Hybrid dynamical control based on consensus algorithms for current sharing in DC-bus microgrids

Abstract|The main objective of this work is to propose a novel paradigm for the design of two layers of control laws for DC-bus microgrids in islanded mode. An intensive attention will be paid to the inner control level for the regulation of DC-DC electronic power converters, where the use of Hybrid Dynamical System theory will be crucial to formulate and ex- ploit switching control signals in view of reducing the dissipated energy and improving system performance. Indeed, this recent theory is well suited for analysis of power electronic converters, since they combine continuous (voltage and currents) and discrete (on-o state of switches) signals avoiding, in this way, the use of averaged models. Likewise, an outer control level for controlling DC-bus microgrids will be developed to provide a distributed strategy that makes the microgrid scalable and robust with respect to black- outs of sources and/or loads, following the principle of t Multi-Agent System theory. In this distributed strategy, they are several crucial and innovative as- pects to be regarded such as the di erent converter architectures, the hybrid and nonlinear nature of these converters. Stability properties are guaranteed by using singular perturbation analysis.Grant “Hybrid self-adaptive multi-agent systems for microgrids (HISPALIS

Time-triggered and event-triggered control of switched affine systems via a hybrid dynamical approach

This paper focuses on the design of both periodic time- and event-triggered control laws of switched affine systems using a hybrid dynamical system approach. The novelties of this paper rely on the hybrid dynamical representation of this class of systems and on a free-matrix min-projection control, which relaxes the structure of the usual Lyapunov matrix-based min-projection control. This contribution also presents an extension of the usual periodic time-triggered implementation to the event-triggered one, where the control input updates are permitted only when a particular event is detected. Together with the definition of an appropriate optimization problem, a stabilization result is formulated to ensure the uniform global asymptotic stability of an attractor for both types of controllers, which is a neighborhood of the desired operating point. Finally, the proposed method is evaluated through a numerical example.Agence Nationale de la Recherche (ANR)France Grant ANR-18-CE40-0022-01Agencia Estatal de Investigación (AEI)-Spain Grant PID2019-105890RJ-10

Synchronization on a limit cycle of multi-agent systems governed by discrete-time switched affine dynamics

This paper addresses the problem of synchronizing a group of interacting discrete-time switched affine systems with centralized control laws. A first time-dependent control law is obtained directly, and then, two other state-dependent control laws are proposed to improve performance. The different methods are based on recent literature on switched affine systems and are evaluated on an academical example with a multi-agent system

Robust Hybrid Control for Demand Side Management in Islanded Microgrids

This paper focuses on designing a robust control law to manage the demand response of islanded microgrids composed of shifting and adjusting loads. On one side, Hybrid Dynamical System theory is suited here, because the microgrid model is composed of continuous-time dynamics (the energy stored in the battery and the adjustable loads), and discrete-time dynamics (the shifting loads). On the other side, Multi Agent System theory is used to control the adjusting loads in order to guarantee a consensus between them. Hence, non-uniform convergence of the State of Charge of the battery to a given reference is ensured. Robustness with respect to plug and play of any load and parameter variations is also ensured. Experimental results from a laboratory-scale microgrid validate the approach.Agencia Nacional de Investigación Francesa (ANR) ANR-18-CE40-0022-01Agencia Estatal de Investigación PID2019-105890RJI00Agencia Estatal de Investigación AEI/10.13039/501100011033Consejería de Economía y Conocimiento de Andalucía US-126591

Hybrid Modelling and Control of a Class of Power Converters With Triangular-Carrier PWM Inputs

In this paper, a new control design procedure for a class of power converters based on hybrid dynamical systems theory is presented. The continuous-time dynamics, as voltage and current signals, and discrete-time dynamics, as the on- off state of the switches, are captured with a hybrid model. This model avoids the use of averaged and approximated models and includes the PWM as well as the sample-and-hold mechanism, commonly used in the industry. Then, another simplified hybrid system, whose trajectories match with the original one, is selected to design the controller and to analyse stability properties. Finally, an estimation of the chattering in steady state of the voltage and current signals is provided. The results are validated through simulation and experiments.MCIN/ AEI Project PID2019-105890RJ-I00MCIN/ AEI Project PID2019-109071RB-I0

Linear matrix inequality relaxations and its application to data-driven control design for switched affine systems

The problem of data-driven control is addressed here in the context of switched affine systems. This class of nonlinear systems is of particular importance when controlling many types of applications in electronic, biology, medicine and so forth. Still in the view of practical applications, providing an accurate model for this class of systems can be a hard task, and it might be more relevant to work on data issued from some trajectories obtained from experiments and to deploy a new branch of tools to stabilize the systems that are compatible with the processed data. Following the recent concept of data-driven control design, this paper first presents a generic equivalence lemma that shows a matrix constraint based on data, instead of the system parameter. Then, following the concept of robust hybrid limit cycles for uncertain switched affine systems, robust model-based and then data-driven control laws are designed based on a Lyapunov approach. The proposed results are then illustrated and evaluated on an academic example

High performance control design for dynamic voltage scaling devices

Dynamic Voltage Scaling (DVS) is an important method in managing dynamically the system supply voltage for efficient power reduction. This approach is applied in Very-Large-Scale Integration (VLSI). A DC-DC converter is an electronic device which allows to vary the voltage and, thus, to implement DVS technique. In this paper, a high-performance controller is presented for a novel discrete DVS converter. This controller is developed with the aim to deal with the unknown resistive component of the load as well asto minimize the dissipated energy and current peaks, what is very important in the field of microelectronics. Current peaks and power consumption are minimized by computing an optimal evolution for the voltage reference. Likewise, an adaptive controller is proposed to deal with the unknown load resistive parameter. Consequently, the obtained advanced controller can acquires a high consideration on electronic devices.ARAVIS ProjectMinisterio de Ciencia e Innovación (España). FEDER DPI2009-09961Ministère de l'Enseignement Supérieur et de la Recherche (France

Adaptive Model Predictive Control of the Hybrid Dynamics of a Fuel Cell System

16TH IEEE INTERNATIONAL CONFERENCE ON CONTROL APPLICATIONS. PART OF IEEE MULTI-CONFERENCE ON SYSTEMS AND CONTROL 01/10/2007, SINGAPURIn this paper, an adaptive control scheme for the safe operation of a fuel cell system is presented. The aim of the control design is to guarantee that the oxygen ratio do not reach dangerous values. A first level of control is given by a feedforward control. An improved behavior is obtained using an adaptive predictive controller to determine the voltage to be applied to the air compressor. An admissible robust control invariant set for the PWA model of the system is computed. The control action of the predictive controller is obtained in such a way that the state is always included in the safe region characterized by the admissible robust control invariant set. This guarantees that the proposed controller always provides safe evolutions of the system