Finite frequency H∞ control for T-S fuzzy systems: Application to wind turbine

For the H_∞ control problem of continuous-time T-S fuzzy systems, an H_∞ controller design method in low frequency domain is proposed. First, an state feedback control controller structure is given. To achieve better control performance of the system in low frequency, the H_∞ index for attenuating the unknown low frequency disturbance is guaranteed by generalized Kalman-Yakubovich-Popov lemma. Then the stability and robustness conditions are converted into linear matrix inequality (LMIs) forms which can be solved directly by convex optimization technique. In simulation section, a vessel dynamic positioning task is carried out to show the effectiveness of the proposed method.