Non-fragile output feedback control design of uncertain Takagi-Sugeno Fuzzy Systems

Abstract

The paper is concerned with non-fragile control design via output feedback controller for uncertain fuzzy systems. In control design for physical systems, there are chances that malfunction in actuator happens and an exact value of the control input may not be applied. Hence, controller gain variations as well as uncertainty in the system parameters should be considered in the control design. Additionally, many results on the state feedback control design have been given in the literature. However, in the actual situation, the state of the system is rarely measured and the output feedback control design is desired. In this paper, non-fragile control via output feedback control for uncertain fuzzy systems is considered and a control design of stabilizing controllers with robustness against uncertainties of system parameters and control gains is proposed. Based on the descriptor system formulation, the robust stability analysis of the closed-loop system and controller design are given in terms of LMI conditions, which are less conservative than the existing results.