具有半马尔可夫跳跃的时变时滞系统的滑模控制研究

Abstract

Abstract:

This paper studies the sliding mode controller design problem for uncertain continuous time-varying delay systems with the semi-Markov jump. Firstly, by studying the dynamic characteristics of the system, combined with the sliding mode surface, a singular system is established to describe the holonomic dynamics of the sliding mode. Then, building an appropriate Lyapunov functional by taking into account more information about time delay, a sufficient condition that guarantees the existence of sliding mode surface and the stochastic stability of sliding mode dynamics is given. Based on this, a sliding mode controller is designed to make the closed-loop system finally converge to the sliding mode surface. Finally, a numerical example is given to show the effectiveness of the developed approach.

Key words: Semi-Markov jump, Sliding mode control, Singular system approach, Time-varying delay systems, Stochastic stability

CLC Number:

O193

Fu Qinhong, Xiong Lianglin, Zhang Haiyang, Qin Ya, Quan Shenai. Sliding Mode Control for Time-Varying Delay Systems with Semi-Markov Jump[J].Acta mathematica scientia,Series A, 2023, 43(2): 549-562.

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Sliding Mode Control for Time-Varying Delay Systems with Semi-Markov Jump

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