DECOUPLING OF NONLINEAR CONTROL SYSTEM BASED ON LIE SYMMETRY METHOD.

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Bibliographic Details
Title: DECOUPLING OF NONLINEAR CONTROL SYSTEM BASED ON LIE SYMMETRY METHOD.
Authors: Zheng Mingliang1 lianmingzheng@hnnu.edu.cn, Nie Wenyan1, Cheng Daguang1, Yu Liang1
Source: Advances in Differential Equations & Control Processes. Jun2024, Vol. 31 Issue 2, p275-283. 9p.
Subjects: Mathematical decoupling, Nonlinear systems, Symmetry, Differential equations
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. [ABSTRACT FROM AUTHOR]
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Database: Engineering Source
Description
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. [ABSTRACT FROM AUTHOR]
ISSN:3048734X
DOI:10.17654/0974324324014