| 一类非线性不确定时滞系统的鲁棒H_∞控制 |
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| 引用本文： | 张玲玲,马跃超,杨姗姗,陈晓静. 一类非线性不确定时滞系统的鲁棒H_∞控制[J]. 高师理科学刊, 2007, 27(4): 1-3 |
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| 作者姓名： | 张玲玲 马跃超 杨姗姗 陈晓静 |
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| 作者单位： | 1. 燕山大学,理学院,河北,秦皇岛,066004
2. 哈尔滨商业大学,数学系,黑龙江,哈尔滨,150028 |
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| 基金项目： | 国家自然科学基金资助项目(60574011) |
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| 摘 要： | 针对一类具有非线性不确定性的时滞系统,研究了系统的鲁棒H∞状态反馈控制器设计.假设非线性项是范数有界的,基于Lyapunov稳定性理论,利用线性矩阵不等式(LMI)处理方法,给出了系统H∞鲁棒镇定的充分条件,仅通过求解一个相应的线性矩阵不等式,就可得到鲁棒H∞控制器,使得闭环系统对于所有的不确定项满足鲁棒H∞性能,给出算例说明算法的有效性.
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| 关 键 词： | 非线性不确定性 时滞系统 鲁棒H_∞控制 线性矩阵不等式 |
| 文章编号： | 1007-9831（2007）04-0001-03 |
| 收稿时间： | 2007-03-06 |
| 修稿时间： | 2007-03-06 |
Robust H∞ control for a class of nonlinear uncertain time-delay systems |
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| ZHANG Ling-ling,MA Yue-chao,YANG Shan-shan,CHEN Xiao-jing. Robust H∞ control for a class of nonlinear uncertain time-delay systems[J]. Journal of Science of Teachers＇College and University, 2007, 27(4): 1-3 |
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| Authors: | ZHANG Ling-ling MA Yue-chao YANG Shan-shan CHEN Xiao-jing |
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| Affiliation: | 1. School of Science, Yanshan University, Qinhuangdao 066004, China; 2. Department of Mathematics, Harbin Business University, Harbin 150028, China |
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| Abstract: | A Robust state feedback controller design is considered for a class of linear time-delay system with nonlinear nonlinear uncertainty.Nonlinear uncertainty functions are assumed to satisfy the gain bounded ness condition.Based on Lyapunov stability theory and linear matrix inequality theory,a sufficient condition is presented for existence of the controller.By solving a linear matrix inequality,the state feedback controller were obtained.A illustrative example is given to demonstrate the effectiveness of the design method. |
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| Keywords: | nonlinear uncertainty time-delay systems Robust H∞control linear matrix inequality |
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