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.
出处
《控制与决策》
EI
CSCD
北大核心
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
关键词
非线性系统
弱能控性
受控因子
阶次差
nonlinear systemsi weak controllability, controllable factors, degree difference
