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.6653943832-494862018-08-16T02:19:21Z 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. 2018-08-16T02:19:21Z 2018-08-16T02:19:21Z 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/6653943832/49486 |
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Multidisciplinary |
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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 |
| description |
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. |
| format |
Journal |
| author |
Piyapong Niamsup Vu N. Phat |
| author_facet |
Piyapong Niamsup Vu N. Phat |
| author_sort |
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 |
| publishDate |
2018 |
| url |
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=70350111051&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/49486 |
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