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Constrained control of positive discrete-time systems with delays
Liu, Xingwen1,2; Wang, Long3; Yu, Wensheng4; Zhong, Shouming5
Source PublicationIEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS
2008-02-01
Volume55Issue:2Pages:193-197
SubtypeArticle
AbstractThis 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.
KeywordConstrained Control Delay Linear Programming (Lp) Positive Linear Time-invariant (Lti) System Uncertainties
WOS HeadingsScience & Technology ; Technology
WOS KeywordLINEAR-SYSTEMS ; LYAPUNOV FUNCTIONS ; STABILITY
Indexed BySCI
Language英语
WOS Research AreaEngineering
WOS SubjectEngineering, Electrical & Electronic
WOS IDWOS:000253325200020
Citation statistics
Cited Times:64[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.ia.ac.cn/handle/173211/9682
Collection09年以前成果
Affiliation1.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
Recommended Citation
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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