定常线性离散系统到等价连续系统的变换及离散系统的相互变换
Conversion of Discrete System to Equivalent Continuous System and Mutual Conversion of Discrete Systems
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摘要: 一些大系统既包含连续模型又包含离散模型[1],必须将它们变换成一致的形式.本文讨 论定常线性离散系统到等价连续系统的变换以及离散系统的相互变换问题,介绍实现这种变 换的特征根法、矩阵对数展式法和逐次逼近法.逐次逼近法在工程设计中较实用.文中给出 了各种算法所必须满足的条件.数例表明这些算法的结果良好.Abstract: Many large systems contain both continuous and discrete models. It is necessary to convert them into a consistent form. In this paper three methods for discrete-to-continuous and discrete-to-discrete conversions of timeinvariant linear system are presented. The relevant conditions for model conversions are also introduced. Some numerical examples with satisfactory results by these methods are demonstrated.
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