Reliable guaranteed cost control for uncertain fuzzy neutral systems

Abstract

This paper focuses on the problem of robust reliable guaranteed cost control for a class of uncertain Takagi–Sugeno fuzzy neutral systems with linear fractional parametric uncertainties. The aim is to design a state feedback controller such that, for all admissible uncertainties as well as actuator failures occurring among the prespecified subset of actuators, the plant remains asymptotically stable and guarantees an adequate level of a quadratic cost index. Based on the Lyapunov–Krasovskii functional, the Barbalat lemma, the descriptor system approach and the free weighting matrix method, new delay-dependent sufficient conditions for solvability of this problem are presented in terms of LMIs. Based on that, the design problem of the optimal reliable guaranteed cost controller is formulated as a convex optimization problem. Finally, a simulation example is provided to demonstrate the effectiveness of the proposed method.