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

被引：102
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
来源：
AUTOMATICA | 2020年 / 118卷 / 118期
基金：
中国国家自然科学基金;
关键词：
Semi-Markovian jump system; Singular perturbation; Sliding mode control; Operational amplifier circuit; Genetic algorithm; H-INFINITY CONTROL; LINEAR-SYSTEMS; STATE;
D O I：
10.1016/j.automatica.2020.109026
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
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.
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页数：8
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