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Heng-Hui Chen 《Physics letters. A》2008,372(11):1841-1850
This Letter introduces linear balanced feedback control scheme to design controller for the synchronization of two identical chaotic systems based on Lyapunov stability theory and constrained extreme approach. The technique is applied to synchronizing two identical four-scroll chaotic systems and guiding balanced feedback gains design. In accordance with the result of the analysis, an adaptive control scheme is proposed for chaos synchronization when the parametric variations of the response system are uncertain. The feasibility and effectiveness of the proposed synchronization scheme are verified via numerical simulations. 相似文献
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Rongwei Guo 《Physics letters. A》2008,372(34):5593-5597
A novel and simple adaptive feedback controller is proposed for chaos and hyperchaos synchronization. In comparison with previous methods, the present control scheme is not only simple but employs only one control strength, converges very fast and also suitable for a large class of chaotic and hyperchaotic systems. In addition, the synchronization is efficient in the presence of noise. Numerical simulations are used to validate and demonstrate the effectiveness of the method. 相似文献
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本文提出了一种新颖的有源backstepping控制设计方法用于实现两个相同R?ssler超混沌系统的同步,并进一步将该方法推广到实现Chua混沌系统和R?ssler超混沌系统的广义同步。由于该设计方法在控制器设计的每一步中都能将Lyapunov函数的选择和有源控制器的设计紧密地结合起来考虑,从而能根据工程实际灵活地构造出合适的控制器以满足系统控制要求,同时也为控制器的设计提供了一种系统的设计方法。这正是这种设计方法的最大优点。数值结果表明了本文所提出设计方法的可行性和有效性。 相似文献
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Choon Ki Ahn 《Pramana》2010,74(5):705-718
In this paper, we propose a new input-to-state stable (ISS) synchronization method for a general class of chaotic systems
with disturbances. Based on Lyapunov theory and linear matrix inequality (LMI) approach, for the first time, the ISS synchronization
controller is presented not only to guarantee the asymptotic synchronization but also to achieve the bounded synchronization
error for any bounded disturbance. The proposed controller can be obtained by solving a convex optimization problem represented
by the LMI. Simulation studies are presented to demonstrate the effectiveness of the proposed ISS synchronization scheme. 相似文献
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基于稳定性理论,采用间歇反馈控制研究了四维连续超混沌Rssler和LC振子系统.通过选择恰当的控制周期Ts、自治周期Ta以及反馈系数k来设计控制器.数值计算表明:所设计的控制器使系统经过大约8到35个时间单位达到了稳定点,两个系统之间经过大约15到50个时间单位实现了全局同步.通过求解系统Jacobi矩阵的特征值来确定Ts与Ta的关系,获得间歇控制下控制器稳定的条件.数值计算结果与理论分析一致.
关键词:
超混沌
同步
Jacobi矩阵
稳定性 相似文献
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This paper reports a new hyperchaotic system by adding an additional state variable into a three-dimensional chaotic dynamical system, studies some of its basic dynamical properties, such as the hyperchaotic attractor, Lyapunov exponents, bifurcation diagram and the hyperchaotic attractor evolving into periodic, quasi-periodic dynamical behaviours by varying parameter k. Furthermore, effective linear feedback control method is used to suppress hyperchaos to unstable equilibrium, periodic orbits and quasi-periodic orbits. Numerical simulations are presented to show these results. 相似文献
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《Physics letters. A》2006,357(3):209-212
Suppression of localized spatiotemporal chaos observed in one-dimensional coupled map lattice system is achieved using feedback control [P. Parmananda, Yu. Jiang, Phys. Lett. A 231 (1997) 159; P. Parmananda, M. Hildebrand, M. Eiswirth, Phys. Rev. E 56 (1997) 239]. The control is successful both for the frozen random pattern and defect chaotic diffusion pattern. This Letter introduces a new improved feedback control method. To compare with other methods of feedback control, this method can achieve stable state with less iteration steps and more simple calculation process. We prove the stability of the controlled result by calculating maximal Lyapunov exponent. And we also find that this method is robust to small disturbance. 相似文献
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Sixiao Kong 《中国物理 B》2021,30(11):110502-110502
By introducing a discrete memristor and periodic sinusoidal functions, a two-dimensional map with coexisting chaos and hyperchaos is constructed. Various coexisting chaotic and hyperchaotic attractors under different Lyapunov exponents are firstly found in this discrete map, along with which other regimes of coexistence such as coexisting chaos, quasi-periodic oscillation, and discrete periodic points are also captured. The hyperchaotic attractors can be flexibly controlled to be unipolar or bipolar by newly embedded constants meanwhile the amplitude can also be controlled in combination with those coexisting attractors. Based on the nonlinear auto-regressive model with exogenous inputs (NARX) for neural network, the dynamics of the memristive map is well predicted, which provides a potential passage in artificial intelligence-based applications. 相似文献
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By introducing a control strength matrix, the active control theory in chaotic synchronization is developed. With this extended method, chaos complete synchronization can be achieved more easily, i.e., a much smaller control signal is enough to reach synchronization in most cases. Numerical simulations on Rossler, Liu's four-scroll, and Chen system confirmed this and show that the synchronization result depends on the control strength significantly. Especially, in the case of Liu and Chen systems, the response systems' largest Lyapunov exponents' variation with the control strength is not monotone and there exist minima. It is novel for Chen system that the synchronization speed with a special small strength is higher than that of the usual active control which, as a special case of the extended method, has a much larger control strength. All these results indicate that the control strength is an important factor in the actual synchronization. So, with this extended active control, one can make a better and more practical synchronization scheme by adjusting the control strength matrix. 相似文献
