Title: Simultaneous actuator and sensor faults estimation design for LPV systems using adaptive sliding mode observers

Authors: Ali Ben Brahim; Slim Dhahri; Fayçal Ben Hmida; Anis Sellami

Addresses: Laboratory of Engineering of Industrial Systems and Renewable Energy, University of Tunis, 5 Street Taha Hussein, B.P. 56-1008 Tunis, Tunisia ' Laboratory of Engineering of Industrial Systems and Renewable Energy, University of Tunis, 5 Street Taha Hussein, B.P. 56-1008 Tunis, Tunisia ' Laboratory of Engineering of Industrial Systems and Renewable Energy, University of Tunis, 5 Street Taha Hussein, B.P. 56-1008 Tunis, Tunisia ' Laboratory of Engineering of Industrial Systems and Renewable Energy, University of Tunis, 5 Street Taha Hussein, B.P. 56-1008 Tunis, Tunisia

Abstract: This paper considers the problem of simultaneous actuator and sensor faults estimation for linear parameter varying system expressed in the polytopic representation based on robust adaptive sliding mode observer technique. We start by constructing two polytopic sub-systems using transformed coordinate system design. The first sub-system includes only actuator faults. Hence, the second one is potentially faulty sensor and it is free from actuator faults. Assuming that sensor faults distribution matrix verifies the observer matching condition, we propose to conceive two adaptive sliding mode observers for estimating system states, as well as actuator and sensor faults in the presence of external disturbances. Anyway, in practise, the so-called observer matching condition is usually hard to satisfy due to the complexity and unpredictability of the system faults. Subject to relaxing this conservative condition, a new simultaneous fault estimation scheme is investigated by introducing an adaptive sliding mode observer with intermediate variable in order to estimate sensor faults. In formalism of linear matrix inequalities optimisation methods, sufficient conditions are developed with H_∞ optimal performances to guarantee the stability of the proposed observers. Finally, simulation results on VTOL aircraft defence system are highlighted to illustrate the effectiveness of the proposed simultaneous fault estimation.

Keywords: fault estimation; linear parameter varying systems; adaptive sliding mode observer; H_∞ design; observer matching condition.

DOI: 10.1504/IJAAC.2021.111746

International Journal of Automation and Control, 2021 Vol.15 No.1, pp.1 - 27

Received: 14 Mar 2018
Accepted: 12 Feb 2019
Published online: 14 Dec 2020 *

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