Solution for Dynamics Equations of Control Systems with Time-delay by Precise Integral Algorithm

Chuanbo Ren, Xiangtao Tian
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Abstract

The dynamic system with time-delay exists in various engineering fields. A delayed controlled machine system can be dispersed into an ordinary differential equation with time-delay. The precise integral algorithm used in the paper is a new method for finding the solution of time-delay dynamics systems. Disperse the system equation by treating the delay term as power term, and get the discrete solution by discussing the integral limitations and by linear interpolation and Romberg integral. The comparison with other algorithms reveals that the proposed method is of very simple course and of high accuracy
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用精确积分算法求解时滞控制系统动力学方程
具有时滞的动态系统存在于各个工程领域。时滞控制机床系统可以离散成具有时滞的常微分方程。本文所采用的精确积分算法是求解时滞动力学系统的一种新方法。将时滞项作为幂项对系统方程进行离散,通过讨论积分限制,采用线性插值和Romberg积分得到离散解。与其他算法的比较表明,该方法过程简单,精度高
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