基于动态图的脉宽自动控制系统建模与研究的分解方法

A. Kadirov, D. Kadirova, A. Nazarov
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摘要

脉宽调制系统本质上是非线性自动控制系统。脉宽系统的复杂性因素包括多变量、脉宽调制器工作的多速率特性以及控制对象的非平稳性。这种系统早已为人所知,现在已被广泛使用。人们提出了各种精确和近似的方法来分析和综合PWM系统。已知方法的实际应用领域仅限于单变量系统,因为经典方法提供了作为一个整体的初始结构的考虑。因此,在研究这些系统时出现的根本困难的根本原因。本文提出了一种基于动态图模型的多变量脉宽自动控制系统建模和研究的分解方法。在为离散动力系统的数学公式、分析和综合创造一种方法时,关键因素之一是最大限度地考虑这些系统的一般物理特性。有关系统的一般基本奇异性是简单子系统或Si结构态的自然分解(结构离散化)。在多变量脉宽系统中,每个独立或交叉通道的模型是一个单变量脉冲系统图。分解为单独通道和交叉通道中的过程,可以改变某些通道的参数,并对传输通道中发生的动态过程进行间隔校正。该方法可用于单变量和多变量系统的分析和综合
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DECOMPOSITIONAL METHOD FOR MODELLING AND STUDYING PULSE-WID PULSE-WIDTH AUTOMATIC CON TIC CONTROL SY TROL SYSTEMS BASED ON STEMS BASED ON DYNAMIC GRAPHS
Systems with pulse-width modulation are essentially non-linear automatic control systems. The complexity factors of pulse-width systems include multivariable, the multirate nature of the pulse-width modulators work, and the nonstationarity of control objects. Such systems have been known for a long time and are now widely used. Various exact and approximate methods have been proposed for the analysis and synthesis of PWM systems. The field of the practical application of known methods is limited to single-variable systems because classical approaches provide for the consideration of the initial structures as a whole. Hence, the root cause of the fundamental difficulties arising in the study of such systems.This article proposes a decompositional method for modelling and studying multivariable pulse-width automatic control systems based on the dynamic graph models. One of the key factor when create the one approach for mathematical formulation, analysis and synthesis of discrete dynamic systems is the maximum consideration of general physical special features in terms of these systems. The general fundamental singularity of systems concerned is the natural decomposition (structure discretization) on simple subsystems or structural states of Si . In the multivariable pulse-width systems, the model of each separate or cross channel is a singlevariable impulse system graph. Decomposition into processes in separate and cross channels allows to change the parameters of certain channels and to carry out interval correction of dynamic processes occurring in transmission channels. This method can be used for analysis and synthesis of both single-variable and multivariable systems
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