The Lie symmetry method is introduced for the decoupling problem of nonlinear control system. Firstly, the key technology of Lie symmetry theory for differential equations is introduced; secondly, a kind of nonlinear control system model is established, and the conditions and properties of Lie symmetry are given in detail. Finally, the decoupling global and local forms of the system are given through the derived distribution of infinitesimal generators. The numerical results show the effectiveness of Lie symmetry method. As long as the infinitesimal generator is constructed, the cascade decoupling form of nonlinear control system could be obtained.

decoupling control, Lie symmetry, infinitesimal generator.