Non-Fragile Dynamic Output Feedback Control Design for Fuzzy Stochastic Systems

Abstract

The paper considers a non-fagile control design via dynamic output feedback controller for fuzzy stochastic systems that are subject to stochastic disturbances. In practical situations, robust control design methods should take case of disturbances into the system and variations in control gains, and they should assume that not all the states of the system are available for the feedback control. In addition, malfunction may occur in actuators. Hence, a non-fragile output feedback control design is desired. In this paper, robust stabilization via dynamic output feedback control with uncertain control gain for fuzzy stochastic systems is considered and a control design of robust stabilizing controllers is proposed. The robust stability analysis of the closed-loop system and non-fragile controller design via descriptor system approach are given in terms of LMI conditions. The resulting conditions are less conservative than the existing results. An illustrative example is provided to show the effectiveness of the proposed method.