Abstract
The aim of this paper is to present a new fuzzy tracking control for a wind energy conversion system (WECS), which consists of a permanent magnet synchronous generator based variable speed wind turbine (WT). First, a fuzzy Takagi-Sugeno (T-S) model is used to represent the PMSG-WT nonlinear system. Next, a fuzzy tracking control based on the concept of virtual desired variables (VDVs) is formulated to simplify the design of the virtual reference model and the control law. Using this concept, a two-stage design procedure is developed: i) determine the VDVs from the output equation of the nonlinear system and the generalized kinematics constraints ii) find the feedback controller gains by solving a set of linear matrix inequalities (LMIs). Finally, simulation results are provided to demonstrate the validity and the effectiveness of the proposed method.

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