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Jamel W.,University of Monastir | Bouguila N.,University of Monastir | Khedher A.,LARA ENIT | Othman K.B.,LARA ENIT
WSEAS Transactions on Systems | Year: 2010

In this paper, the problem of synthesis of a multiple observer for a class of uncertain nonlinear system represented by a Takagi-Sugeno multiple model is studied. The measure's uncertainties are considered as unknown outputs. To conceive the observer a mathematical transformation is considered to conceive an augmented system in which the unknown output appear as an unknown input. Convergence conditions are established in order to guarantee the convergence of the state estimation error. These conditions are expressed in Linear Matrix Inequality (LMI) formulation. An example of simulation is given to illustrate the proposed method. Source


Bouguila N.,University of Monastir | Jamel W.,University of Monastir | Khedher A.,LARA ENIT | Othman K.B.,LARA ENIT
WSEAS Transactions on Systems | Year: 2013

In this paper we focus on the state estimation of a nonlinear system described by a Takagi-Sugeno multiple model submitted to unknown inputs and outputs. The proposed approach consists on a mathematical transformation which enables to consider the unknown outputs as unknown inputs that can be eliminated by a designed multiple observer. To evaluate the efficiency of the proposed approach, the convergence conditions of the state estimation error are formulated as linear matrix inequalities (LMI). Simulation Examples are given to illustrate the proposed methods. Source


Jamel W.,University of Monastir | Bouguila N.,University of Monastir | Khedher A.,LARA ENIT | Othman K.B.,LARA ENIT
6th WSEAS International Conference on Dynamical Systems and Control, CONTROL '10 | Year: 2010

This paper deals with the synthesis of a multiple observer for a class of uncertain nonlinear system represented by a Takagi-Sugeno multiple model. Convergence conditions are established in order to guarantee the convergence of the state estimation error. These conditions are expressed in Linear Matrix Inequality (LMI) formulation. An example of simulation is given to illustrate the proposed method. Source


Khedher A.,LARA ENIT | Othman K.B.,LARA ENIT | Maquin D.,Nancy Research Center for Automatic Control | Benrejeb M.,LARA ENIT
WSEAS Transactions on Systems | Year: 2010

This paper presents a method of design of a sensor faults tolerant control. The method is presented for the case of linear systems and then for the case of non linear systems described by Takagi-Sugeno models. The faults are initially estimated using a proportional integral observer. A mathematical transformation is used to conceive an augmented system in which the sensor fault appear as an unknown inputs. The synthesized control depends on the estimated faults and the error between the state of a reference reference and the faulty system state. The fault tolearnt control is conceived using the augmented state. The conditions of the observer convergence and of the control existence are formulated in terms of Linear Matrix Inequalities (LMI). The formulation in LMI shows that the synthesis of the control and the observer can be independently made. For both cases (linear and non linear) The theoretical results are validated by their application to a noisy system affected by sensor faults. Source


Khedher A.,LARA ENIT | Othman K.B.,LARA ENIT | Maquin D.,University of Lorraine | Benrejeb M.,LARA ENIT
6th WSEAS International Conference on Dynamical Systems and Control, CONTROL '10 | Year: 2010

In this communication, a method allowing the conception of a sensor faults tolerant control for the case of non linear systems described by Takagi-Sugeno models. The faults are initially estimated using a proportional integral observer. The synthetized control depends on the estimated fault and the error between the state of the system of reference and the state of the system affected by faults. The conditions of the observer convergence and of the control existence are formulated in terms of Linear Matrix Inequalities (LMI). The formulation in LMI shows that the synthesis of the control and the observer can be independently made. The theoretical results are validated on a noisy non linear system affected by sensor faults. Source

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