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| Delay-dependent H-infinity control for continuous time-delay systems via state feedback | |
| 作者姓名： | Xinchun JIA Yibo GAO Jingmei ZHANG Nanning ZHENG |
| 作者单位： | 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 |
| 基金项目： | This work was supported by the National Natural Science Foundation of China （No. 60024301） and Natural Science Fund of Shanxi Province of China （No. 20051032）. |
| 摘 要： | |
| 关 键 词： | H∞控制 连续时滞系统 状态反馈 自动控制理论 |
| 收稿时间： | 3/3/2006 12:00:00 AM |
| 修稿时间： | 2006-03-03 |
Delay-dependent H-infinity control for continuous time-delay systems via state feedback |
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| Xinchun JIA,Yibo GAO,Jingmei ZHANG,Nanning ZHENG.Delay-dependent H-infinity control for continuous time-delay systems via state feedback[J].Journal of Control Theory and Applications,2007,5(3):221-226. | |
| Authors: | Xinchun JIA Yibo GAO Jingmei ZHANG Nanning ZHENG |
| Affiliation: | 1. School of Mathematic Science, Shanxi University, Taiyuan Shanxi 030006, China 2. Department of Mathematics, Baoji University of Arts and Sciences, Baoji Shaanxi 721007, China 3. College of Electronic Information Engineering, Taiyuan University of Science and Technology, Taiyuan Shanxi 030024, China 4. 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. |
| Keywords: | Time-delay system Delay-dependent stability H-infinity control State feedback LMI approach |
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