Improved Sampled-Data Asynchronous Control for T-S Fuzzy Systems by Fuzzy Line Integral and Looped Functional

Abstract

The sampled-data asynchronous control problem for T-S fuzzy systems is investigated in this paper. Firstly, a new fuzzy Lyapunov functional that contains the fuzzy line integral function and an improved looped functional is constructed, in which two new system state integral terms and some augmented terms are involved. Secondly, the asynchronous issue of premise variables is considered by taking some reasonable restrictions on the membership functions. Thirdly, based on the constructed fuzzy Lyapunov functional, with the help of some zero equations, new stability and stabilization conditions are established. Especially, the case of linear systems is presented to further illustrate the effectiveness of the constructed looped functional. Finally, two examples are given to show the superiority of this work.

Keywords

• Sampled-data
• asynchronous control
• T-S fuzzy systems
• looped functional
• fuzzy line integral function