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Quasi‐Time‐Dependent H ∞ Controller for Discrete‐Time Switched Linear Systems With Mode‐Dependent Average Dwell‐Time
Author(s) -
Zheng Hui,
Sun Guanghui,
Ren Yu,
Tian Congcong
Publication year - 2018
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.1568
Subject(s) - dwell time , control theory (sociology) , discrete time and continuous time , lyapunov function , mode (computer interface) , controller (irrigation) , function (biology) , stability (learning theory) , computer science , mathematics , control (management) , nonlinear system , physics , statistics , medicine , clinical psychology , quantum mechanics , artificial intelligence , evolutionary biology , machine learning , agronomy , biology , operating system
This paper is concerned with the stability and stabilization problem of a class of discrete‐time switched systems with mode‐dependent average dwell time (MDADT). A novel Lyapunov function, which is both mode‐dependent (MD) and quasi‐time‐dependent (QTD), is established. The new established Lyapunov function is allowed to increase at some certain time instants. A QTDH ∞controller is designed such that the system is globally uniformly asymptotically stable (GUAS) and has a guaranteedH ∞performance index. The new QTD robust controller designed in this paper is less conservative than the mode independent one which is frequently considered in literatures. Finally, a numerical example and a practical example are provided to illustrate the effectiveness of the developed results. H ∞