State estimation for a class of nonlinear systems

B. Schwaller, D. Ensminger, Birgitta Dresp, J. Ragot
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引用次数: 4

Abstract

We propose a new type of Proportional Integral (PI) state observer for a class of nonlinear systems in continuous time which ensures an asymptotic stable convergence of the state estimates. Approximations of nonlinearity are not necessary to obtain such results, but the functions must be, at least locally, of the Lipschitz type. The obtained state variables are exact and robust against noise. Naslin’s damping criterion permits synthesizing gains in an algebraically simple and efficient way. Both the speed and damping of the observer response are controlled in this way. Model simulations based on a Sprott strange attractor are discussed as an example.
一类非线性系统的状态估计
针对一类连续时间非线性系统,提出了一种新的比例积分(PI)状态观测器,保证了系统状态估计的渐近稳定收敛。得到这样的结果不需要非线性近似,但函数必须至少在局部是Lipschitz型的。所得到的状态变量对噪声具有精确和鲁棒性。纳斯林的阻尼准则允许以一种代数上简单而有效的方式综合增益。以这种方式控制观测器响应的速度和阻尼。以斯普洛特奇异吸引子为例进行了模型仿真。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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