Stabilization of Arbitrary Switched Linear Systems With Unknown Time-Varying Delays
We consider continuous time switched systems that are stabilized via a computer. Several factors (sampling, computer computation, communications through a network, etc.) introduce model uncertainties produced by unknown varying feedback delays. These uncertainties can lead to instability when they a...
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Veröffentlicht in: | IEEE transactions on automatic control 2006-10, Vol.51 (10), p.1668-1674 |
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creator | Hetel, L. Daafouz, J. Iung, C. |
description | We consider continuous time switched systems that are stabilized via a computer. Several factors (sampling, computer computation, communications through a network, etc.) introduce model uncertainties produced by unknown varying feedback delays. These uncertainties can lead to instability when they are not taken into account. Our goal is to construct a switched digital control for continuous time switched systems that is robust to the varying feedback delay problem. The main contribution of this note is to show that the control synthesis problem in the context of unknown time varying delays can be expressed as a problem of stabilizability for uncertain systems with polytopic uncertainties |
doi_str_mv | 10.1109/TAC.2006.883030 |
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Several factors (sampling, computer computation, communications through a network, etc.) introduce model uncertainties produced by unknown varying feedback delays. These uncertainties can lead to instability when they are not taken into account. Our goal is to construct a switched digital control for continuous time switched systems that is robust to the varying feedback delay problem. The main contribution of this note is to show that the control synthesis problem in the context of unknown time varying delays can be expressed as a problem of stabilizability for uncertain systems with polytopic uncertainties</description><identifier>ISSN: 0018-9286</identifier><identifier>EISSN: 1558-2523</identifier><identifier>DOI: 10.1109/TAC.2006.883030</identifier><identifier>CODEN: IETAA9</identifier><language>eng</language><publisher>New York, NY: IEEE</publisher><subject>Applied sciences ; Automatic Control Engineering ; Communication switching ; Computer networks ; Computer Science ; Computer science; control theory; systems ; Computer simulation ; Control system analysis ; Control system synthesis ; Control systems ; Control theory ; Control theory. Systems ; Delay ; Delay effects ; Digital control ; Exact sciences and technology ; Feedback ; Linear matrix inequality (LMI) ; Linear systems ; Mathematical models ; polytopic uncertainties ; robustness ; Sampling ; Sampling methods ; switched linear systems ; Switched systems ; Time varying systems ; time-varying feedback delays ; Uncertainty</subject><ispartof>IEEE transactions on automatic control, 2006-10, Vol.51 (10), p.1668-1674</ispartof><rights>2007 INIST-CNRS</rights><rights>Copyright The Institute of Electrical and Electronics Engineers, Inc. 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Several factors (sampling, computer computation, communications through a network, etc.) introduce model uncertainties produced by unknown varying feedback delays. These uncertainties can lead to instability when they are not taken into account. Our goal is to construct a switched digital control for continuous time switched systems that is robust to the varying feedback delay problem. The main contribution of this note is to show that the control synthesis problem in the context of unknown time varying delays can be expressed as a problem of stabilizability for uncertain systems with polytopic uncertainties</description><subject>Applied sciences</subject><subject>Automatic Control Engineering</subject><subject>Communication switching</subject><subject>Computer networks</subject><subject>Computer Science</subject><subject>Computer science; control theory; systems</subject><subject>Computer simulation</subject><subject>Control system analysis</subject><subject>Control system synthesis</subject><subject>Control systems</subject><subject>Control theory</subject><subject>Control theory. Systems</subject><subject>Delay</subject><subject>Delay effects</subject><subject>Digital control</subject><subject>Exact sciences and technology</subject><subject>Feedback</subject><subject>Linear matrix inequality (LMI)</subject><subject>Linear systems</subject><subject>Mathematical models</subject><subject>polytopic uncertainties</subject><subject>robustness</subject><subject>Sampling</subject><subject>Sampling methods</subject><subject>switched linear systems</subject><subject>Switched systems</subject><subject>Time varying systems</subject><subject>time-varying feedback delays</subject><subject>Uncertainty</subject><issn>0018-9286</issn><issn>1558-2523</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2006</creationdate><recordtype>article</recordtype><sourceid>RIE</sourceid><recordid>eNpdkcFP2zAUh61pSOuA8w67WJPQxCHFjp3YPlZlwKRKHFq2o-U4z9SQOmCnQ91fj6OgIe1kPb_v_eynD6EvlMwpJepis1jOS0LquZSMMPIBzWhVyaKsSvYRzQihslClrD-hzyk95LLmnM7Qej2Yxnf-rxl8H3Dv8CI2fogmHvD6xQ92Cy1e-QAm4vUhDbBL-LcftvguPIb-JeCN30HxK-M-3ONL6MwhnaAjZ7oEp2_nMbq7-rFZ3hSr2-ufy8WqsEzyoSibVlrOaqCVaNtGckepk43hUFaWV01FnDDctq60TjGrWgmOgaFVI5xUAtgxOp9yt6bTT9Hv8i90b7y-Waz0eJe3LKmg_A_N7PeJfYr98x7SoHc-Weg6E6DfJy2l4pSreiS__Uc-9PsY8iJa1oKomiuWoYsJsrFPKYL79z4letShsw496tCTjjxx9hZrkjWdiyZYn97HJFVZyJj8deI8ALy3BRFSCvYKgH6SbQ</recordid><startdate>20061001</startdate><enddate>20061001</enddate><creator>Hetel, L.</creator><creator>Daafouz, J.</creator><creator>Iung, C.</creator><general>IEEE</general><general>Institute of Electrical and Electronics Engineers</general><general>The Institute of Electrical and Electronics Engineers, Inc. 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subjects | Applied sciences Automatic Control Engineering Communication switching Computer networks Computer Science Computer science control theory systems Computer simulation Control system analysis Control system synthesis Control systems Control theory Control theory. Systems Delay Delay effects Digital control Exact sciences and technology Feedback Linear matrix inequality (LMI) Linear systems Mathematical models polytopic uncertainties robustness Sampling Sampling methods switched linear systems Switched systems Time varying systems time-varying feedback delays Uncertainty |
title | Stabilization of Arbitrary Switched Linear Systems With Unknown Time-Varying Delays |
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