Fuzzy control for a class of networked control systems with the variation ranges of asynchronous membership functions

This paper is concerned with the stabilization problems for a networked control system based on Takagi-Sugeno(T-S) fuzzy model. Under the network environment, compared with premise variables in T-S fuzzy systems, the premise variables in fuzzy rules of controller have different time scales. Then, by utilizing the variation ranges of asynchronous membership functions, a sufficient condition is derived to ensure that the closed-loop system is asymptotically stable with a prescribed H∞ performance index. A nonlinear mass-spring system is studied to show the effectiveness of the proposed approach.