Constrained control of positive discrete-time systems with delays

	Constrained control of positive discrete-time systems with delays
	Liu, Xingwen 1,2; Wang, Long 3; Yu, Wensheng 4; Zhong, Shouming 5
刊名	IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS
	2008-02-01
卷号	55 期号:2 页码:193-197
关键词	constrained control delay linear programming (LP) positive linear time-invariant (LTI) system uncertainties
英文摘要	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.
WOS标题词	Science & Technology ; Technology
类目[WOS]	Engineering, Electrical & Electronic
研究领域[WOS]	Engineering
关键词[WOS]	LINEAR-SYSTEMS ; LYAPUNOV FUNCTIONS ; STABILITY
收录类别	SCI
语种	英语
WOS记录号	WOS:000253325200020
公开日期	2015-12-24
内容类型	期刊论文
源URL	[http://ir.ia.ac.cn/handle/173211/9682]
专题	自动化研究所_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
推荐引用方式 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.