descartar información espuria, y reducir el número de veces que los robots tienen que comunicarse entre ellos antes de alcanzar el consenso. • La combinación de técnicas de consenso distribuido y estructura y movimiento en tareas de control y percepción. Se ha diseñado un algoritmo para construir un mapa topológico de manera cooperativa usando planos como características del mapa y restricciones de homografía como elementos para relacionar las observaciones de los robots. También se ha propuesto una ley de control distribuida utilizando la geometría epipolar con el objetivo de hacer que el equipo de robots alcance una orientación común sin la necesidad de observarse directamente unos a otros