具有传输通道时间延迟的一类混沌系统脉冲控制同步

针对一类混沌系统同步控制问题,利用脉冲微分方程的稳定理论,研究了传榆信号具有时间延迟的混沌系统脉冲同步问题,给出了两个混沌系统实现全局渐进同步的判据方法。该方法仅采用具有时间延迟的驱动系统与响应系统输出偏差的线性反馈作为脉冲控制信号,驱动两个混沌系统达到全局渐进同步,且适用于绝大多数混沌系统的同步控制。所设计的控制器结构简单,收敛速度快,易于实现。Roessler混沌系统的仿真实验进一步验证了该方法的有效性和可行性。     

一个三维混沌系统的控制与同步

为了研究一个三维自治混沌系统的控制与同步问题,应用自适应控制方法研究混沌系统不稳定平衡点的镇定问题,得出了该系统关于平衡点渐近稳定的一个充分条件,并利用Lyapunov函数和LaSalle不变原理对结论给予了严格的证明.设计了一个较简单的控制器,采用非线性反馈控制方法研究了此混沌系统的错位同步问题,实现了响应系统和驱动系统之间的错位同步,并在Matlab上进行实例仿真.仿真结果表明自适应控制方法的快速有效性和错位同步的可实现性.     

Nonlinear dynamics of semiconductor lasers with mutual optoelectronic coupling

Mutually coupled oscillators are currently of great interest because of the important insight they provide into coupled physical, chemical, and biological systems. Two semiconductor lasers with optoelectronic feedback are used as two nonlinear oscillators, and the effect of mutual coupling on these lasers is found to be significant. Depending on the operating conditions, mutual coupling can act as a negative feedback to stabilize the coupled oscillators, or it can increase the complexity of the system inducing a highly complex chaos. A quasi-periodicity and period-doubling bifurcation, or a mix of them, is found in such a system. Although the chaotic waveforms are very complex with broad spectra, a high quality of synchronization between the chaotic waveforms is observed. Such synchronization is achieved because of the effect of mutual coupling and the symmetric design between the two lasers. It is found that the time delay of coupling plays an important role on the dynamics and synchronization in the mutually coupled semiconductor lasers.     

永磁同步电动机的混沌数学模型及其线性反馈同步控制

通过分析永磁同步电动机的非线性特性,推导出其对应的数学模型,对其进行复杂动力学分析后得出其是混沌数学模型的结论,从而将控制永磁同步电动机系统转化为对混沌系统的控制,用线性反馈同步控制方法对永磁同步电动机的三种运行状态进行控制,利用Matlab仿真达到了控制永磁同步电动机的目的。结果表明,利用线性反馈可以很好地消除混沌,使系统达到一个稳定的状态。该控制策略能有效地改善永磁同步电动机系统的动态性能,增强其鲁棒性与抗干扰能力。     

用参数不匹配混沌系统的脉冲同步方法抑制铁磁谐振过电压

根据非线性动力学理论和铁磁谐振的特性,提出一种新的抑制铁磁谐振的概念——用同步脉冲控制理论使过电压系统与正常工作的系统同步。通过Matlab软件仿真计算,表明该方法能有效实现谐振系统与正常系统的快速同步,大幅降低控制能量,并突破以往研究仅抑制混沌形态过电压的局限。同时,首次应用ATP-EMTP软件对采用脉冲抑制铁磁谐振的方法进行仿真,仿真结果同样验证了该理论的有效性。     

Adaptive function Q‐S synchronization of chaotic systems with unknown parameters

This work investigates the adaptive function Q‐S synchronization of non‐identical chaotic systems with unknown parameters. The sufficient conditions for achieving Q‐S synchronization with a desired scaling function of two different chaotic systems (including different dimensional systems) are derived based on the Lyapunov stability theory. By the adaptive control technique, the control laws and the corresponding parameter update laws are proposed such that the Q‐S synchronization of non‐identical chaotic systems is to be achieved. Finally, four illustrative numerical simulations are also given to demonstrate the effectiveness of the proposed scheme. Copyright © 2009 John Wiley & Sons, Ltd.     

