摘要
结构分解方法通过对线性系统的状态、输入、输出变量进行变换,将线性定常系统动态方程中的系数矩阵分解为具有不同结构特点的特殊形式,以便进行控制分析.本文对Chen等提出的奇异系统结构分解过程进行改进,改进后的方法在不影响已有的性质的情况下更易于系统的可控性和可观测性的分析,并给出判定可控性和可观测性的充分必要条件及其证明过程.
The structural decomposition technique proposed by Chen et al. for linear descriptor systems is a technique that decomposes the dynamical equations into several parts, which reveal the structural properties, through transformations of the state, input and output variables. In this paper, the process of structural decomposition is improved. The new solution is easy to analyse the controllability and the observability of the systems when the character is not influenced. Lastly, some theorems and proofs for the properties of the controllability and the observability of the descriptor systems is given.
出处
《厦门大学学报（自然科学版）》
CAS
CSCD
北大核心
2008年第3期337-342,共6页
Journal of Xiamen University：Natural Science
基金
985"智能化国防安全信息技术"科技创新平台Ⅱ资助
关键词
线性奇异系统
结构分解
可控性
可观测性
linear singular systems
structural decomposition
controllability
observability
