Multirate Input Control for Fuzzy Systems Based on Disk-Pole Placement

A new multirate fuzzy control technique for continuous-time nonlinear systems is presented in this paper. First, the lifted Takagi-Sugeno(T-S) fuzzy model of the plant is constructed subject to linear matrix inequalities (LMIs). Then, a multirate input controller for the multiple T-S linear models, based on the design of the local feedback controllers using optimal diskpole (D-pole) placement, is proposed. A sufficient condition for the existence of such a controller is expressed in terms of algebraic Riccati equation. Finally, the stability of the closed-loop control system is derived in the sense of Lyapunov. Simulation results show the effectiveness of the proposed method.