Title: Robust fault reconstruction based on sliding mode observer for a class of uncertain time-varying delay systems: a rocket motor system application

Authors: Iskander Boulaabi; Anis Sellami; Fayçal Ben Hmida

Addresses: Electrical Engineering Department, Research Unit C3S, 5 Taha Hussein St., BP 56, Tunis 1008, Tunisia ' Electrical Engineering Department, Research Unit C3S, 5 Taha Hussein St., BP 56, Tunis 1008, Tunisia ' Electrical Engineering Department, Research Unit C3S, 5 Taha Hussein St., BP 56, Tunis 1008, Tunisia

Abstract: In this paper, we present an extended sliding mode observer (SMO) design method for robust actuator fault reconstruction for a class of linear uncertain delayed systems. The uncertainty considered is matched and bounded. In meantime, the time-varying delay is unknown, bounded and affects simultaneously the input and the state of the system. Using the H1 concept and applying the equivalent output error injection idea from previous works in fault detection and isolation (FDI) scheme, the estimate actuator fault signal is designed with the proposed observer by minimising the uncertainty and the time-varying delay effects. Therefore, this problem is solved via a bounded real lemma (BRL) and the linear matrix inequalities (LMIs) optimisation. A rocket motor system is included to illustrate the efficiency of the proposed method. Even, in the presence of the uncertainty and the time-varying delay, the results of the simulation demonstrate that the proposed schemes can successfully estimate the system states and reconstruct the unknown actuator fault.

Keywords: fault reconstruction; uncertain time-delay systems; sliding mode observer; SMO; rocket motors; linear matrix inequalities; LMIs; bounded real lemma; BRL; actuator faults; simulation.

DOI: 10.1504/IJAAC.2017.080816

International Journal of Automation and Control, 2017 Vol.11 No.1, pp.1 - 14

Received: 06 Jan 2016
Accepted: 29 Feb 2016
Published online: 08 Dec 2016 *

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