非线性奇异系统的能控性子分布

Controllability Distributions of Nonlinear Singular Systems

研究非线性奇异控制系统的能控性子分布问题.提出了非线性奇异系统的能控性子分布的概念;研究了非线性奇异系统能控性子分布的反馈不变性质;给出了非线性奇异系统能控性子分布的算法,并讨论这个算法的一些性质;证明了在一定条件下,该算法给出的分布确为包含在某给定分布中的非线性奇异系统的最大能控性子分布.

The controllability distribution problem of nonlinear singular control systems is studied. The concept of controllability distribution is introduced for nonlinear singular control systems, and the feedback invariant properties of this controllability distribution are discussed. The algorithm of controllability distribution of nonlinear singular systems is developed, and the properties of this algorithm are discussed. Under certain conditions, the controllability distributions developed by this algorithm are exactly the maximal controllability distribution of nonlinear singular systems contained in the given distribution.