Boem, F;
Alessandri, A;
Parisini, T;
(2019)
Model-Based Fault Detection and Estimation for Linear Time Invariant and Piecewise Affine Systems by Using Quadratic Boundedness.
In:
2018 IEEE Conference on Decision and Control (CDC).
(pp. pp. 5562-5567).
IEEE
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Abstract
Quadratic boundedness is a notion of stability that is adopted to investigate the design of observers for dynamic systems subject to bounded disturbances. We will show how to exploit such observers for the purpose of fault detection. Toward this end, first of all we present the naive application of quadratic boundedness to construct state observers for linear time-invariant systems with state augmentation, i.e., where additional variables may be introduced to account for the occurrence of a fault. Then a Luenberger observer is designed to estimate the augmented state variable of the system in such a way to detect the fault by using a convenient threshold selection. Finally, such an approach is extended to piecewise affine systems by presenting a hybrid Luenberger observer and its related design based on quadratic boundedness. The design of all the observers for both linear time-invariant and piecewise affine systems can be done by using linear matrix inequalities. Simulation results are provided to show the effectiveness of the proposed approaches.
| Type: | Proceedings paper |
|---|---|
| Title: | Model-Based Fault Detection and Estimation for Linear Time Invariant and Piecewise Affine Systems by Using Quadratic Boundedness |
| Event: | 57th IEEE Conference on Decision and Control, 17-19 December 2018, Miami Beach, FL, USA |
| ISBN-13: | 978-1-5386-1395-5 |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1109/CDC.2018.8619344 |
| Publisher version: | https://doi.org/10.1109/CDC.2018.8619344 |
| Language: | English |
| Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Electronic and Electrical Eng |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10060825 |
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