| EXACT LINEARIZATION BASED MULTIPLE-SUBSPACE ITERATIVE RESOLUTION TO AFFINE NONLINEAR CONTROL SYSTEM |
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| 作者姓名： | 徐自祥 周德云 邓子辰 |
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| 作者单位： | [1]School of Electronics and Information, Northwestern Polytechnical University, Xi＇an 710072, P. R. China [2]Department of Engineering Mechanics, Northwestern Polytechnical University, Xi＇an 710072, P. R. China |
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| 摘 要： | 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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| 关 键 词： | 控制论 线形化 子空间 分解能力 |
| 收稿时间： | 2004-11-23 |
| 修稿时间： | 2006-07-05 |
Exact linearization based multiple-subspace iterative resolution to affine nonlinear control system |
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| Zi-xiang Xu Doctor,De-yun Zhou,Zi-chen Deng.EXACT LINEARIZATION BASED MULTIPLE-SUBSPACE ITERATIVE RESOLUTION TO AFFINE NONLINEAR CONTROL SYSTEM[J].Applied Mathematics and Mechanics(English Edition),2006,27(12):1665-1671. |
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| Authors: | Zi-xiang Xu Doctor De-yun Zhou Zi-chen Deng |
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| Institution: | 1. School of Electronics and Information, Northwestern Polytechnical University,Xi'an,710072, P. R. China
2. Department of Engineering Mechanics, Northwestern Polytechnical University,Xi'an,710072, P. R. China |
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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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| Keywords: | affine nonlinear system precise linearization multiple-substructure optimal control |
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