文档介绍：毕业论文(设计)
题目:Lorenz混沌系统的电路仿真
指导教师:
学生姓名:
学生学号:
信息工程系—电气自动化专业—08自动化2班
2011年 04月 15日
摘要
混沌学研究从早期探索到重大突破,经以至到本世纪70年代以后形成世界性研究热潮,其涉及的领域包括数学、物理学、生物学、气象学、工程学和经济学等众多学科,其研究的成果,不只是增添了一个新的现代科学学科分支,而且几乎渗透和影响着现代科学的整个学科体系。混沌学的研究是现代科学发展的新篇章。许多学者把混沌理论称为继量子力学和相对论以后二十世纪最有影响的科学理论之一,人们对混沌信号的产生和混沌振荡器等内容的研究非常感兴趣。
本文将论述混沌的概念、混沌同步和混沌控制的一些方法,并针对Lorenz系统提出了以一定的祸合比例系数,实现主动系统和被动系统的同步控制以及计算机仿真。计算机仿真结果表明:在控制的过程中,控制周期随着松弛系数值的增大而减小,较大的松弛系数导致较快的控制。这个控制法则来源于李雅普诺夫稳定性原理,可以用来控制非同步系统达到同步,最终实现所要求的P同步,即通过加入微小的控制可以在短时间内按任意比例系数实现对主动系统的响应的放大或缩小。电路实现证实了所提新方法的有效性,并且可以按照实际需要的祸合比例实现同步控制。
关键词: 混沌同步;控制;祸合比例系数;电路实现
ABSTRACT
Chaos studies from early exploration to significant breakthrough in the 1970s by up to this century after the hot forming worldwide, the field that involves including mathematics, physics, biology, meteorology, engineering and economics, and so many subject, the research achievement, not just added a new modern scientific disciplines branch, and almost permeates and affects the whole subject system of modern science. Chaos study of the development of modern science is a new chapter. Many scholars put chaos theory called after the quantum mechanics and relativity of the 20th century is one of the most influential, people on the scientific theory of chaotic signal is produced and chaotic oscillator content of the study very interested.
Synchronous control of the master system and slave systems, matching the certain coupling coefficient aiming at the system of Lorenz, puter numerical simulation are realized in this paper. puter numerical simulation shows that the transient period of controlling is generally reduced with an increase of the value of the slack constant. Clearly, the larger slack constant leads to the faster convergence rate in the control. The control law derived from Lyapunov stability theory This control method could be employed to enforce a nonsynchronous system to be synchronized, and manipulate the ultimate state of projective synchronization to any desired ratio