多变量系统连续模型与其离散模型间的一些转换关系

基金项目:

国家电子工业部(85)电科字0312号基金资助

Some Transform Relations Between The Continuous-time Multivariable System Model and Its Sampled Version

摘要: 利用状态空间法探讨了以矩阵多项式分式形式给出的多变量线性定常系统的传递函数阵与其离散化所得脉冲传递函数阵之间的转换关系。首先,对多变量连续系统和离散系统都给出了用与传递函数阵参数有直接关系的参数阵表达的状态空间模型,并作对角化处理。然后,又导出了直接由多变量连续系统状态模型作离散化的基本公式,进而导出了由传递函数阵参数推求脉冲传递函数阵参数的基本转换关系式。
- 多变量系统分析 /
- 采样系统模型
Abstract: The transform relations between the transfer function, given in the form of matrixing polynomial fraction, and its sampled version——pulse transfer function are investigated for linear time-invariantrnultivariable systems via state-space approach. The paper firstly presents the state-space models, whose parameter matrices are directly related to those in the transfer function matrices, both for the continuous-time and discrete-time rnultivariable systems, and then makes the state equations diagonalized. Secondly, the paper developes basic formulas for the discretization of the state-space model of continuous-time rnultivariable system, and furthermore, some basic relations used for the transformation of transfer function matrix into its sampled version.