Fuzzy controller design with passivity performance for Single Machine Infinite Bus Power systems

This paper presents a passive affine fuzzy controller design method for a single machine infinite bus power (SMIBP) system with external disturbances. In order to approximate the trajectories of the SMIBP system accurately, the affine Takagi-Sugeno (T-S) fuzzy model is employed to analyze the stability of the system. For resisting the perturbation from the load side or environment, the passivity theory can be employed to attenuate the external disturbance and to achieve system stability. In addition, the Lyapunov function is used to be the storage function that can represent the total energy of the system. Besides, the optimal convex algorithm and iterative linear matrix inequality (ILMI) algorithm are proposed to solve the present control problem. Finally, simulation results are provided to show that the proposed fuzzy controller can achieve the strict input passivity and Lyapunov stability for the SMIBP system.