Fuzzy guaranteed cost output tracking control for fuzzy discrete-time systems with different premise variables

Abstract

This article investigates the problem of output tracking control for a class of discrete-time interval type-2 (IT2) fuzzy systems subject to mismatched premise variables. Based on the IT2 Takagi-Sugeno (T-S) fuzzy model, the criterion to design the desired controller is obtained, which guarantees the closed-loop system to be asymptotically stable and satisfies the predefined cost function. Moreover, the controller to be designed does not need to share the same premise variables of the system, which enhances the flexibility of controller design and reduces the conservativeness. Finally, two examples are provided to demonstrate the effectiveness of the method proposed in this article.