Stabilization of Discrete-time Switched Linear Systems under Bounded States and Controls

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• 英文论文题名：Stabilization of Discrete-time Switched Linear Systems under Bounded States and Controls
• 论文作者：LIU Jinjin ; WANG Long ; LI Zhiqiang ; JIANG Zongcai
• 英文论文作者：LIU Jinjin ; WANG Long ; LI Zhiqiang ; JIANG Zongcai ; Department of Mathematics and Information Science ; Henan University of Economics and Law ; Department of Engineering Management ; Zhengzhou University of Aeronautics
• 年：2017
• 作者机构：Department of Mathematics and Information Science,Henan University of Economics and Law;Department of Engineering Management,Zhengzhou University of Aeronautics;
• 英文论文关键词：Switched linear systems ; positive systems ; bounded controls ; average dwell time ; linear programming
• 会议召开时间：2017-07-26
• 会议录名称：第36届中国控制会议论文集（B）
• 英文会议录名称：Proceedings of the 36th Chinese Control Conference（B）
• 语种：英文
• 分类号：TP13
• 学会代码：KZLL
• 会议名称：第36届中国控制会议
• 会议地点：中国辽宁大连
• 主办单位：中国自动化学会控制理论专业委员会
• 学会名称：中国自动化学会控制理论专业委员会
• 页数：6
• 文件大小：232k
• 原文格式：D
• 会议级别：全国

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.
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.

引文

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