Robust and Resilient Control for Time-Delay Wind Energy Conversion System

Wind energy is the fastest growing and most promising renewable energy resource. A robust and resilient delay independent control framework with a H_∞ performance objective for a time delayed variable speed permanent magnet synchronous generator based wind energy conversion system is proposed. Based on the nonlinear dynamics, a third order linearized model for the wind energy conversion system is developed. It is assumed that the system has unstructured bounded uncertainties and it is exposed to bounded L₂ type of disturbances. Moreover, fixed time delays are assumed to be existed in the input and state feedback signals. Linear matrix inequalities are utilized to convert the problem of controller existence into a convex optimization problem. Computer simulations conducted in Matlab verified the effectiveness of the proposed control in achieving asymptotic stability and meet the H_∞ performance objective requirements.