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

Author:

Saoudi D.1,Chadli M.2,Mechmeche C.1,Benhadj Braiek N.1

Affiliation:

1. Laboratoire des Systèmes Avancés (LSA), Polytechnic High School of Tunisia (EPT), University of Carthage, 2078 La Marsa, Tunisia

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

Abstract

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.

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

Cited by 11 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. An Improved Unknown Input Observer Design for Disrete-Time Fuzzy Bilinear Systems;IFAC-PapersOnLine;2023

2. Robust Observer synthesis for Bilinear Parameter Varying system;2022 IEEE 61st Conference on Decision and Control (CDC);2022-12-06

3. An Improved Unknown Input Observer Design for Fuzzy Bilinear Systems;2022 13th Asian Control Conference (ASCC);2022-05-04

4. Decentralized observer-based optimal control using two-point boundary value successive approximation approach application for a multimachine power system;Transactions of the Institute of Measurement and Control;2020-01-10

5. Unknown Input Observer for Discrete-Time Fuzzy Bilinear Systems;2019 IEEE International Conference on Cybernetics and Intelligent Systems (CIS) and IEEE Conference on Robotics, Automation and Mechatronics (RAM);2019-11

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