Dynamic sliding-mode control for T-S fuzzy singular time-delay systems with H∞ performance

Jiasheng Shi, Qingling Zhang
2019 IEEE Access  
In this paper, we propose a novel sliding-mode control for Takagi-Sugeno (T-S) fuzzy singular system with time-delay and mismatched uncertainties and disturbances. In the majority of T-S fuzzy slidingmode control ways, a restrictive assumption is required, that is every subsystem's input matrix is identical. In order to eliminate the restrictive assumption, we put forward a dynamic sliding-mode control method for T-S fuzzy singular time-delay systems. Additionally, the dynamic sliding-mode
more » ... c sliding-mode control law is designed to guarantee the reachability of the sliding surface in finite time interval. Stability of sliding motion is analyzed and the dynamic sliding-mode controller is parameterized in terms of the solutions of a set of linear matrix inequalities which facilitates design. In the end, three examples are shown to verify the merit and effectiveness of the proposed approaches are provided.
doi:10.1109/access.2019.2935456 fatcat:m7k3srzjpra5jgwwusdv3vekw4