仿射非线性控制系统基于精确线性化下的多重子空间迭代解法  

Exact Linearization Based Multiple-Subspace Iterative Resolution to Affine Nonlinear Control System

作　　者：徐自祥[1] 周德云[1] 邓子辰[2] 钟万勰（推荐） 叶庆凯（推荐） 

机构地区：[1]西北工业大学电子信息学院,西安710072 [2]西北工业大学工程力学系,西安710072 [3]不详

出　　处：《应用数学和力学》2006年第12期1457-1463,共7页Applied Mathematics and Mechanics

基　　金：航空科学基金资助项目(2000CB080601);十五国防重点预研项目资助项目(2002BK080602)

摘　　要：研究仿射非线性控制系统的最优控制问题·基于微分几何理论,在反馈精确线性化后,利用计算结构力学与最优控制之间模拟关系,沿用多重子结构法来解决线性化后的最优控制问题,最终实现对原非线性系统的求解·相比于经典的Taylor展开线性化方法,减小了误差会随使用区域的扩大而扩大的弊端·To the optimal control problem of affme 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 induced to solve the optimal control problem which was linerized. And finally the solution to the original nonlinear system was found. Compared with the classical lineational method of Taylor expansion, this one diminishes the abuse of error expansion with the enlargement of used region.

关 键 词：仿射非线性系统 精确线性化 多重子结构 最优控制 

分 类 号：O231[理学—运筹学与控制论] TP273[理学—数学]