For power system components based on nonlinear differential algebraic equations subsystems,a novel algorithm is proposed to study their inverse system control problem.This algorithm does not need complex transformations of controlled output vector and its high order derivative vector,which means better applicability.The procedure of inverse system controller design can be divided into two parts.First,to judge the invertibility of the controlled subsystem using the proposed algorithm.If it is invertible,an α-order integral right inverse system can be constructed by state-feedback and dynamic compensation,with which the decoupling and linearization of the composed systems are achieved.Second,various linear control theories and methods are applied to achieve the desired closed-loop performance.A decentralized nonlinear inverse valve controller is designed for multi-machine power systems based on the proposed method in this paper and the simulation results illustrate its validity.