Series solutions of state equation for nonlinear harmonic control system

Among the variables of the nonlinear control system, the useful couplings are wanted to be utilized reasonable, and the harmful relations are needed to be avoided. For this reason, the nonlinear harmonic control principle might be used in this control system. In this paper, building the state equation of nonlinear harmonic control system, and deriving the complete compensation condition of this equation under the surrounding interference, furthermore, providing the nonlinear state equation of complete compensation harmonic control system according to the control methods. In following, the arbitrary-order series solutions are also calculated using the direct heuristic method, which is proven to be one efficient calculating method for approximate solution of the state equation of nonlinear system.