共查询到20条相似文献,搜索用时 62 毫秒
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混沌系统的递次错位反馈控制方法研究 总被引:4,自引:3,他引:4
设计了一种递次错位反馈控制(SDF)方法来实现混沌控制.介绍了SDF方法的控制原理,以单模激光Lorenz混沌系统作为典型的例子,验证了这种控制方法的有效性.比较单模激光Lorenz混沌系统受控前后相图、功率谱和相空间重构等刻划混沌系统的特征量.数值模拟结果显示, 受控系统的相图和相空间重构中由具有无穷嵌套自相似结构并限定在有限相空间内的混沌吸引子转变为周期数为2n×3mp(n、m为整数)的周期轨道;同时,功率谱也由连续谱转变为具有独立单峰的分立谱. 相似文献
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利用单模激光Lorenz系统实现异结构混沌系统混沌同步 总被引:1,自引:1,他引:0
对混沌同步问题进行了研究。设计了一种同步控制器来实现异结构混沌系统之间的混沌同步。减少了控制器的数量,仅用一个控制器就能实现这一同步控制。同时,控制器只需在目标和响应系统中提取一个易提取信号即可实现,从而大大降低了同步代价,便于实际应用。以单模激光Lorenz系统和coullet系统为例,验证了这种控制器的有效性。仿真模拟结果表明,在控制器的作用下,coullet系统所有状态变量严格地跟踪了单模激光Lorenz系统的混沌轨迹,两者迅速地达到完全同步。该设计的控制方法可用于任意混沌系统,具有一定的普适性。 相似文献
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研究了异结构混沌系统之间的同步控制问题.采用非线性反馈控制方法实现了3D混沌系统和单模激光Lorenz混沌系统之间的混沌同步.根据系统的稳定性理论,得到了非线性反馈控制器的结构和反馈控制增益的取值范围.仿真模拟的结果表明:目标系统和响应系统达到完全同步,两系统状态变量随时间的演化轨迹完全一致,并且误差变量经过短暂的时间序列以后始终平稳地趋于零.仿真模拟的结果证明了这种方法的有效性. 相似文献
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A novel tracking control and synchronization method is proposed based upon sampled-data feedback.This method can make a chaotic system approach any desired smooth orbit and synchronize the driving system and the response system,both in the same structure and in diverse structures.Finally,a numerical simulation with a Lorenz system is provided for the purpose of illustration and verification. 相似文献
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This Letter presents an adaptive neural network control method for the chaos control problem. Based on a single layer neural network, the dynamic about the unstable fixed period point of the chaotic system can be adaptively identified without detailed information about the chaotic system. And the controlled chaotic system can be stabilized on the unstable fixed period orbit. Simulation results of Henon map and Lorenz system verify the effectiveness of the proposed control method. 相似文献
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This Letter investigates chaos synchronization of chaotic and hyperchaotic systems. Based on finite-time stability theory, a simple adaptive control method for realizing chaos synchronization in a finite time is proposed. In comparison with previous methods, the present method is not only simple, but could also be easily utilized in application. Numerical simulations are given to illustrate the effectiveness and validity of the proposed approach. 相似文献
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Fatih Özkaynak 《Physics letters. A》2010,374(36):3733-3738
It is important to design cryptographically strong S-Boxes in order to design secure systems. In this study, a strong, chaos-based S-Box design is proposed. Continuous-time Lorenz system is chosen as the chaotic system. Proposed methodology is analyzed and tested for the following criteria: Bijective property, nonlinearity, strict avalanche criterion, output bits independence criterion and equiprobable input/output XOR distribution. The results of the analysis show that the proposed cryptosystem is a highly reliable system suitable for secure communication. 相似文献
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In this paper, the synchronization of a unified chaotic system is investigated by the use of output feedback controllers; a two-input single-output feedback controller and single-input single-output feedback controller are presented to synchronize the unified chaotic system when the states are not all measurable. Compared with the existing results, the controllers designed in this paper have some advantages such as small feedback gain, simple structure and less conservation. Finally, numerical simulations results are provided to demonstrate the validity and effectiveness of the proposed method. 相似文献
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In this paper, the synchronization of a unified chaotic system is
investigated by the use of output feedback controllers; a two-input
single-output feedback controller and single-input single-output
feedback controller are presented to synchronize the unified chaotic
system when the states are not all measurable. Compared with the
existing results, the controllers designed in this paper have some
advantages such as small feedback gain, simple structure and less
conservation. Finally, numerical simulations results are provided to
demonstrate the validity and effectiveness of the proposed method. 相似文献
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D.W. Lee 《Physics letters. A》2010,374(41):4231-4237
In this Letter, a high gain integral controller for synchronization of unknown non-autonomous chaotic systems is proposed. Perturbation theory is used to demonstrate that the synchronization error of the resulting feedback system converges to zero. Numerical simulations are presented to illustrate the effectiveness of the proposed method. 相似文献
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设计了一种同步控制器和参数识别器来实现异结构不确定混沌系统的同步控制。以单模激光Lorenz系统和不确定Genesio系统为例,验证了这种控制器的有效性。根据Lyapunov稳定性理论,分步构造出Lyapunov函数,从而给出同步控制器和参数识别器的结构。仿真结果表明:利用本文提出的同步控制方案,仅用一个控制器就能使不确定Genesio系统的所有状态变量严格地跟踪Lorenz系统的混沌轨迹,而且误差变量经过短暂的时间序列以后始终平稳地趋于零,实现了异结构混沌系统的混沌同步,且不确定Genesio系统的参数全部可以得到识别。 相似文献
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Exponential synchronization of chaotic Lur’e systems with time-varying delay via sampled-data control 下载免费PDF全文
In this paper, we study the exponential synchronization of chaotic Lur'e systems with time-varying delays via sampled-data control by using sector nonlinearties. In order to make full use of information about sampling intervals and interval time-varying delays, new Lyapunov-Krasovskii functionals with triple integral terms are introduced. Based on the convex combination technique, two kinds of synchronization criteria are derived in terms of linear matrix inequal- ities, which can be efficiently solved via standard numerical software. Finally, three numerical examples are provided to demonstrate the less conservatism and effectiveness of the proposed results. 相似文献