FDI of disturbed nonlinear systems: A nonlinear UIO approach with SOS techniques

Jun Xu, K. Lum, Lihua Xie, A. Loh
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Abstract

This paper presents a novel unknown input observer (UIO) design method for fault detection and isolation (FDI) of a class of nonlinear affine systems with disturbance. By using Lie geometry and sum-of-squares (SOS) theory as the main tools, a simple and systematic design procedure is proposed. Compared with the traditional UIO design, the rank constraint is much relaxed. Meanwhile, we show that the threshold can be easily obtained from a L2 gain result using a SOS formulation.
扰动非线性系统的FDI:基于SOS技术的非线性UIO方法
针对一类具有扰动的非线性仿射系统的故障检测与隔离问题,提出了一种新的未知输入观测器设计方法。以李氏几何和平方和理论为主要工具,提出了一种简单系统的设计方法。与传统的UIO设计相比,秩约束大大放宽。同时,我们证明了使用SOS公式可以很容易地从L2增益结果中获得阈值。
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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