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非线性系统自适应观测器设计研究

Adaptive-Observer Design and Research for Nonlinear System

【作者】 高波

【导师】 徐明跃;

【作者基本信息】 哈尔滨师范大学 , 概率论与数理统计, 2011, 硕士

【摘要】 近年来,非线性观测器设计问题已经成为众多学者关注的研究课题之一,并取得了丰硕的成果.但大多是针对Lipschitz非线性系统状态观测器进行研究的.研究表明,在许多情况下用已有判据来设计Lipschitz非线性系统观测器是无法达到渐进稳定的.本文针对几类不同的非线性系统分别研究了全维,降维及输出带有非线性项的自适应观测器的设计.主要研究结果如下:·在自适应观测器参数上界已知的情况下,用拟单边Lipschitz条件代替通常的Lipschitz条件研究了一类非线性系统全维,降维自适应观测器的设计.·对已有系统进行改进,使输出带有非线性项并设计其观测器.·在自适应观测器参数上界未知的情况下,设计自适应调节器来估计未知参数范数.并用拟单边Lipschitz条件代替通常的Lipschitz条件研究非线性系统的全维,降维自适应观测器设计.

【Abstract】 Recently, the non-linear observer design question is one of the research issue paid much attention by many scholars. That researches are made successful and most of them are aimed at Lipschitz non-linear-system state design. Studies have shown that in many cases the existing methods used to design Lipschitz nonlinear systems observer asymptotic stability can not be achieved.In this paper, different types of nonlinear systems are the-full-order, reduced-order and output whit a nonlinear item adaptive design. Major findings are as follow:In the situation of know the upper bound of adaptive observer parameters, use quasi-one-sided Lipschitz condition replace the usual condition, research for a class of Lipschitz nonlinear systems with full-order, reduced-order adaptive observe design.Improvement of existing systems, so that the output with a nonlinear term and to design the observer.Adaptive observer parameters in the upper bound of the unknown cases, adap-tive regulator design to estimate the unknown parameters of the norm. Quasi-one-sided Lipschitz condition to be replaced with the usual conditions of Lipschitz nonlinear systems with the-full-order, reduced-order is only observed adaptation design.

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