Robust H∞ control of linear systems with interval non-differentiable time-varying delays

In this paper, robust H∞ control for a class of linear systems with time-varying delay is studied. The time delay is a continuous function belonging to a given interval, which means that the lower and upper bounds for the time-varying delay are available, but the delay function is not necessarily di...

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Main Authors: Emharuethai C., Niamsup P.
格式: Conference or Workshop Item
出版: 2015
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在線閱讀:http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=84872349808&origin=inward
http://cmuir.cmu.ac.th/handle/6653943832/38671
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機構: Chiang Mai University
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總結:In this paper, robust H∞ control for a class of linear systems with time-varying delay is studied. The time delay is a continuous function belonging to a given interval, which means that the lower and upper bounds for the time-varying delay are available, but the delay function is not necessarily differentiable. Based on Lyapunov-Krasovskii theory combined with Leibniz-Newton's formula, new delay-dependent sufficient conditions for the exponential stabilization and a prescribed H∞ performance level of the closed-loop system for all admissible uncertainties, are established in terms of LMIs. Numerical examples are given to illustrate the effectiveness of the theoretical results. © 2012 IEEE.