Static, Dynamic and Robust Performance Optimal Control of H- bridge Inverter Based on LMI Method

In order to enable the H-bridge inverter to achieve no static error tracking, fast dynamic response, good robust performance and strong anti-disturbance, the dual-loop control method combining internal model controller (IMC) and discrete sliding mode controller is applied into the control system. Firstly, the system model of H-bridge inverter is introduced, and the design of internal model controller and discrete sliding mode controller is theoretically analyzed. The robust control problem is transformed into a linear matrix inequality convex optimization problem through system matrix dimension augmentation; Secondly, the linear matrix inequality (LMI) method is used to solve the robust D-region of the system, the feedback control law is regarded as an optimization parameter, and the system state feedback control law is obtained by the LMI method; Finally, the whole system is verified by simulation and experiment. The results show that the control law designed by LMI can locate all the poles of the control system in the specified D area within the parameter uncertainty range, and the H-bridge inverter The steady-state output voltage is within 220 ± 1 V, the dynamic recovery time does not exceed 0.01 s, and the output voltage is not affected when the system parameters are disturbed.