Fault Diagnosis in Nonlinear Hybrid Systems

Author:

Zhirabok Alexey12,Shumsky Alexey3

Affiliation:

1. Department of Automation and Control, Far Eastern Federal University, 8 Sukhanova St., Vladivostok , 690990, Russia

2. Department of Robotic Systems, Institute of Marine Technology Problems, 5 Sukhanova St., Vladivostok , 690990, Russia

3. Department of Management, Far Eastern Federal University, 8 Sukhanova St., Vladivostok , 690990, Russia

Abstract

Abstract The problem of fault diagnosis in hybrid systems is investigated. It is assumed that the hybrid systems under consideration consist of a finite automaton, a set of nonlinear difference equations and the so-called mode activator that coordinates the action of the other two parts. To solve the fault diagnosis problem, hybrid residual generators based on both diagnostic observers and parity relations are used. It is shown that the hybrid nature of the system imposes some restrictions on the possibility of creating such generators. Sufficient solvability conditions of the fault diagnosis problem are found. Examples illustrate details of the solution.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

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1. Fault diagnosis for a class of nonlinear uncertain hybrid systems;Nonlinear Analysis: Hybrid Systems;2022-05

2. Testability Distributed Real-Time Computing System;2021 5th International Conference on Control and Fault-Tolerant Systems (SysTol);2021-09-29

3. A Neural-Fuzzy Approach for Fault Diagnosis of Hybrid Dynamical Systems: Demonstration on Three-Tank System;Acta Mechanica et Automatica;2021-03-01

4. Fault identification in nonlinear hybrid systems;Nonlinear Analysis: Hybrid Systems;2021-02

5. A fault detection method based on stacking the SAE-SRBM for nonstationary and stationary hybrid processes;International Journal of Applied Mathematics and Computer Science;2021

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