| 变时滞不确定控制系统的保性能控制器设计 |
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| 引用本文： | 王天成,王耀才,王军威,年晓红.变时滞不确定控制系统的保性能控制器设计[J].中国矿业大学学报,2005,34(4):504-508. |
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| 作者姓名： | 王天成 王耀才 王军威 年晓红 |
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| 作者单位： | 1. 中国矿业大学,信息与电气工程学院,江苏,徐州,221008
2. 中南大学,信息科学与工程学院,湖南,长沙,410083 |
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| 基金项目： | 国家自然科学基金项目(60474029) |
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| 摘 要： | 本讨论了一类具有时变时滞不确定系统的无记忆状态反馈保性能控制器设计问题，系统的不确定性具有范数有界形式，时滞是时变函数甚至可以是无界函数，并且设计的控制器包含状态时滞，推导出了保性能控制器存在的充分条件，利用先进的线性矩阵不等式(LMIs)技术给出了保性能控制器的控制参数和保性能值，这些条件与时滞的导数有关，后给出一个无界时滞的仿真示例说明本方法的有效性。
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| 关 键 词： | 时滞 不确定系统 线性矩阵不等式 保性能控制器 |
| 文章编号： | 1000-1964(2005)04-0504-05 |
| 修稿时间： | 2004年9月6日 |
Guaranteed Cost Controller Design for Control Systems with Uncertain and Time-Varying Delay |
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| WANG Tian-Cheng,WANG Yao-cai,WANG Jun-wei,NIAN Xiao-Hong.Guaranteed Cost Controller Design for Control Systems with Uncertain and Time-Varying Delay[J].Journal of China University of Mining & Technology,2005,34(4):504-508. |
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| Authors: | WANG Tian-Cheng WANG Yao-cai WANG Jun-wei NIAN Xiao-Hong |
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| Affiliation: | WANG Tian-cheng~1,WANG Yao-cai~1,WANG Jun-wei~1,NIAN Xiao-hong~2 |
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| Abstract: | In this paper, the problem of designing memoryless state feedback guaranteed cost controller is studied for a class of uncertain system with time-delay. Uncertainties are assumed to be norm bound, delay to be function with time-varying or unbound respectively, and time-delay is contained in the controller. Sufficient conditions are derived for the existence of guaranteed cost controller. In terms of the linear matrix inequalities(LMIs) technique, the parameters of the guaranteed cost controllers and guaranteed cost value are obtained, the criterion is dependent on the size of derivative of the time-delay. Finally, a unbound time-delay numerical example is given to demonstrate that the derived method is effective. |
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| Keywords: | time-delay uncertain systems linear matrix inequality guaranteed cost controller |
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