DECOUPLING OF NONLINEAR CONTROL SYSTEM BASED ON LIE SYMMETRY METHOD

Zheng Mingliang; Nie Wenyan; Cheng Daguang; Yu Liang

Zheng Mingliang School of Mechanical and Electrical Engineering, Huainan Normal University, Huainan 232038, P.R.China
Nie Wenyan School of Mechanical and Electrical Engineering, Huainan Normal University, Huainan 232038, P.R.China
Cheng Daguang School of Mechanical and Electrical Engineering, Huainan Normal University, Huainan 232038, P.R.China
Yu Liang School of Mechanical and Electrical Engineering, Huainan Normal University, Huainan 232038, P.R.China

Article ID: 2437

Keywords: decoupling control; Lie symmetry; infinitesimal generator

Abstract

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.

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