基于非线性系统受控因子的能控性分析方法  

A Method to Nonlinear Controllability Based on Its Controllable Factors

作　　者：刘成[1] 冯元琨[1] 李春文[1] 杜继宏[1] 

机构地区：[1]清华大学自动化系,北京100084

出　　处：《控制与决策》1997年第A00期504-507,共4页Control and Decision

基　　金：国家自然科学基金资助课题

摘　　要：提出一种基于受控因子的非线性能控性分析方法。引入受控因子与阶次差的概念,分析了相同阶次差的受控因子间的关系,给出了一种判别多项式矩阵满秩的方法。最后以文献[1]给出的结论为基础,推导了判别非线性系统弱能控性的新判据。A new method to nonlinear controllability based on controllable factors is presented in this paper. First the concepts of controllable factor of nonlinear systems and its degree difference are raised, further-more, the relations between those controllable factors with the same degree difference are discussed; after that an approach is given to judge whether the rank of a polynomial matrix is full ; finally. on the basis of the above results and the conclusion introduced in [1], a new theorem to analyze nonlinear weak controllability is reduced.

关 键 词：非线性系统 弱能控性 受控因子 阶次差 

分 类 号：TP271.72[自动化与计算机技术—检测技术与自动化装置]