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Unknown Input Observer Design for Fuzzy Bilinear System: An LMI Approach

机译:模糊双线性系统的未知输入观测器设计:LMI方法

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摘要

A new method to design a fuzzy bilinear observer (FBO) with unknown inputs is developed for a class of nonlinear systems. The nonlinear system is modeled as a fuzzy bilinear model (FBM). This kind of T-S fuzzy model is especially suitable for a nonlinear system with a bilinear term. The proposed fuzzy bilinear observer subject to unknown inputs is developed to ensure the asymptotic convergence of the error dynamic using the Lyapunov method. The proposed design conditions are given in linear matrix inequality (LMI) formulation. The paper studies also the problem of fault detection and isolation. An unknown input fuzzy bilinear fault diagnosis observer design is proposed. This work is given for both continuous and discrete cases of fuzzy bilinear models. Illustrative examples are chosen to provide the effectiveness of the given methodology.
机译:针对一类非线性系统,开发了一种设计具有未知输入的模糊双线性观测器(FBO)的新方法。非线性系统被建模为模糊双线性模型(FBM)。这种T-S模糊模型尤其适用于具有双线性项的非线性系统。提出了一种在输入未知的情况下提出的模糊双线性观测器,以使用Lyapunov方法确保误差动态的渐近收敛。线性矩阵不等式(LMI)公式给出了拟议的设计条件。本文还研究了故障检测和隔离的问题。提出了一种未知输入模糊双线性故障诊断观测器设计。这项工作针对模糊双线性模型的连续和离散情况。选择说明性示例以提供给定方法的有效性。

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  • 来源
    《Mathematical Problems in Engineering》 |2012年第11期|794581.1-794581.21|共21页
  • 作者单位

    Laboratoire des Systemes Avances (LSA), Polytechnic High School of Tunisia (EPT), University of Carthage, 2078 La Marsa, Tunisia;

    University of Picardie-Jules Verne, MIS 33, rue Saint-Leu,- 80039 Amiens, France;

    Laboratoire des Systemes Avances (LSA), Polytechnic High School of Tunisia (EPT), University of Carthage, 2078 La Marsa, Tunisia;

    Laboratoire des Systemes Avances (LSA), Polytechnic High School of Tunisia (EPT), University of Carthage, 2078 La Marsa, Tunisia;

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