Local Stabilization of Continuous-Time T–S Fuzzy Systems With Partly Measurable Premise Variables and Time-Varying Delay

Abstract

This paper investigates the local stabilization problem for T–S fuzzy systems with partly measurable premise variables and time-varying delay. First, by using the measurable premise variables, a novel output feedback controller scheme is proposed. Second, via restricting the reachable set into an ellipsoid set, which is bounded by the objective region, the system state can be contained into a prespecified area so that the purpose of local stabilization can be fulfilled. Furthermore, because of network delay, there is a deviation between the membership function of the system and those of the controller. By exploring the information of the deviation, the stabilization condition can be further relaxed. Compared with the existing results, the new asynchronous controller strategy can simultaneously make full use of the information of the measurable premise variables and the aforementioned deviation for a less conservative result. Finally, an illustrative example is given to show the applicability of the presented approach.