Nonlinear Luenberger observer design via invariant manifold computation
Nonlinear Luenberger observer design via invariant manifold computation
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DOI：
10.3182/20140824-6-za-1003.01103
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发表时间：
2014
期刊：
影响因子：
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通讯作者：
N. Sakamoto;B. Rehák;Kouji Ueno
中科院分区：
文献类型：
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作者：
N. Sakamoto;B. Rehák;Kouji Ueno
提出了一个将Luenberger观测器扩展到非线性系统的框架。不变流形理论在该框架中起着核心作用。研究表明，用于观测器设计的不变流形通常是非标准流形，这使得它们的计算具有挑战性。该理论成功地消除了以往非线性Luenberger观测器研究中对被观察系统施加的条件。数值算例表明，与线性观测器相比，所提出的设计方法产生了更有效的观测器。
Abstract A framework to extend Luenberger observer to nonlinear systems is proposed. The theory of invariant manifolds plays a central role in the framework. It is shown that the invariant manifolds for observer design are often non-standard ones and this makes their computations challenging. The proposed theory successfully removes the condition imposed on the system to be observed in the previous research in nonlinear Luenberger observer. Numerical examples show that the design methods proposed produce more effective observers compared with linear observers.