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: | , |
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| Format: | Conference or Workshop Item |
| Published: |
2015
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| Subjects: | |
| Online Access: | 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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| Institution: | Chiang Mai University |
| Summary: | 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. |
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