PDC control strategy for a synchronous machine subject to magnetic saturations

This paper presents a Parallel-Distributed-Compensation (PDC) control strategy for a highly saturated synchronous machine, represented by a continuous-time Takagi-Sugeno (T-S) model. The proposed control law is provided to guarantee the stability of the closed-loop system as well as trajectory tracking. Based on Lyapunov’s theory and the α-stability concept, new conditions are formulated and solved using a finite set of Linear Matrix Inequalities (LMIs). Finally, a numerical example is introduced to illustrate the relevance of the proposed approach.