Title: Observer design and active fault tolerant control for Takagi-Sugeno systems affected by sensors faults

Authors: Wafa Jamel; Atef Khedher; Kamel Ben Othman

Addresses: Department of Electrical Engineering LARATSI, National Engineering School of Monastir, Rue Ibn El Jazzar, 5019 Monastir, Tunisia; LARA Automatique, National Engineering School of Tunis, BP 37, le Belvédère, 1002 Tunis, Tunisia ' Department of Electrical Engineering LARATSI, National Engineering School of Monastir, Rue Ibn El Jazzar, 5019 Monastir, Tunisia; LARA Automatique, National Engineering School of Tunis, BP 37, le Belvédère, 1002 Tunis, Tunisia ' Department of Electrical Engineering LARATSI, National Engineering School of Monastir, Rue Ibn El Jazzar, 5019 Monastir, Tunisia; LARA Automatique, National Engineering School of Tunis, BP 37, le Belvédère, 1002 Tunis, Tunisia

Abstract: This paper deals with the problem of active fault tolerant control strategy for nonlinear systems described by Takagi-Sugeno models. The proposed control law uses the estimated fault. The considered systems are affected by sensor faults. A mathematical transformation is used in order to conceive an augmented system in which the sensor faults affecting the initial system appear as unknown inputs. A proportional integral observer with unknown inputs is conceived in order to estimate simultaneously states and sensor faults. The stability of the system with the proposed fault tolerant control strategy is formulated using Lyapunov theory and the observer gains are obtained by solving linear matrices inequalities. To illustrate the proposed method, it is applied to the three columns.

Keywords: Takagi-Sugeno model; proportional integral observer; unknown inputs; sensor faults; active control; fault tolerant control; observer design; fault tolerance; nonlinear systems; Lyapunov stability theory; observer gains; linear matrices inequalities; LMIs.

DOI: 10.1504/IJMIC.2017.082491

International Journal of Modelling, Identification and Control, 2017 Vol.27 No.1, pp.22 - 30

Received: 20 May 2015
Accepted: 06 Oct 2015
Published online: 27 Feb 2017 *

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