具有m个输入和n个输出的对象的不稳定和确定混沌模式的控制

BULLETIN of L.N. Gumilyov Eurasian National University. Technical Science and Technology Series Pub Date : 1900-01-01 DOI:10.32523/2616-7263-2019-127-2-13-20

M. Beisenbi, S. Mussabayeva, A. Satpayeva, N. Kissikova

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摘要

本文提出了一种构造非线性对象的确定性混沌状态控制系统的方法，该控制系统属于突变类，即基于突变理论的具有m个输入和n个输出的系统的双曲组合。结果表明，鲁棒稳定势的增大是保证系统不受“奇异吸引子”产生的确定性混沌状态影响的主要保护因素。利用李雅普诺夫函数向量的梯度速度法研究了具有高鲁棒稳定性的控制系统。摘要:利用计算(数值)直径完全解决了给定不精确信息的任意有限三角傅里叶系数集函数的近似微分问题。(100 - 200字)

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Control of unstable and determined chaotic modes of the ob ject with m inputs and with n outputs

: The paper proposes a method for constructing control systems for deterministic chaotic regimes of nonlinear objects in the class of catastrophes, a hyperbolic ombric from a catastrophe theory for a system with m input and n output. It is shown that the increase in the robust stability potential is the main protection factor guaranteeing the system from the regime of deterministic chaos with the generation of "strange attractors". Investigations of the control system with a high potential for robust stability are made by the gradient-velocity method of the Lyapunov function vector. Abstract: The computational (numerical) diameter is used to completely solve the problem of approximate diﬀerentiation of a function given inexact information in the form of an arbitrary ﬁnite set of trigonometric Fourier coeﬃcients. [100-200 words]

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BULLETIN of L.N. Gumilyov Eurasian National University. Technical Science and Technology Series

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