Stable Fuzzy Adaptive Controller Design For Nonlinear Singularly Perturbed Systems

In this paper, the singularly perturbed systems are decomposed into slow and fast subsystems. An adaptive fuzzy controller is designed for slow subsystems to satisfy the tracking requirement. To alleviate the tracking error, the controller is constructed by T-S fuzzy model system since it has superior approximation performance than Mamdani system. As for fast subsystem, a fuzzy controller is developed to stabilize the fast states. To guarantee the stability of the SP systems, Lyapunov composite technique is proposed.