Exact linearization based multiple-subspace iterative resolution to affine nonlinear control system

Zi Xiang Xu; De Yun Zhou; Zi Chen Deng

doi:10.1007/s10483-006-1209-z

Exact linearization based multiple-subspace iterative resolution to affine nonlinear control system

Zi Xiang Xu, De Yun Zhou, Zi Chen Deng

Northwestern Polytechnical University Xian

Research output: Contribution to journal › Article › peer-review

Abstract

To the optimal control problem of affine nonlinear system, based on differential geometry theory, feedback precise linearization was used. Then starting from the simulative relationship between computational structural mechanics and optimal control, multiple-substructure method was inducted to solve the optimal control problem which was linearized. And finally the solution to the original nonlinear system was found. Compared with the classical linearizational method of Taylor expansion, this one diminishes the abuse of error expansion with the enlargement of used region.

Original language	English
Pages (from-to)	1665-1671
Number of pages	7
Journal	Applied Mathematics and Mechanics (English Edition)
Volume	27
Issue number	12
DOIs	https://doi.org/10.1007/s10483-006-1209-z
State	Published - Dec 2006

Keywords

Affine nonlinear system
Multiple-substructure
Optimal control
Precise linearization

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10.1007/s10483-006-1209-z

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abstract = "To the optimal control problem of affine nonlinear system, based on differential geometry theory, feedback precise linearization was used. Then starting from the simulative relationship between computational structural mechanics and optimal control, multiple-substructure method was inducted to solve the optimal control problem which was linearized. And finally the solution to the original nonlinear system was found. Compared with the classical linearizational method of Taylor expansion, this one diminishes the abuse of error expansion with the enlargement of used region.",

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author = "Xu, {Zi Xiang} and Zhou, {De Yun} and Deng, {Zi Chen}",

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KW - Multiple-substructure

KW - Optimal control

KW - Precise linearization

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IS - 12

ER -

Exact linearization based multiple-subspace iterative resolution to affine nonlinear control system

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