Decentralized Controller Design for Large Scale Switched Takagi-Sugeno Systems with H∞ Performance Specifications

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 closedloop system, a set of switched non-ParallelDistributed-Compensation (non-PDC) outputfeedback 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 e ectiveness of the suggested decentralized switched controller design approach.

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