<abstract xmlns="http://www.w3.org/1999/xhtml"> This paper proposes an H_/H∞ fault detection observer method by using generalized output for a class of polytopic linear parameter-varying (LPV) systems. As the main contribution, with the aid of the relative degree of output, a new output vector is generated by gathering the original output and its time derivative, and it is feasible to consider H_ actuator fault sensitivity in the entire frequency for the new system. In order to improve actuator and sensor fault sensitivity as well as guarantee robustness against disturbances, simultaneously, an H_/H∞ fault detection observer is designed for the new LPV polytopic system. Besides, the design conditions of the proposed observer are transformed into an optimization problem by solving a set of linear matrix inequalities (LMIs). Numerical simulations are provided to illustrate the effectiveness of the proposed method.</abstract>

This paper proposes an H_/H∞ fault detection observer method by using generalized output for a class of polytopic linear parameter-varying (LPV) systems. As the main contribution, with the aid of the relative degree of output, a new output vector is generated by gathering the original output and its time derivative, and it is feasible to consider H_ actuator fault sensitivity in the entire frequency for the new system. In order to improve actuator and sensor fault sensitivity as well as guarantee robustness against disturbances, simultaneously, an H_/H∞ fault detection observer is designed for the new LPV polytopic system. Besides, the design conditions of the proposed observer are transformed into an optimization problem by solving a set of linear matrix inequalities (LMIs). Numerical simulations are provided to illustrate the effectiveness of the proposed method.

H_/H∞ fault detection observer design for a polytopic LPV system using the relative degree

International Journal of Applied Mathematics and Computer Science

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

H_/H fault detection observer design for a polytopic LPV system using the relative degree

This paper proposes an H_/H∞ fault detection observer method by using generalized output for a class of polytopic linear parameter-varying (LPV) systems. As...

H_/H_∞ fault detection observer design for a polytopic LPV system using the relative degree

Published Online: Mar 31, 2018

Page range: 83 - 95

Received: Jan 05, 2017

Accepted: Oct 23, 2017

DOI: https://doi.org/10.2478/amcs-2018-0006

Keywords
H_/H∞ fault detection observer, polytopic LPV system, relative degree of output, actuator fault detection, sensor fault detection

© by Didier Theilliol

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

H_/H∞ fault detection observer design for a polytopic LPV system using the relative degree

Published Online: Mar 31, 2018

Page range: 83 - 95

Received: Jan 05, 2017

Accepted: Oct 23, 2017

DOI: https://doi.org/10.2478/amcs-2018-0006

KeywordsH_/H∞ fault detection observer, polytopic LPV system, relative degree of output, actuator fault detection, sensor fault detection

© by Didier Theilliol

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

H_/H_∞ fault detection observer design for a polytopic LPV system using the relative degree

Keywords
H_/H∞ fault detection observer, polytopic LPV system, relative degree of output, actuator fault detection, sensor fault detection