Robust finite-time H<inf>∞</inf> control of linear time-varying delay systems with bounded control via Riccati equations

© 2017 Institute of Automation, Chinese Academy of Sciences and Springer-Verlag Berlin Heidelberg In this paper, we will present new results on robust finite-time H ∞ control for linear time-varying systems with both time-varying delay and bounded control. Delay-dependent sufficient conditions for...

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Bibliographic Details
Main Authors: Piyapong Niamsup, Vu N. Phat
Format: Journal
Published: 2018
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Online Access:https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85018998582&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/46656
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Institution: Chiang Mai University
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Summary:© 2017 Institute of Automation, Chinese Academy of Sciences and Springer-Verlag Berlin Heidelberg In this paper, we will present new results on robust finite-time H ∞ control for linear time-varying systems with both time-varying delay and bounded control. Delay-dependent sufficient conditions for robust finite-time stabilization and H ∞ control are first established to guarantee finite-time stability of the closed-loop system via solving Riccati differential equations. Applications to finite-time H ∞ control to a class of linear autonomous time-delay systems with bounded control are also discussed in this paper. Numerical examples are given to illustrate the effectiveness of the proposed method.