A novel matrix approach to static output feedback stabilization of discrete event dynamic systems
作者单位：College of Computer and Control Engineering Nankai University Tianjin Key Laboratory of Intelligent Robotics Nankai University
会议名称：《第37届中国控制会议》
会议日期：2018年
学科分类：0711[理学-系统科学] 07[理学] 08[工学] 070105[理学-运筹学与控制论] 081101[工学-控制理论与控制工程] 071101[理学-系统理论] 0811[工学-控制科学与工程] 0701[理学-数学]
基 金：supported by National Natural Science Foundation(NNSF)of China under Grant Nos.61573199 and 61573200
关 键 词：Semi-tensor product(STP) of matrices Discrete event dynamical systems(DESs) Finite automata Moore automata Static output feedback stabilization
摘 要：In this paper, the static output feedback stabilization of discrete event dynamic systems（DESs） via the semi-tensor product（STP） of matrices is investigated. Firstly, the dynamics of discrete event dynamical systems modelled by deterministic Moore-type finite automata are converted into an matrix expression in the STP frame. Secondly, necessary and sufficient condition for the existence of a static output feedback control pattern, stabilizing the controlled discrete event dynamical systems to some equilibrium point, is given, and constructive algorithm to seek the static output feedback control pattern is ***, a example is presented to illustrate the effectiveness of the proposed approach.