Output Feedback Control of Fuzzy Stochastic Systems

Abstract

This chapter focuses on the issue of the Hankel-norm output-feedback controller design for T-S fuzzy stochastic systems. The full-order controller design scheme with the Hankel-norm performance is established by using the fuzzy-basis-dependent Lyapunov function method and transforming the Hankel-norm controller parameters. Sufficient conditions are presented to design the controllers such that the resulting closed-loop system is stochastically stable and satisfies the specified performance. By solving a convex optimization issue, we can obtain the desired controller, which can be promptly resolved using standard numerical algorithms.