Stabilization PDC controller of T-S systems for synchronous machine without amortisor with maximum convergence rate

Authors:
Najat Ouaaline;Noureddine Elalami
Affiliations:
Laboratoire d'Automatique et Informatique Industrielle, Ecole Mohammadia d'Ingénieurs, Rabat, Morocco;Laboratoire d'Automatique et Informatique Industrielle, Ecole Mohammadia d'Ingénieurs, Rabat, Morocco
Venue:
CSS'11 Proceedings of the 5th WSEAS international conference on Circuits, systems and signals
Year:
2011

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Abstract

This paper presents a stabilization conditions and design procedures of state observer based controllers for synchronous machine without amortisor. First, the T-S model approach for continuous nonlinear systems and some stabilization results are recalled. The stabilization conditions are obtained by using the quadratic lyaponov function. The asymptotic and exponential stabilization are considered with the maximization of the convergence rate. The stability conditions of the closed loop multiple models are expressed in linear matrix inequalities (LMI) form. To optimize the degree of stability, a formulation in term of generalized eigenvalues problem (GEVP) is proposed. Simulation results for synchronous machine without amortisor demonstrate the PDC controller's effectiveness.