Fault-tolerant control design for uncertain Takagi–Sugeno systems by trajectory tracking: a descriptor approach

2013 ◽  
Vol 7 (14) ◽  
pp. 1793-1805 ◽  
Author(s):  
Tahar Bouarar ◽  
Didier Maquin ◽  
Benoit Marx ◽  
José Ragot
2012 ◽  
Vol 45 (20) ◽  
pp. 186-191 ◽  
Author(s):  
Balázs Németh ◽  
Péter Gáspár ◽  
Jázsef Bokor ◽  
Olivier Sename ◽  
Luc Dugard

Author(s):  
Ali Ben Brahim ◽  
Slim Dhahri ◽  
Fayçal Ben Hmida ◽  
Anis Sellami

The present article deals with adaptive sliding mode fault tolerant control design for uncertain nonlinear systems, affected by multiplicative faults, that is described under Takagi–Sugeno fuzzy representation. First, we propose to conceive robust adaptive observer in order to achieve states and multiplicative faults estimation in the presence of nonlinear system uncertainties. Under the nonlinear Lipschitz condition, the observer gains are attained by solving the multi-objective optimization problem. Second, sliding mode controller is suggested to offer a solution of the closed-loop system stability even the occurrence of real fault effects. The main objective is to compensate multiplicative fault effects based on output feedback information. Sufficient conditions are developed with [Formula: see text] performances and expressed as a set of linear matrix inequalities subject to compute controller gains. Finally, simulation results, using the nonlinear model of a single-link flexible joint robot system, are given to illustrate the capability of the suggested fault tolerant control strategy to treat multiplicative faults.


2011 ◽  
Vol 59 (1) ◽  
pp. 93-102 ◽  
Author(s):  
Ł. Dziekan ◽  
M. Witczak ◽  
J. Korbicz

Active fault-tolerant control design for Takagi-Sugeno fuzzy systemsIn this paper, a virtual actuator-based active fault-tolerant control strategy is presented. After a short introduction to Takagi-Sugeno fuzzy systems, it is shown how to design a fault-tolerant control strategy for this particular class of non-linear systems. The key contribution of the proposed approach is an integrated fault-tolerant control design procedure of fault identification and control within an integrated fault-tolerant control scheme. In particular, fault identification is implemented with the suitable state observer. While, the controller is implemented in such a way that the state of the (possibly faulty) system tracks the state of a fault-free reference model. Consequently, the fault-tolerant control stabilizes the possibly faulty system taking into account the input constraints and some control objective function. Finally, the last part of the paper shows a comprehensive case study regarding the application of the proposed strategy to fault-tolerant control of a twin-rotor system.


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