Controller Design of Equivalent-Input-Disturbance System based on H-infinity

A methodology of the the Equivalent-Input-Disturbance control system based on H-infinity (H∞) is proposed in this paper. This design method aims to solve the problem that the parameters of the control system lack unified standard to set. It converts the controller design problem into a convex optimization problem with LMI constraints. The parameters of the control system are obtained by using the LMI toolbox in Matlab. Firstly, the model of the Equivalent-Input-Disturbance system containing state feedback controller is built; secondly, the controller design problem is transformed into a standard H∞ state-feedback design problem and a mathematical model of the transformed H∞ standard control model is established; finally, under the H∞ formulation, the state feedback gain is obtained by solving the LMI constraint inequations and the stability is considered based on the small gain theorem. Simulation results show that the proposed method is effective and easy to implement.