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Adaptive Fuzzy Observer-Based Fault Estimation for a Class of Nonlinear Stochastic Hybrid Systems

Shasha Fu, Jianbin Qiu, Liheng Chen, Mohammed Chadli

2020IEEE Transactions on Fuzzy Systems37 citationsDOI

Abstract

This article studies the fault estimation problem for a class of continuous-time nonlinear Markovian jump systems with unmeasured states, unknown bounded sensor faults, and unknown nonlinearities simultaneously. In this article, a new adaptive fuzzy observer design scheme is developed, where the completely unknown nonlinear terms are approximated by adaptive fuzzy logic systems. By means of a novel online adaptive mechanism, the asymptotic stability of the error dynamic system is guaranteed despite of sensor faults and unknown nonlinear terms. Moreover, the sliding surface switching problem in the traditional sliding mode observer techniques can be avoided for Markovian jump systems. Finally, two practical examples are given to demonstrate the effectiveness of the proposed approach.

Topics & Concepts

Control theory (sociology)Nonlinear systemObserver (physics)Fuzzy logicFault detection and isolationFuzzy control systemAdaptive systemMathematicsExponential stabilityComputer scienceBounded functionArtificial intelligencePhysicsControl (management)Mathematical analysisQuantum mechanicsAdaptive Control of Nonlinear SystemsStability and Control of Uncertain SystemsFuzzy Logic and Control Systems