Affiliation:
1. School of Electrical and Information Engineering, Jiangsu University of Technology, Changzhou, China
Abstract
This article considers the finite-time [Formula: see text] control problem for singular Markovian jump systems with time-varying delay subject to input saturation. Considering the discontinuities caused by the mode-dependent singular matrix and Markovian jump switching behavior, the result of this article is more practical. First, a hidden model-based state feedback controller is designed to guarantee that the considered system is mean-square locally finite-time [Formula: see text] stabilizable by employing an appropriate Lyapunov function. Second, some sufficient conditions for the solution to this problem are derived in terms of linear matrix inequalities which considers the time-varying delay and input saturation. Finally, the correctness of the proposed method is verified by three numerical examples.
Funder
National Natural Science Foundation of China
Subject
Mechanical Engineering,Control and Systems Engineering