Design and Simulation of Robust Controller for Wind Turbine Using Linear Matrix Inequality

According to growing importance of environment and depletion of fossil fuels, wind energy is considered as a source of clean and renewable energy and practical alternative for generation of electrical energy in the universe. One of the issues that is outlined within development of wind turbines power generation is cost and its reliability. In this regard, various control systems and methods have been proposed for wind turbines that optimize corresponding cost and efficiency so that Ackerman and pole placement approaches can be cited among these control methods. Due to parameters variations of wind turbines during its operations and also wind speed variation, it seems essential and necessary to design a robust controller for wind turbines. Therefore, robust control technique has been proposed for wind turbines that has attracted the attention of many researchers. Particularly, one of the main challenging problem among available robust controllers is that they cannot response rapidly due to complexity and computational time issues. To solve this problem, linear matrix inequalities (LMIs) have been proposed. In this paper, a robust controller is designed based on linear matrix inequality using modern linearization methods to calculate a sufficient state feedback gain for power generation. The simulation results indicate that nonlinear models accuracy has been preserved during design of robust control based on iterative linear matrix inequality (ILMI) and controller performance is being improved in terms of stabilization and trajectories tracking.