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

Abstract EN

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 system is solved.

Finally, an example is given to show the feasibility and effectiveness of the obtained methods.