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| DOI： |
| Received:March 25, 2005Revised:March 22, 2006 |
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| Delay-dependent robust H-infinity control for discrete-time uncertain systems with time-varying state delays |
| Xianming ZHANG, Min WU, Jinhua SHE, Dongsheng HAN |
| (School of Information Science and Engineering, Central South University, Changsha Hunan 410083, China;School of Mathematical Science and Computing Technology, Central South University, Changsha Hunan 410083, China;School of Bionics, Tokyo University of Technology, Tokyo 192-0982, Japan;Faculty of Business and Informatics, Central Queensland University, Rockhampton 4702, Australia) |
| Abstract: |
| This paper examines the delay-dependent H-infinity control problem for discrete-time linear systems with time-varying state delays and norm-bounded uncertainties. A new inequality for the finite sum of quadratic terms is first established. Then, some new delay-dependent criteria are derived by employing the new inequality to guarantee the robust stability of a closed-loop system with a prescribed H-infinity norm bound for all admissible uncertainties and bounded time-vary delays. A numerical example demonstrates that the proposed method is an improvement over existing ones. |
| Key words: Time-varying delay Discrete-time linear system Delay-dependent H-infinity control Finite-sum in- equality Memoryless state feedback |
