H∞H∞ state feedback controller design for continuous-time T–S fuzzy systems in finite frequency domain

This paper is concerned with finite frequency H∞H∞ state feedback controller designs for continuous-time Takagi–Sugeno (T–S) fuzzy systems. A parallel distributed compensation (PDC) controller is designed in finite frequency domain. With the aid of the generalized Kalman–Yakubovich–Popov (GKYP) lemma, the design problem is formulated as solving a set of linear matrix inequalities (LMIs). Simulation examples illustrate that the finite frequency design approach proposed in this paper receives better results than those of existing full frequency approaches.