Disclosed is a compound control method for an inverter. By adopting existing two control methods of proportional differential and repetitive control in a compounding manner, output of the inverter can satisfy operating requirement. The compound control method comprises the following steps of S1, obtaining a topological structure of the inverter and establishing a calculation model; S2, calculating a transfer function P(s) of the inverter according to the calculation model obtained in the step S1; S3, calculating system negative feedback error E(s) according to a common PID control principle; S4, configuring a transfer function G(s) of a common negative feedback PID controller; S5, configuring a transfer function H(s) of a repetitive controller; and S6, replacing a control part of integral (I) in the PID controller by the repetitive controller H(s). The compound control system disclosed by the invention integrates the advantages of rapid response to interference of the proportional differential controller and low steady state error of repetitive control; and phase compensation design is introduced to the repetitive control part, so that compared with the single proportional differential control and single repetitive control, a better control effect is achieved.