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本文对非同构系统的混沌状态同步问题进行了讨论,并对单变量单向及双向耦合和多变量耦合对各自系统动力学行为产生的影响进行了对比分析.基于广义同步混沌化的驱动控制原理,利用经典的Lorenz系统产生混沌信号去驱动永磁直流电机,使电机转速工作在混沌状态,并得到了同步控制器的解析表达式.最后,进行系统数值仿真,验证了同步控制的有效性. 相似文献
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The chaotification problem of discrete Hamilton systems in one dimensional space is investigated and corresponding chaotification theorem is established. Feedback control techniques is used to make arbitrary discrete Hamilton systems chaotic, or enhance its existing chaotic behaviors. By designing a universal controller and combining anti-integrable limit it is proved that chaos of the controlled systems is in the sense of Devaney. In particular, the systems corresponding to the original systems and designed controllers are only required to satisfy some mild assumptions. Moreover, the range of the coefficient of the controller is given. 相似文献
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Chaowen Shen Simin Yu Jinhu Lü Guanrong Chen 《International Journal of Circuit Theory and Applications》2015,43(12):2039-2056
Over the last two decades, chaotification has received increasing attention from various communities of science and engineering. This paper aims at developing a unified chaotification framework for generating desired higher‐dimensional dissipative hyperchaotic systems by using a single‐parameter controller. The main idea is to use a block diagonal matrix in the design of the nominal system, so as to construct a desired hyperchaotic system. Specifically, the proposed scheme is to assign desired closed‐loop poles to the controlled system, allocating the corresponding numbers of eigenvalues with positive real parts at two types of saddle‐focus equilibria. For the non‐degenerate case, the number of positive Lyapunov exponents of the controlled system is given by the largest number of positive Lyapunov exponents of the desired hyperchaotic system. Two representative examples are given to illustrate and verify the proposed design method. Finally, the digital signal processor is employed to implement the above 10‐dimensional hyperchaotic systems, and the experimental observation is also given. Copyright © 2015 John Wiley & Sons, Ltd. 相似文献
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滑翔中段轨迹混沌化方法研究
刘方震1,2,刘鲁华1,2,欧朝3,4
（1. 中山大学 航空航天学院,广东 深圳518107; 2. 深圳市智能微小卫星星座技术与应用重点实验室,广东深圳518107; 3. 华中科技大学 航空航天学院, 湖北 武汉430074; 4. 中国空气动力研究与发展中心空天技术研究所, 四川绵阳621000）
本文亮点：
1、鉴于混沌系统具有状态轨迹不可预测的主要特点,本研究提出一种高超声速滑翔飞行器机动方法,该方法通过飞行动力学系统的混沌化而实现飞行轨迹的混沌化,且机动轨迹考虑了过程约束。
2、通过状态反馈控制和切换控制实现了飞行动力学系统的混沌化,并利用连续系统Lyapunov指数算法验证了系统的混沌性。
3、提出一种基于保守动力学系统的稳定域分析方法,分析了混沌轨迹的可行性。并且该方法可应用于一般复杂动力学系统的稳定域分析。
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赵秋玲 《北京机械工业学院学报》2011,(4):69-72
根据混沌的本质,对工程中一类在周期激励力作用下的振动问题,将其动力字方程进行无量纲化后,采用传统的跟踪控制的方法,使其跟踪一种During系统从而混沌化。根据出现混沌的必要条件（M6lnikov判据）设计控制参数,对共振频率下和最大转速情况进行仿真计算,实现了在一定的频率范围内对振动系统进行混沌化的过程。将无控制和经过混沌化控制2种情况进行比较发现：在共振频率下,无控制情况下输出振幅是混沌化后输出振幅的近60倍,说明了这种混沌化控制方法对控制共振的有效性。 相似文献
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Xiao Fan Wang Guanrong Chen 《International Journal of Circuit Theory and Applications》2000,28(3):305-312
In this paper, the problem of making a stable map chaotic by using smooth small‐amplitude high‐frequency feedback control is studied. The controlled map is mathematically proven to be chaotic in the sense of Li and Yorke. To demonstrate the practical usefulness of the proposed method, it is applied to a feedback boost switching regulator model operating in discontinuous mode. Copyright © 2000 John Wiley & Sons, Ltd. 相似文献
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基于逻辑斯蒂映射的电机混沌反控制 总被引：1，自引：0，他引：1
为了提高工业搅拌的搅拌效率,本文以应用在工业搅拌实验中的永磁直流电机为例,提出了一种基于逻辑斯蒂(Logistic)映射的混沌反控制方法,通过转速反馈,诱导电机进入混沌运行.计算机仿真表明,在这种控制下的工业搅拌装置,可以有效地提高搅拌效率,降低搅拌时间等.同时,本文分析了混沌搅拌中的混沌特性,为进一步的实际应用打下了理论基础. 相似文献
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