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An observer design for uniformly observable non-linear systems

机译:一致可观测非线性系统的观测器设计

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摘要

In this paper, we give a new observer design methodology for single-output uniformly observable systems. In fact, the proposed observer is an improvement of the high gain observer given by Gauthier et al. (1992). The improvement lies basically in the fact that part of the non-linearity of the system is incorporated in the observer design strategy. Consequently, unlike the observer given in Gauthier et al. (1992), the gain of the improved observer is function of the state estimate. A comparison of the proposed observer to that given by Gauthier et al (1992), is made via a simulation example dealing with a flexible joint mechanism and it is shown that the improved observer is more robust with regard to measurement noise and present less transient oscillations. An extension of the design strategy is also presented for a more general class of non-linear systems.
机译:在本文中,我们为单输出一致可观测系统提供了一种新的观测器设计方法。实际上,提出的观测器是Gauthier等人给出的高增益观测器的改进。 (1992)。改进主要在于以下事实:系统的部分非线性被纳入观察者设计策略中。因此,与Gauthier等人给出的观察者不同。 (1992),改进的观察者的收益是状态估计的函数。拟议的观测器与Gauthier等人(1992)给出的观测器进行了比较,这是通过一个涉及挠性接头机制的仿真示例进行的,结果表明,改进的观测器在测量噪声方面更鲁棒,并且瞬态振荡更少。还为更通用的非线性系统类别提供了设计策略的扩展。

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