Design of decentralized proportional–integral–derivative controller based on decoupler matrix for two-input/two-output process with active disturbance rejection structure

The framework of the active disturbance rejection internal model control is proposed to solve the problem of the model reduced-order error in the process of the controller design for two-input/two-output system with time delay. In the controller design process of the two-input/two-output system, the decoupler matrix method is used to decompose a multi-loop control system into a set of equivalent independent single loops. Then, a complex equivalent model is obtained, and its order should be reduced for each individual loop. Maclaurin series method is used to reduce the order of the decoupling model. After reducing model order, the proposed method is applied to lessen the effect of the reduced-order error and improve the anti-interference ability and robustness for the control system. Simulation results show that the proposed method possesses a good disturbance rejection performance