Observer design for Lipschitz nonlinear systems using Riccati equations
Observer design for Lipschitz nonlinear systems using Riccati equations
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DOI：
10.1109/acc.2010.5531294
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发表时间：
2010-07
期刊：
影响因子：
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通讯作者：
G. Phanomchoeng;R. Rajamani
中科院分区：
文献类型：
--
作者：
G. Phanomchoeng;R. Rajamani
本文提出一种新的Lipschitz非线性系统观测器设计方法。利用S-过程引理给出了稳定观测器增益存在的充分必要条件。所开发的条件表示在一个变量的代数Riccati方程的解的存在性。因此，消除了求解多变量线性矩阵不等式的需要。所开发的方法的优点是，它是显着的保守性比其他先前发表的结果Lipschitz系统。它产生了一个稳定的观察员较大的Lipschitz常数比以前发表在文献中的其他技术。
This paper presents a new observer design technique for Lipschitz nonlinear systems. Necessary and sufficient conditions for existence of a stable observer gain are developed using a S-Procedure Lemma. The developed condition is expressed in terms of the existence of a solution to an Algebraic Riccati Equation in one variable. Thus, the need to solve Linear Matrix Inequalities in multiple variables is eliminated. The advantage of the developed approach is that it is significantly less conservative than other previously published results for Lipschitz systems. It yields a stable observer for larger Lipschitz constants than other techniques previously published in literature.