Non-fragile guaranteed cost controller design for discrete descriptor systems with parameter uncertainty

Abstract

This paper is concerned with the design problem of non-fragile guaranteed cost controller for discrete descriptor systems with parameter uncertainty. The controller gain variations are assumed to be time-invariant and norm-bounded appearing in the controller coefficients. Sufficient conditions for the existence of a static state feedback guaranteed cost controller with additive uncertainty and multiplicative uncertainty are obtained in terms of a set of matrix inequalities, respectively. With these conditions, the problems of non-fragile guaranteed cost controller for discrete descriptor systems are solved. Explicit expressions of desired non-fragile state feedback guaranteed cost controllers are also given, and no matrix decomposition is required. Finally, an illustrative example is provided to demonstrate the applicability of the proposed approach.

Takagi-Sugeno Bilinear Based Model Non-fragile Guaranteed Cost Fuzzy Controller Design

“…[4] designed non-fragile H  filter by Linear Matrix Inequality (LMI) [5] method when controllers had additional perturbation. And there are some other papers [6][7][8] studied the non-fragile controller design methods for fuzzy system, but most of them are based on T-S linear model, not T-S bilinear model. Combining with the Lyapunov stability theory [9], robust control theory and H  control theory [10], using LMI, this paper discussed the stability and stabilization problems of fuzzy systems based on T-S bilinear model in detail.…”