Fuzzy Controllers for Nonaffine-in-Control Singularly Perturbed Switched Systems

摘要

This paper investigates the problem of fuzzy controller design for nonaffine-in-control singularly perturbed switched systems (NCSPSSs). First, the NCSPSS is approximated by Takagi-Sugeno (T-S) models which include not only state but also control variables in the premise part of the rules. Then, a dynamic state feedback controller design method is proposed in terms of linear matrix inequalities. Under the controller, stability bound estimation problem of the closed-loop systemis solved. Finally, an example is given to show the feasibility and effectiveness of the obtained methods.