EXACT LINEARIZATION BASED MULTIPLE-SUBSPACE ITERATIVE RESOLUTION TO AFFINE NONLINEAR CONTROL SYSTEM  

作　　者：徐自祥 周德云 邓子辰 

机构地区：[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

出　　处：《Applied Mathematics and Mechanics(English Edition)》2006年第12期1665-1671,共7页应用数学和力学（英文版）

基　　金：Project supported by the Aviation Science Foundation of China (No.2000CB080601) the National Defence Key Pre-research Project of the 'Tenth Five-Year-Plan' of China (No.2002BK080602)

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.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.

关 键 词：affine nonlinear system precise linearization multiple-substructure optimal control 

分 类 号：O231[理学—运筹学与控制论] TP273[理学—数学]