| 不确定非线性时滞系统鲁棒镇定的进一步结果 |
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| 引用本文： | 焦晓红, 申铁龙, 孙元章. 不确定非线性时滞系统鲁棒镇定的进一步结果. 自动化学报, 2007, 33(2): 164-169. doi: 10.1360/aas-007-0164 |
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| 作者姓名： | 焦晓红 申铁龙 孙元章 |
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| 作者单位： | 1.燕山大学电气工程学院，秦皇岛 066004 |
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| 基金项目： | Supported by National Natural Science Foundation of P. R. China （50595413）, China Postdoctoral Science Foundation （2004036064） |
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| 摘 要： | 针对广义的不确定非线性时滞系统，研究了其鲁棒镇定控制器的系统的递归设计方法。通过递归地构造Lyapunov-Razumikhin函数获得了一种独立于延时的状态反馈控制律。证明了通过一些设计技术处理，由Razumikhin 条件的应用所带来的固有的设计障碍是可以被克服的，从而使得系统鲁棒镇定控制器的获得不需要任何对系统的限制条件。
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| 关 键 词： | 非线性时滞系统 鲁棒镇定 Lyapunov-Razumikhin函数 递归设计 |
| 收稿时间： | 2005-09-07 |
| 修稿时间： | 2006-09-21 |
Further Result on Robust Stabilization for Uncertain Nonlinear Time-delay Systems |
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| JIAO Xiao-Hong, SHEN Tie-Long, SUN Yuan-Zhang. Further Result on Robust Stabilization for Uncertain Nonlinear Time-delay Systems. ACTA AUTOMATICA SINICA, 2007, 33(2): 164-169. doi: 10.1360/aas-007-0164 |
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| Authors: | JIAO Xiao-Hong SHEN Tie-Long SUN Yuan-Zhang |
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| Affiliation: | 1. Institute of Electrical Engineering, Yanshan University, Qinhuangdao 066004, P. R. China 2. Department of Mechanical Engineering, Sophia University, Tokyo 102-8554, Japan 3. Department of Electrical Engineering, Tsinghua University, Beijing 100080, P. R. China |
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| Abstract: | The systematic recursive design method of the robust stabilizing controller for general uncertain nonlinear time-delay systems is investigated in this paper. A delay-independent state feedback control law can be obtained by recursively constructing Lyapunov-Razumikhin function. It is shown that by some design techniques the obstacle that is intrinsic to the application of the Razumikhin condition can be removed such that the design of the robust stabilizing control law is free of any restriction for the systems. |
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| Keywords: | Nonlinear time-delay systems robust stabilization Lyapunov-Razumikhin function recursive design |
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