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本文用代数方法讨论了传递函数的最小实现问题。首先从传递函数可否约分的概念出发,提出了可控可观测新的代数判据;讨论了梯形网络的状态公式、结构可控可观测性及状态反馈和输出做最小实现的代数方法,并给出了例题。这种实现方法较状态空间法结构简单,有源和无源元件个数少,而且梯形网络的元件值可任意给定,加法器各增益值计算简单。
In this paper, the algebraic method is used to discuss the minimum realization of transfer function. First of all, based on the concept of whether the transfer function is decoupled, a new algebraic criterion for controllability and observability is proposed. The algebraic method for minimizing the state equations, structural observability and state feedback and output of the ladder network is discussed. Give examples. Compared with the state space method, this method has the advantages of simple structure, small number of active and passive components, and element values of the trapezoidal network can be given arbitrarily, and the gain value of the adder is simple to calculate.