Abstract
This paper investigates the design of decentralized controllers for a class of large scale switched nonlinear systems under arbitrary switching laws. A global large scale switched system can be split into a set of smaller interconnected switched Takagi-Sugeno fuzzy subsystems. In this context, to stabilize the overall closed-loop system, a set of switched non-Parallel-Distributed-Compensation (non-PDC) output-feedback controllers is considered. The latter is designed based on Linear Matrix Inequalities (LMI) conditions obtained from a multiple switched non-quadratic Lyapunov-like candidate function. The controllers proposed herein are synthesized to satisfy H∞ performances for disturbance attenuation. Finally, a numerical example is proposed to illustrate the effectiveness of the suggested decentralized switched controller design approach. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Highlights
During the last few decades, several complex systems are appeared to meet the specific needs of the world population
Few works based on the approximation property of Takagi-Sugeno (TS) fuzzy models for nonlinear problems have been achieved to deal with the stabilization of continuous-time large-scale switched nonlinear systems [3], [8]-[12]
An adaptive fuzzy decentralized output-feedback tracking control has been explored in [12] for a class of switched nonlinear largescale systems under the assumption that the large-scale system was composed of subsystems interconnected by their outputs
Summary
During the last few decades, several complex systems are appeared to meet the specific needs of the world population. It consists in decomposing the overall large-scale system in a finite set of interconnected low-order subsystems [1] Among these complex systems, switched interconnected large-scale system have attracted considerable attention since they provide a convenient modelling approach for many physical systems that can exhibit both continuous and discrete dynamic behavior. In this context, several studies dealing with the stability analysis and stabilization issues for both linear and nonlinear switched interconnected large-scale systems have been explored [1]-[8]. An adaptive fuzzy decentralized output-feedback tracking control has been explored in [12] for a class of switched nonlinear largescale systems under the assumption that the large-scale system was composed of subsystems interconnected by their outputs.
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