PROJECT TITLE :

State and Output Feedback Control of Interval Type-2 Fuzzy Systems With Mismatched Membership Functions

ABSTRACT:

This paper is concerned with the problems of state and output feedback management for interval kind-2 (IT2) fuzzy systems with mismatched membership functions. The IT2 fuzzy model and therefore the IT2 state and output feedback controllers do not share the identical membership functions. A completely unique performance index, that is expressed as an extended dissipativity performance, is introduced to be a generalization of $H_infty $ , $L_2$– $L_infty $, passive, and dissipativity performances indexes. Initial, the IT2 Takagi–Sugeno fuzzy model and the controllers are constructed by considering the mismatched membership functions. Second, on the basis of Lyapunov stability theory, the IT2 fuzzy state and output feedback controllers are designed, respectively, to ensure that the closed-loop system is asymptotically stable with extended dissipativity performance. The existence conditions of the 2 types of controllers are obtained in terms of convex optimization problems, which will be solved by standard software. Finally, simulation results are provided to illustrate the effectiveness of the proposed strategies.