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| Received:March 03, 2006Revised:December 17, 2006 |
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| Delay-dependent H-infinity control for continuous time-delay systems via state feedback |
| Xinchun JIA, Yibo GAO, Jingmei ZHANG, Nanning ZHENG |
| (School of Mathematic Science, Shanxi University, Taiyuan Shanxi 030006, China;Department of Mathematics, Baoji University of Arts and Sciences, Baoji Shaanxi 721007, China;College of Electronic Information Engineering, Taiyuan University of Science and Technology, Taiyuan Shanxi 030024, China;Institute of Artificial Intelligence and Robotics, Xi’an Jiaotong University, Xi’an Shaanxi 710049, China) |
| Abstract: |
| The delay-dependent H-infinity analysis and H-infinity control problems for continuous time-delay systems are studied. By introducing an equality with some free weighting matrices, an improved criterion of delay-dependent stability with H-infinity performance for such systems is presented, and a criterion of existence and some design methods of
delay-dependent H-infinity controller for such systems are proposed in term of a set of matrix inequalities, which is solved efficiently by an iterative algorithm. Further, the corresponding results for the delay-dependent robust H-infinity analysis and robust H-infinity control problems for continuous time-delay uncertain systems are given. Finally, two numerical examples are given to illustrate the efficiency of the proposed method by comparing with the other existing results. |
| Key words: Time-delay system Delay-dependent stability H-infinity control State feedback LMI approach |
