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Constrained control of positive discrete-time systems with delays
Liu, Xingwen1,2; Wang, Long3; Yu, Wensheng4; Zhong, Shouming5
2008-02-01
发表期刊IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS
卷号55期号:2页码:193-197
文章类型Article
摘要This brief addresses the control problem of linear time-invariant discrete-time systems with delays. The control is under positivity constraint, which means that the resulting closed-loop systems are not only stable, but also positive. The contribution lies in three aspects. First, a necessary and sufficient condition is established for the existence of such controllers for discrete-time delayed systems. Second, a sufficient condition is provided under the additional constraint of bounded control, which means that the control inputs and the states of the closed-loop systems are bounded. Third, sufficient conditions are proposed for discrete-time delayed systems with uncertainties, whether or not bounded control is considered. All the results are formulated as linear programming problems, hence easy to be verified. And the controllers are explicitly constructed if existent.
关键词Constrained Control Delay Linear Programming (Lp) Positive Linear Time-invariant (Lti) System Uncertainties
WOS标题词Science & Technology ; Technology
关键词[WOS]LINEAR-SYSTEMS ; LYAPUNOV FUNCTIONS ; STABILITY
收录类别SCI
语种英语
WOS研究方向Engineering
WOS类目Engineering, Electrical & Electronic
WOS记录号WOS:000253325200020
引用统计
文献类型期刊论文
条目标识符http://ir.ia.ac.cn/handle/173211/9662
专题09年以前成果
作者单位1.SW Univ Natl China, Inst Elect & Informat Engn, Chengdu 610041, Peoples R China
2.Univ Elect Sci & Technol China, Sch Automat Engn, Chengdu 610054, Peoples R China
3.Peking Univ, Ctr Syst & Control, Dept Mech & Engn Sci, Beijing 100871, Peoples R China
4.Chinese Acad Sci, Inst Automat, Key Lab Complex Syst & Intelligence Sci, Beijing 100080, Peoples R China
5.Univ Elect Sci & Technol China, Coll Appl Math, Chengdu 610054, Peoples R China
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GB/T 7714
Liu, Xingwen,Wang, Long,Yu, Wensheng,et al. Constrained control of positive discrete-time systems with delays[J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS,2008,55(2):193-197.
APA Liu, Xingwen,Wang, Long,Yu, Wensheng,&Zhong, Shouming.(2008).Constrained control of positive discrete-time systems with delays.IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS,55(2),193-197.
MLA Liu, Xingwen,et al."Constrained control of positive discrete-time systems with delays".IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS 55.2(2008):193-197.
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