标题: 速率陀螺仪之浑沌同步与反控制
Chaos Synchronization and Chaos Anticontrol of a Rate Gyroscope
作者: 杨吉雯
chi-wen Yang
戈正铭
Zheng-Ming Ge
机械工程学系
关键字: 速率陀螺仪;浑沌同步;浑沌反控制;李亚普诺夫指数法;耦合项;临界耦合强度;Rate gyroscope;Chaos synchronization;Chaos anticontrol;Lyapunov exponent;Coupling term;Critical coupling strength
公开日期: 2001
摘要: 本篇论文研究速率陀螺仪非线性系统的浑沌同步,不同相位对同步之影响与反控制。藉由一个相同于原系统但初始值不同的系统,利用六种不同的耦合项去使两系统产生浑沌同步。并且以李亚普诺夫指数法,时间响应以及系统同步时间去验证系统同步时的临界耦合强度值。接着引进欧几里得距离以研究单向耦合时同步的暂态时间,并作出一耦合强度与距离的关系图。然后讨论如果两个相同系统初始相位值不同,会对同步发生的影响。
继之,以外加控制项使原来之周期解改变为浑沌以达成反控制的要求。使用的反控制方法为:外加定力矩、外加周期力矩、外加周期脉冲、时间延迟控制、适应性反控制。
Chaos synchronization and anticontrol of a rate gyroscope are studied in this thesis. By generating two identical systems with different initial conditions, six different coupling terms are used to synchronize the chaotic systems. Lyapunov exponent, time response and synchronous time are used to confirm the critical coupling strength. Then Euclidean distance is used to unidirectional synchronization and plot a figure with coupling strength vs the distance. Next, it is discovered that two identical systems with different initial phase may give different effect to synchronization.
Finally anticontrolling term is added to change state from regular to chaos. The anticontrolling methods such as adding of a constant torque, a periodic torque, a periodic impulse torque, time delay control, and adaptive anticontrol are used.
URI: http://140.113.39.130/cdrfb3/record/nctu/#NT900489044
http://hdl.handle.net/11536/69161
显示于类别:Thesis