Free motion of sequence of similar aperiodic blocks

2016 8th International Congress on Ultra Modern Telecommunications and Control Systems and Workshops (ICUMT) Pub Date : 2016-10-01 DOI:10.1109/ICUMT.2016.7765389

N. Vunder, A. Ushakov, O. Nuyya, Ruslan O. Peshcherov

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引用次数: 1

Abstract

In the theory and practice of control systems design a model of the desired behavior which state matrix has the Newton's binary distribution of eigenvalues has found its widespread usage. Using the transfer functions apparatus in a structural representation of these systems yields systems in the form of a sequence of similar first order aperiodic blocks. The transient response of the system is characterized by the absence of overshoot. The situation changes considerably if the control system with a binomial distribution of eigenvalues is in a nonzero initial state. The system in the form of the sequence of similar first order aperiodic blocks mathematically turns out to be a three-parameter system with the following parameters: the absolute value of the negative real number, its multiplicity which is equal to the order of the system and the transfer coefficient. It was determined that in the three-parameter system, which is a present work research object, peaks of the state vector norm in the free motion trajectories may occur for any values of the absolute value of the negative eigenvalue.

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类似的非周期块序列的自由运动

在控制系统的理论和实践中，状态矩阵具有特征值的牛顿二值分布的期望行为模型的设计得到了广泛的应用。在这些系统的结构表示中使用传递函数装置，产生类似一阶非周期块序列形式的系统。系统的瞬态响应以无超调为特征。当具有特征值二项分布的控制系统处于非零初始状态时，情况发生了很大的变化。类似一阶非周期块序列形式的系统在数学上是一个三参数系统，其参数为负实数的绝对值、与系统阶数相等的多重数和传递系数。研究结果表明，在当前工作研究对象三参数系统中，对于负特征值绝对值的任意值，自由运动轨迹中的状态向量范数都可能出现峰值。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

2016 8th International Congress on Ultra Modern Telecommunications and Control Systems and Workshops (ICUMT)

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