Output-Feedback Control of Interval Type-2 Fuzzy-Model-Based Systems

Abstract

This chapter investigates the problem of reliable mixed $H_2/H_\infty$ control for discrete-time IT2 fuzzy systems via static output-feedback control method. The number of fuzzy rules and the membership functions for the static output-feedback controller are different from those for the plant. A sufficient criterion of reliable stability with mixed $H_{2}/H_\infty$ performance is derived for the closed-loop system with sensor failure. The static output-feedback controller is designed for two different cases (known sensor failure case and unknown sensor failure case) to guarantee the reliable stability with mixed $H_2/H_\infty$ performance. Moreover, a novel criteria are presented to obtain the optical $H_2$ performance for the closed-loop system.