H<inf>∞</inf> optimal control of linear time-varying systems with time-varying delay via a controllability approach
This paper addresses the H∞ optimal control problem for a class of uncertain linear time-varying delay systems. The interesting features here are that the system in consideration is non-autonomous, the state delay is timevarying, and the controllers to be designed satisfy some exponential stability...
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th-cmuir.6653943832-599802018-09-10T03:26:07Z H<inf>∞</inf> optimal control of linear time-varying systems with time-varying delay via a controllability approach Piyapong Niamsup Vu N. Phat Multidisciplinary This paper addresses the H∞ optimal control problem for a class of uncertain linear time-varying delay systems. The interesting features here are that the system in consideration is non-autonomous, the state delay is timevarying, and the controllers to be designed satisfy some exponential stability constraints on the closed-loop poles. Based on the Lyapunov-Krasovskii functional method, we show that the H∞ optimal control problem for the system has a solution if some appropriate linear control delay-like system is globally controllable. 2018-09-10T03:26:07Z 2018-09-10T03:26:07Z 2009-09-01 Journal 15131874 2-s2.0-70350111051 10.2306/scienceasia1513-1874.2009.35.284 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=70350111051&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/59980 |
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Multidisciplinary Piyapong Niamsup Vu N. Phat H<inf>∞</inf> optimal control of linear time-varying systems with time-varying delay via a controllability approach |
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This paper addresses the H∞ optimal control problem for a class of uncertain linear time-varying delay systems. The interesting features here are that the system in consideration is non-autonomous, the state delay is timevarying, and the controllers to be designed satisfy some exponential stability constraints on the closed-loop poles. Based on the Lyapunov-Krasovskii functional method, we show that the H∞ optimal control problem for the system has a solution if some appropriate linear control delay-like system is globally controllable. |
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Piyapong Niamsup Vu N. Phat |
author_facet |
Piyapong Niamsup Vu N. Phat |
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Piyapong Niamsup |
title |
H<inf>∞</inf> optimal control of linear time-varying systems with time-varying delay via a controllability approach |
title_short |
H<inf>∞</inf> optimal control of linear time-varying systems with time-varying delay via a controllability approach |
title_full |
H<inf>∞</inf> optimal control of linear time-varying systems with time-varying delay via a controllability approach |
title_fullStr |
H<inf>∞</inf> optimal control of linear time-varying systems with time-varying delay via a controllability approach |
title_full_unstemmed |
H<inf>∞</inf> optimal control of linear time-varying systems with time-varying delay via a controllability approach |
title_sort |
h<inf>∞</inf> optimal control of linear time-varying systems with time-varying delay via a controllability approach |
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2018 |
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https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=70350111051&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/59980 |
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