<abstract xmlns="http://www.w3.org/1999/xhtml"><p>In this paper, the robust fault detection problem for LPV singular delayed systems in the presence of disturbances and actuator faults is considered. For both disturbance decoupling and actuator fault detection, an unknown input observer (UIO) is proposed. The aim is to compute a residual signal which has minimum sensitivity to disturbances while having maximum sensitivity to faults. Robustness to unknown inputs is formulated in the sense of the ℋ<sub>∞</sub>-norm by means of the bounded real lemma (BRL) for LPV delayed systems. In order to formulate fault sensitivity conditions, a reference model which characterizes the ideal residual behavior in a faulty situation is considered. The residual error with respect to this reference model is computed. Then, the maximization of the residual fault effect is converted to minimization of its effect on the residual error and is addressed by using the BRL. The compromise between the unknown input effect and the fault effect on the residual is translated into a multi-objective optimization problem with some LMI constraints. In order to show the efficiency and applicability of the proposed method, a part of the Barcelona sewer system is considered.</p></abstract>

In this paper, the robust fault detection problem for LPV singular delayed systems in the presence of disturbances and actuator faults is considered. For both disturbance decoupling and actuator fault detection, an unknown input observer (UIO) is proposed. The aim is to compute a residual signal which has minimum sensitivity to disturbances while having maximum sensitivity to faults. Robustness to unknown inputs is formulated in the sense of the ℋ∞-norm by means of the bounded real lemma (BRL) for LPV delayed systems. In order to formulate fault sensitivity conditions, a reference model which characterizes the ideal residual behavior in a faulty situation is considered. The residual error with respect to this reference model is computed. Then, the maximization of the residual fault effect is converted to minimization of its effect on the residual error and is addressed by using the BRL. The compromise between the unknown input effect and the fault effect on the residual is translated into a multi-objective optimization problem with some LMI constraints. In order to show the efficiency and applicability of the proposed method, a part of the Barcelona sewer system is considered.

Robust fault detection of singular LPV systems with multiple time–varying delays

Department of Electrical Engineering, Amirkabir University of Technology (Tehran Polytechnic), 424, Hafez Av., Tehran, Iran

System, Information and Control Research Center, Amirkabir University of Technology (Tehran Polytechnic), 424, Hafez Ave., Tehran, Iran

Advanced Control Systems Group (SAC), Universitat Politècnica de Catalunya (UPC), Pau Gargallo, 5, 08028 Barcelona, Spain

International Journal of Applied Mathematics and Computer Science

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

In this paper, the robust fault detection problem for LPV singular delayed systems in the presence of disturbances and actuator faults is considered. For both...

Robust fault detection of singular LPV systems with multiple time–varying delays

Published Online: Mar 31, 2016

Page range: 45 - 61

Received: Nov 02, 2014

DOI: https://doi.org/10.1515/amcs-2016-0004

Keywords
singular delayed LPV systems, fault detection, unknown input observer (UIO), robustness, fault sensitivity

© 2016 Amir Hossein Hassanabadi et al., published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Robust fault detection of singular LPV systems with multiple time–varying delays

Published Online: Mar 31, 2016

Page range: 45 - 61

Received: Nov 02, 2014

DOI: https://doi.org/10.1515/amcs-2016-0004

Keywordssingular delayed LPV systems, fault detection, unknown input observer (UIO), robustness, fault sensitivity

© 2016 Amir Hossein Hassanabadi et al., published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
singular delayed LPV systems, fault detection, unknown input observer (UIO), robustness, fault sensitivity