Quadratic stability of synchronous machine via Takagi-Sugeno fuzzy control

This paper deals the stability analysis of the PDC controller synthesis of a synchronous machine represented by TS fuzzy model. Based on a Quadratic Lyapunov function candidate (QLF), asymptotic stability conditions for continuous system implemented via Linear Matrix Inequalities was estabilished. Nevertheless, when we have a system that has a common control matrix, these additive constraints on the level of the coupled terms lead, obviously, to more conservative conditions. This suggestion guaranteed by deferring the problem only on the dominant terms naturally supposed controllable.