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环境干扰下分形生长的定方位控制

张丽 刘树堂

控制理论与应用2011,Vol.28Issue(12):1786-1790,5.
控制理论与应用2011,Vol.28Issue(12):1786-1790,5.

环境干扰下分形生长的定方位控制

Directed control for fractal growth with environmental disturbance

张丽 1刘树堂1

作者信息

  • 1. 山东大学控制科学与工程学院,山东济南250061
  • 折叠

摘要

Abstract

For a complex and disordered system of real fractal growth, the control model of the directed growth of the fractal growth with environmental disturbance is studied. Being different from the past studies on directed growth of the fractal growth based on their experiments, this work is concerned with the directed growth of the fractal growth theoretically. By the norm theory, we obtain a quantitative method for controlling the growing particles to aggregate in different regions when the environmental disturbance is a generalized function. The directed growth problem with the environmental disturbance in a more general functional form is solved by using the above obtained control method. Two examples of disturbances in quadratic polynomial and sinusoidal function are given, respectively. Simulation results illustrate that the growing particles will aggregate into the controlled regions when the corresponding controlled methods for associated growth regions are applied.

关键词

环境干扰/分形生长/控制

Key words

environmental disturbance/fractal growth/control

分类

通用工业技术

引用本文复制引用

张丽,刘树堂..环境干扰下分形生长的定方位控制[J].控制理论与应用,2011,28(12):1786-1790,5.

基金项目

国家自然科学基金资助项目 ()

全国百篇优秀博士论文专项基金资助项目 ()

控制理论与应用

OA北大核心CSCDCSTPCD

1000-8152

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