存在扰动的永磁同步电机混沌运动模糊自适应同步

电机的混沌运动并不总是有害的,在某种特殊应用场合中永磁同步电机的混沌运动是有益的,因此需要对永磁同步电机的混沌运动进行反控制。提出了一种存在扰动的永磁同步电机（PMSM）混沌运动的模糊自适应同步控制方法。分析了PMSM混沌运动的吸引子和lyapunov指数谱,使模糊控制规则满足系统的lyapunov稳定条件,设计模糊自适应控制器对存在扰动的PMSM混沌系统进行同步控制,仿真结果表明该方法可实现PMSM混沌运动的同步控制,具有较好的控制效果。     

Unidirectionally coupled synchronization of optically injected semiconductor lasers

Three different synchronization scenarios, namely identical chaos synchronization, chaotic driven oscillation, and chaotic optical modulation, are experimentally observed for the chaotic optical fields generated by optically injected semiconductor lasers that are unidirectionally coupled. In this fully optical system, the channel signal is different from the output field of the transmitter laser by an additional injection optical field delivered by a master laser. In the case of identical chaos synchronization, the output field of the receiver is synchronized, and frequency locked, to that of the transmitter but is not synchronized to the channel signal. In chaotic driven oscillation, the output field of the receiver is synchronized, and frequency locked, to the channel signal but is not synchronized to the output field of the transmitter. In chaotic optical modulation, the output field of the receiver is synchronized, but not frequency locked, only to the channel signal. These three different synchronization scenarios are identified in the same optical-injection system under different operating conditions.     

利用状态观测器实现四涡卷超混沌同步保密通信

根据系统的稳定性理论,设计了实现超混沌完全同步的状态观测器。利用混沌之间的同步,构建了实现保密通信的技术路线。信号经过加密并被混沌掩盖后,发射给接收端。采用4阶Runge—Kutta方法,对提出的保密通信系统进行了数值仿真。仿真结果显示,超混沌系统和其同步接收器之间在5S内已实现了完全同步,在信道内传递的加密信号中,原始信号完全被混沌所掩盖,仿真结果证实了设计方案的有效性。     

混沌状态下Boost变换器参数误差的影响与控制

探讨了混沌状态下变换器对电路参数误差的敏感性,同时对两个具有细小电路误差的变换器进行了混沌同步控制。通过仿真实验,得出了运行在混沌状态下的Boost变换器对电路参数的细小变化极为敏感。因此,在研究混沌状态下Boost变换器的并联运行时,必须针对此敏感特性进行控制。提出了使用混沌同步的方法来抑制混沌状态下Boost变换器的敏感性影响,并设计了具体的控制策略。通过仿真实验,证明了该控制方法能有效抑制Boost变换器的敏感性影响。最后给出了研究结论。     

A chaotic circuit demo for communications

This article demonstrates the chaos synchronization as a laboratory experiment to support the fact that chaotic signals can be utilized for a secure communication system. This chaotic signal is obtained between transmitter and the receiver and the extractor circuit determines the BER. The chaos synchronization is used for coherent detection of message signal. The modulator-demodulator circuit is implemented with discrete components to study the effect of chaos extractor circuit and digital information signal. Thus the security is better at higher complexity level. The experiment shows the ability to achieve the chaos synchronization at the hardware level.     

采用模糊控制实现混沌系统的广义投影同步

研究了离散混沌系统的广义投影同步问题.基于Takagi-Sugeno(TS)模糊动态模型和Lyapunov稳定性理论,导出了离散混沌系统广义投影同步的一个充分条件.通过一些矩阵操作技巧,这个准则被转化为一组线性矩阵不等式形式.然后,这些线性矩阵不等式的求解可以用Matlab工具箱方便地解决.对Henon映射的数值模拟,仿真结果表明该方法的有效性.     

