文献类型：期刊文献

英文题名：Asynchronous sliding mode control of singularly perturbed semi-Markovian jump systems: Application to an operational amplifier circuit

作者：Song, Jun[1];Niu, Yugang[1];Lam, Hak-Keung[2];Zou, Yuanyuan[3]

机构：[1]East China Univ Sci & Technol, Minist Educ, Key Lab Adv Control & Optimizat Chem Proc, Shanghai 200237, Peoples R China;[2]Kings Coll London, Dept Engn, London WC2R 2LS, England;[3]Shanghai Jiao Tong Univ, Dept Automat, Shanghai, Peoples R China

年份：2020

卷号：118

外文期刊名：AUTOMATICA

收录：;EI(收录号：20202008657271);WOS:【SCI-EXPANDED(收录号:WOS:000540246800017)】；

基金：This work was supported in part by the National Natural Science Foundation of China (Grant No. 61903143, 61673174 and 61773162), in part by the Shanghai Sailing Program, China (Grant No. 19YF1412100), and in part by the 111 Project (B17017) from China. The material in this paper was not presented at any conference.This paper was recommended for publication in revised form by Associate Editor Oswaldo Luiz V. Costa under the direction of Editor Richard Middleton.

语种：英文

外文关键词：Semi-Markovian jump system; Singular perturbation; Sliding mode control; Operational amplifier circuit; Genetic algorithm

摘要：This paper gives a new systematic framework to solve the asynchronous sliding mode control (SMC) problem for the semi-Markovian jump systems with singular perturbations, which can effectively remove the dependence on the unavailable system mode of SMC controller in some existing works. By considering the effect of the singular perturbation, this paper introduces a novel s-dependent common sliding function, and then an asynchronous SMC law is developed by just using the detected mode signal. In order to overcome the difficulties in analyzing the stability of the sliding mode dynamics and the reachability of the specified sliding surface, a novel matrix decoupling technique and a novel semi-Markovian Lyapunov function method are introduced. Besides, genetic algorithm (GA) is employed to solve two meaningful optimization problems arising from designing a desired asynchronous SMC scheme. Finally, an operational amplifier circuit with a switching positive temperature coefficient thermistor is simulated to show the practicability of the proposed asynchronous SMC approach via GA. (C) 2020 Elsevier Ltd. All rights reserved.