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INTERNATIONAL JOURNAL OF MATHEMATICAL MODELS AND METHODS IN APPLIED SCIENCES Exponential stability and stabilization of T-S System for synchronous machine without Damper

By Ouaaline Najat and Elalami Noureddine


Abstract — This paper presents the stability analysis via quadratic function of synchronous machine without damper. First, The non linear mathematical model for the proposed synchronous machine adopted in this work is described by T-S continuous fuzzy models. Next, the stability conditions are derived using Lyapunov functional approach. Then a stabilization approach for a system through control law for T-S fuzzy control based on PDC design is studied. 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 show the utility of the stability analysis based on LMIs proposed in this paper

Topics: A
Year: 2014
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