| 基于观测器的一类Lipschitz非线性系统鲁棒控制器的设计 |
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| 引用本文： | 王康,沈艳军,涂正文.基于观测器的一类Lipschitz非线性系统鲁棒控制器的设计[J].三峡大学学报(自然科学版),2010,32(5):82-85. |
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| 作者姓名： | 王康 沈艳军 涂正文 |
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| 作者单位： | 三峡大学理学院,湖北宜昌443002 |
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| 基金项目： | 国家自然科学基金项目，湖北省杰出青年团队项目，湖北省教育厅重点项目，三峡大学研究生创新基金项目 |
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| 摘 要： | 讨论了一类Lipschitz非线性系统基于观测器的鲁棒镇定问题,所考虑的系统具有非线性时变扰动项,设计了状态观测器与状态反馈控制器使得其能够镇定一类Lipschitz非线性系统.利用Lyapunov稳定性理论和线性矩阵不等式(LMIs)方法,给出了该系统基于观测器的鲁棒镇定的充分条件,并通过求解LMIs构造了系统鲁棒稳定的基于观测状态反馈的控制器,所得结果减少了控制器设计的盲目性.最后,通过仿真实验证明了该方法的可行性.
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| 关 键 词： | Lipschitz非线性系统 鲁棒控制器 观测器 LMIs |
Design of Observer-based Robust Controller for a Class of Lipschitz Nonlinear Systems |
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| Wang Kang,Shen Yanjun,Tu Zhengwen.Design of Observer-based Robust Controller for a Class of Lipschitz Nonlinear Systems[J].Journal of China Three Gorges University(Natural Sciences),2010,32(5):82-85. |
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| Authors: | Wang Kang Shen Yanjun Tu Zhengwen |
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| Institution: | (College of Science,China Three Gorges Univ.,Yichang,443002,China) |
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| Abstract: | The problem of observer-based robust stabilization for a class of Lipschitz nonlinear systems was studied.The purpose is to design a state observer and state feedback controller such that the closedloop system is asymptotically stable.By virtue of Lyapunov stability theory and LMIs,a sufficent condition for solving this problem is given;and the state feedback controller and observer is obtained by LMIs;and the research results reduce blindness in the controller design.Finally,a numerical example is given to illustrate our results. |
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| Keywords: | Lipschitz nonlinear systems robust controller observer LMIs |
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