H ∞ Control for T-S Fuzzy Singularly Perturbed Switched Systems

Abstract EN

This paper is concerned with the design of fuzzy controller with guaranteed H∞ performance for a class of Takagi-Sugeno (T-S) fuzzy singularly perturbed switched systems.

First, by using the average dwell time approach together with the piecewise Lyapunov function technique, a state feedback controller that depends on the singular perturbation parameter ε is developed.

This controller is shown to work well for all ε∈(0,ε0].

Then, for sufficiently small ε, an ε-independent controller design method is proposed.

Furthermore, under the ε-independent controller, the ε-bound estimation problem of the overall switched closed-loop system is solved.

Finally, an inverted pendulum system is used to evaluate the feasibility and effectiveness of the obtained results.