1934-6093/asset/cover.gif?v=1&s=3e3a5f0b217b8517d94320ef072f48b6ed1a5dee "Asian Journal of Control")
This work is supported by the NSFC (60374001, 60727002, 60774003), the COSTIND (A2120061303), and the National 973 Program (2005CB321902).
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Regular Paper
Robust H2/H∞ control for time-delay systems with polytopic uncertainty†
Article first published online: 19 FEB 2009
DOI: 10.1002/asjc.75
Copyright © 2009 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society
Additional Information
How to Cite
Sun, M., Jia, Y., Du, J. and Yu, F. (2009), Robust H2/H∞ control for time-delay systems with polytopic uncertainty. Asian Journal of Control, 11: 11–20. doi: 10.1002/asjc.75
- †
Publication History
- Issue published online: 19 FEB 2009
- Article first published online: 19 FEB 2009
- Manuscript Accepted: 6 FEB 2008
- Manuscript Received: 25 NOV 2007
- Abstract
- Article
- References
- Cited By
Keywords:
- Time-delay;
- linear matrix inequalities;
- polytopic uncertainty;
- multiobjective H2/H∞ control
Abstract
In this paper, new separated H∞ and H2 performance criteria are derived for a class of time-delay systems. When used in robust performance analysis and synthesis for real polytopic uncertainty and in multiobjective controller synthesis, they can partially rule out the technical restriction of using a single Lyapunov function, and therefore, lead to potentially less conservative linear matrix inequality (LMI) characterizations. Based on the criteria, robust multiobjective H2/H∞ controller is designed for time-delay systems with polytopic uncertainty. All the conditions are given in terms of LMIs. Numerical examples are given to illustrate the proposed method. Copyright © 2009 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society