<abstract xmlns="http://www.w3.org/1999/xhtml"><p> 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.</p></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.

Fault Diagnosis in Nonlinear Hybrid Systems

International Journal of Applied Mathematics and Computer Science

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"Fault Diagnosis in Nonlinear Hybrid Systems"}

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...

Fault Diagnosis in Nonlinear Hybrid Systems

Published Online: Jan 11, 2019

Page range: 635 - 648

Received: May 07, 2018

Accepted: Sep 10, 2018

DOI: https://doi.org/10.2478/amcs-2018-0049

Keywords
hybrid systems, finite automata, mode activator, fault diagnosis, nonparametric method

© 2019 Alexey Zhirabok, Alexey Shumsky, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Fault Diagnosis in Nonlinear Hybrid Systems

Published Online: Jan 11, 2019

Page range: 635 - 648

Received: May 07, 2018

Accepted: Sep 10, 2018

DOI: https://doi.org/10.2478/amcs-2018-0049

Keywordshybrid systems, finite automata, mode activator, fault diagnosis, nonparametric method

© 2019 Alexey Zhirabok, Alexey Shumsky, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
hybrid systems, finite automata, mode activator, fault diagnosis, nonparametric method