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Paper details
Number 3 - September 2015
Volume 25 - 2015
An H∞ sliding mode observer for Takagi–Sugeno nonlinear systems with simultaneous actuator and sensor faults
Ali Ben Brahim, Slim Dhahri, Fayçal Ben Hmida, Anis Sellami
Abstract
This paper considers the problem of robust reconstruction of simultaneous actuator and sensor faults for a class of uncertain
Takagi–Sugeno nonlinear systems with unmeasurable premise variables. The proposed fault reconstruction and estimation
design method with H∞ performance is used to reconstruct both actuator and sensor faults when the latter are transformed into pseudo-actuator faults by introducing a simple filter. The main contribution is to develop a sliding mode observer (SMO) with two discontinuous terms to solve the problem of simultaneous faults. Sufficient stability conditions in terms linear matrix inequalities are achieved to guarantee the stability of the state estimation error. The observer gains are obtained by solving a convex multiobjective optimization problem. Simulation examples are given to illustrate the performance of the proposed observer.
Keywords
fault reconstruction and estimation, simultaneous faults, H∞ sliding mode observer, uncertain Takagi–Sugeno systems, LMI optimization