SMC for Discrete-Time Nonlinear Semi-Markovian Switching Systems With Partly Unknown Semi-Markov Kernel

• 成果类型: Article
• 署名作者: Qi, Wenhai; Zong, Guangdeng; Hou, Yakun; Chadli, Mohammed
• 署名单位: Qufu Normal University; Chengdu University; Tiangong University; Universite Paris Saclay
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2022.3169584
• 发表日期: 2023
• 页码: 1855-1861
• 关键词: Switches; switching systems; Density functional theory; Upper bound; kernel; uncertainty; Stability criteria; Discrete-time sliding mode control (DSMC); mean square stability; partly unknown semi-Markov kernel (SMK); semi-Markovian switching systems (S-MSSs)

摘要

This article is devoted to the discrete-time sliding mode control (DSMC) for nonlinear semi-Markovian switching systems (S-MSSs). Motivated by the fact that the complete information of the semi-Markov Kernel is difficult to be obtained in practical applications, it is recognized to be partly unknown as the most common mean. By utilizing the prior information of the sojourn-time upper bound for each switching mode, sufficient conditions under the equivalent DSMC law are proposed for the mean square stability. Moreover, the designed DSMC law realizes the finite-time reachability of the sliding region, and makes the sliding dynamics converge to the predesignated sliding region in a finite time. In the end, a numerical example and an electronic throttle model are given to validate the proposed control strategy.