LMI approach to Robust Fuzzy H∞ Control for Wind Generator System in Finite Frequency Domain

Abstract

This paper deals with quandary of wind turbine control for Takagi Sugeno fuzzy model (TS) in finite frequency domain. The objective is to design a controller which can the asymptotic stability of the global system and minimize the perturbances level caused by the wind haste. The TS fuzzy model is proposed to deal with a nonlinear deportment of wind system, and the finite frequency approach sanctions the command in a specific domain of frequency. By utilizing the lemma of generalized Kalman-Yakubovich-Popuv (GKYP), the H$\infty$ control theory and Linear Matrix Inequality technique (LMI), an incipient approach for the robust fuzzy control in finite frequency domain is given. When the disturbances of the systems occur in a range of finite frequencies which is known in advance, it is better to control the system on a very precise frequency domain and not over the whole range of frequencies, to obtain more efficient results and more conservative. In comparison with the full frequency control, the specific domain of frequency approach proves the better performances in wind turbine control. All the developed results are presented in the format of linear matrix inequalities (LMIs) and the simulation results were given provides satisfactory of the proposed approach.