Stabilization of Discrete-time Switched Linear Systems under Bounded States and Controls
作者单位：Department of Mathematics and Information ScienceHenan University of Economics and Law Department of Engineering ManagementZhengzhou University of Aeronautics
会议名称：《第36届中国控制会议》
主办单位：Dalian University of Technology;Systems Engineering Society of China (SESC);Technical Committee on Control Theory (TCCT), Chinese Association of Automation (CAA)
会议日期：2017年
学科分类：0711[理学-系统科学] 07[理学] 08[工学] 081101[工学-控制理论与控制工程] 0811[工学-控制科学与工程] 071102[理学-系统分析与集成] 081103[工学-系统工程]
基 金：supported by the National Natural Science Foundation under Grant 61640315 the doctoral program of Henan University of Economics and Law 800270
关 键 词：Switched linear systems positive systems bounded controls average dwell time linear programming
摘 要：The controller synthesis issue for a class of discrete-time switched linear systems via average dwell time switching with bounds on the controls and states is addressed. Firstly, the stabilization problem with sign-restricted controls while imposing positivity and stability on closed-loop system is solved, then the results extend to asymmetrically bounded controls and constrained states. In addition, the bounded control design about systems with polytopic uncertainties is studied. All the derived conditions are formulated as linear programming. Finally, a numerical example is given to show the applicability of the proposed methods.