多涡卷混沌吸引子同步的双控制器

针对驱动系统与响应系统不同混沌状态的同步问题,提出了一种双控制器控制方法。依据Lyapunov稳定性理论,对两系统同步误差的稳定性进行了分析和证明,并对5涡卷与3涡卷、5涡卷与非混沌态Chua电路之间的同步进行了计算机数值仿真实验。结果表明,不受初始条件和参数差的限制,只要驱动系统是混沌状态,无论响应系统是混沌态还是非混沌态,该控制器都能有效地控制同步,并误差图和时序图显示出了双控制器可在2s内控制不同涡卷吸引子系统同步,在5s内能控制非混沌态的系统与混沌系统同步。     

Chaos from a current-programmed ćuk converter

The chaotic dynamics of a current-programmed ?uk converter having no voltage feedback is studied. an iterative map that describes the operation of the circuit is derived, from which a route to chaos similar to that from a ‘tent’ map is predicted. Computer simulation based on an exact piecewise switched model confirms the predicted route to chaos.     

Fixed time synchronization of delayed chaotic neural networks by using active adaptive control

This article aims to investigate the fixed time synchronization of a class of chaotic neural systems by way of adaptive control method. Using Lyapunov stability theory, a new fixed time stability theorem which plays an important role on the synchronization scheme is presented at first. Then, combining the fixed time stability theorem and adaptive control technique, an adaptive control scheme has been developed to achieve the fixed time synchronization of chaotic neural systems. The proposed controllers assure the global convergence of the error dynamics in fixed-time based on the Lyapunov stability theory. Furthermore, the proposed control strategy cannot only provide a fast convergence rate, but also afford a bounded convergence time which is unrelated to the initial values and easy to work out by using the simple time calculation formula. Finally, numerical simulations are presented by taking a typical two-order chaotic neural system as an example to verify and demonstrate the effectiveness of the proposed scheme.     

Some new algebraic criteria for chaos synchronization of Chua's circuits by linear state error feedback control

The research on the sufficient criterion for chaos synchronization of the master–slave Chua's circuits by linear state error feedback control has received much attention and some synchronization criteria for special control matrix were proposed. In this paper, the above synchronization issue is investigated in the situation of general linear state error feedback controller with propagation delay of control signals from the master Chua's circuit. First of all, a master–slave synchronization scheme for Chua's circuits with propagation delay is given and the relevant error system is derived. Using a quadratic Lyapunov function and frequency domain method, three new algebraic synchronization criteria for the synchronization scheme with general control matrix are proven. They are applied to derive the synchronization criteria for simple control matrices. Some examples are given to show the sharpness of these new criteria compared with the known criteria. Copyright © 2006 John Wiley & Sons, Ltd.     

The realization of inverse system for circuits containing nullors with applications in chaos synchronization

A very simple method for synthesizing the inverse system of a non-linear non-autonomous circuit containing nullors is proposed. The main application of the procedure is the synchronization of chaos by the inverse system approach. This is illustrated with two examples: the synchronization of a Duffing circuit and a communication scheme by direct chaotic modulation using Chua's circuit. © 1998 John Wiley & Sons, Ltd.     

Chaotifying a stable map via smooth small‐amplitude high‐frequency feedback control

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.     

Observers for a Class of Chaotic Systems

The design of observers for a class of practical physical chaotic systems is discussed. By using only one state variable and its time derivatives, a control law is constructed to achieve the synchronization between the investigated chaotic systems and their observers, and the results are proved theoretically. Several observers of chaotic systems are designed by using this method. Translated from “Observers for a Class of Chaotic Systems” published in Journal of Southwest China Normal University (Natural Science), 2004, 29(1): 53–57 (in Chinese)     

变型蔡氏电路的混沌保密通信

为了产生更复杂的混沌系统,使通信更安全可靠,设计了一种产生丰富混沌行为的变型蔡氏电路,并进行了理论分析和计算机仿真.在此基础上根据驱动-响应同步原理设计了混沌保密通信电路,以方波作为输入信号进行了相应的硬件实验研究,给出了通信系统中各元件的参数和各部分的波形.结果表明:电路实验结果与计算机模拟结果完全符合,并且在响应电路和驱动电路的元件参数一致,其相对误差小于1%的条件下,当输入方波信号频率在约8 kHz～9 MHz时,该变型蔡氏电路的混沌保密通信系统可以实现保密通信.