Observer-based Output Feedback Control for T-S Fuzzy Time-Delay Systems

This study is concerned with the problem of observer-based output feedback control for T-S fuzzy systems with time-delay under imperfect premise matching. The objective is to design an observer-based controller such that the closed-loop control system is asymptotically stable. The proposed fuzzy controller and fuzzy observer do not need to share the same premise membership functions and number of rules with T-S fuzzy systems, which makes the controller and observer design more flexible. Using a recently developed integral inequality, a delay-dependent method for the controller and observer design is provided. With the help of some advanced matrix inequalities, the proposed conditions are presented in the form of linear matrix inequalities (LMIs). An illustrative example is given to show the effectiveness of the present result.