Robust H∞ sliding mode observer design for a class of Takagi-Sugeno fuzzy descriptor systems with time-varying delay

This paper focuses on the problem of robust H infinity sliding mode observer (SMO) design for a class of Takagi-Sugeno (T-S) fuzzy descriptor systems with time-varying delay. A SMO is designed by taking the control input and the measured output into account. Then a novel integral-type sliding surface, which involves the SMO gain matrix, is constructed for the error system. By using an appropriate Lyapunov-Krasovskii functional, a delay-dependent sufficient condition is established in terms of linear matrix inequality (LMI), which guarantees the sliding mode dynamic to be robustly admissible with H infinity performance and determines the SMO gain matrix. Moreover, a sliding mode control (SMC) law is synthesized such that the reachability can be ensured. Finally, simulations are presented to show the effectiveness of our results. (C) 2018 Elsevier Inc. All rights reserved.