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基于LMI的Lipschitz非线性不确定系统的鲁棒控制
引用本文:巩长忠,罗剑波.基于LMI的Lipschitz非线性不确定系统的鲁棒控制[J].中国民航学院学报,2011(6):61-64.
作者姓名:巩长忠  罗剑波
作者单位:中国民航大学理学院,天津300300
基金项目:中国民航大学科研启动基金(05qd03x)
摘    要:在常态Lipschitz非线性的基础上,考虑状态参数不确定性。针对这类Lipschitz非线性系统的反馈控制问题,运用Lyapunov方法给出了该系统渐近稳定的充分条件,并提出了应用线性矩阵不等式(LMI)来求解优化反馈增益矩阵,通过定理和Matlab仿真实例得出设计的观测器有效,具有良好的稳定性和鲁棒性。

关 键 词:Lipschitz  非线性系统  鲁棒性  观测器  线性矩阵不等式

Robust feedback control by LMI for lipschitz nonlinear unknown systems
GONG Chang-zhong,LUO Jian-bo.Robust feedback control by LMI for lipschitz nonlinear unknown systems[J].Journal of Civil Aviation University of China,2011(6):61-64.
Authors:GONG Chang-zhong  LUO Jian-bo
Institution:(College of Science,CAUC,Tianjin 300300,China)
Abstract:This paper consider with uncertain state parameter base on normal Lipschitz nonlinear systems.The robust feedback control problem to this class of Lipschitz nonlinear systems exert method of Lyapunov,and proposed approximately steady sufficient condition.Combined with the theory of LMI to solve the optimum feedback plus matrix.The presented theory and Matlab instance had got main result which this class of Lipschitz nonlinear unknown systems have well stability.
Keywords:Lipschitz  nonlinear systems  robust  observer  LMI
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