Dynamic Sliding-Mode Control for T-S Fuzzy Singular Time-Delay Systems With ${H}_{\infty}$ Performance

IEEE Access

Qingling Zhang¹  Jiasheng Shi¹ 

[1] Institute of System Science, Northeastern University, Shenyang, China;

关键词: T-S fuzzy singular models;    LMIs;    Dynamic sliding-mode control;    time-delay;    H∞ control;   

DOI  :  10.1109/ACCESS.2019.2935456

来源: DOAJ

【 摘 要 】

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 sliding-mode 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 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.

【 授权许可】

Unknown