Affiliations: [a] School of Automation and Electrical Engineering, University of Science and Technology Beijing, Beijing, China
| [b] National Engineering Research Center for Advanced Rolling and Intelligent Manufacturing, University of Science and Technology Beijing, Beijing, China
| [c] Key Laboratory of Knowledge Automation for Industrial Processes, Ministry of Education, Beijing, China
Correspondence:
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Corresponding author. Fengwei Jing, National Engineering Research Center for Advanced Rolling and Intelligent Manufacturing, University of Science and Technology Beijing, Beijing 100083, China. E-mail: jingfengwei@nercar.ustb.edu.cn.
Abstract: This paper studies the security control problem of semi-Markov jump systems. First, the parameter uncertainty, the time-varying delay, the nonlinear function and the cyber attack are considered in the system. Second, the nonlinear function is linearized by the fuzzy logic rule. A sliding mode surface is designed to obtain an equivalent controller and get a sliding mode dynamic system. By constructing Lyapunov functions of the mode dependence, a sufficient condition for H∞ asymptotic stability of the system is obtained. Then, an adaptive sliding mode controller is established, and the original system reaches the sliding mode surface in a finite time. Finally, two examples verify the correctness and practicality of the proposed theory.