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This paper is concerned with master-slave synchronization for two identical non-autonomous horizontal platform systems by using time-delay feedback control. Compared with some existing results on synchronization for horizontal platform systems, the effect of the time delay in the feedback control on master-slave synchronization is investigated. Applying a delay decomposition approach, some delay-dependent synchronization criteria are established and formulated in the form of linear matrix inequalities (LMIs). Sufficient conditions about the existence of a time delay feedback controller are derived by employing these newly obtained synchronization criteria. The controller gains can be achieved by solving a set of LMIs. One simulation example is given to illustrate the effectiveness of synchronization criteria and the design method. 相似文献
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《Physics letters. A》2001,284(1):31-42
In this Letter, a dynamical delayed output-feedback (DDOF) control strategy is proposed for stabilizing unstable periodic orbits (UPOs) of chaotic systems. Using the Floquet theory, a separation principle is established which gives a necessary and sufficient stability condition for DDOF UPO stabilizing control systems. The new principle shows that the so-called “odd number limitation” for delayed state-feedback control systems also applies to DDOF control. 相似文献
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《Physics letters. A》2002,298(1):18-28
We perform the stability and optimization analysis for the (non)delayed synchronization of Duffing-like oscillators, using a retroactive scheme. Stability boundaries are derived through Floquet theory. Critical values for the feedback synchronization coefficient are found. The influence of the delay and of the onset time of the driving upon stability and synchronization time is also analyzed. 相似文献
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Bidirectional chaos synchronization and communication in semiconductor lasers with optoelectronic feedback 总被引:1,自引:0,他引:1
Tao Deng Guang-Qiong Xia Liang-Ping Cao Xiao-Dong Lin Zheng-Mao Wu 《Optics Communications》2009,282(11):2243-23931
In this paper, a bidirectional chaos communication system based on the optoelectronic feedback semiconductor lasers (SLs) is presented, and the synchronization characteristics and the communication performances of such system are simulated numerically. The results show that the high-quality synchronization with zero lag time and simultaneous bidirectional message transmission can be realized under the suitable system parameters; the internal parameter mismatches of the lasers have influence on the synchronization quality and communication performance, but this system still possesses good robustness to parameter mismatches. Meanwhile, the security can be ensured through a suitable encoding-decoding technique. 相似文献
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Generalised synchronisation of spatiotemporal chaos using feedback control method and phase compression 下载免费PDF全文
Coupled map lattices are taken as examples to study the synchronisation of spatiotemporal chaotic systems. First, a generalised synchronisation of two coupled map lattices is realised through selecting an appropriate feedback function and appropriate range of feedback parameter. Based on this method we use the phase compression method to extend the range of the parameter. So, we integrate the feedback control method with the phase compression method to implement the generalised synchronisation and obtain an exact range of feedback parameter. This technique is simple to implement in practice. Numerical simulations show the effectiveness and the feasibility of the proposed program. 相似文献
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A.N. Njah K.S. Ojo G.A. Adebayo A.O. Obawole 《Physica C: Superconductivity and its Applications》2010,470(13-14):558-564
This paper generalizes the control and synchronization of chaotic dynamics in resistive–capacitive–inductive-shunted Josephson junction (RCLSJ) models via the backstepping nonlinear control theory. The method, which consists in a recursive approach that interlaces the choice of a Lyapunov function with the control, is used to design a generalized control function that is capable of controlling the chaotic dynamics exhibited by RCLSJ model to track desired dynamics. The result suggests that the generalized controller could be used as a device for tuning the junction signal into any desired form. The active backstepping technique is used to design a single control function that achieves generalized projective synchronization between two RCLSJ systems evolving from different initial conditions. This result suggests that the controller for generalized projective synchronization could be used to amplify the junction signal. Numerical simulation results show that the generalized control functions are effective in both the tracking control and generalized projective synchronization of RCLSJ models. 相似文献
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基于数学上延迟(时滞)系统Hopf分支理论及分析方法,解析地确定出 用延迟反馈法可控制三阶自治混沌系统的一般条件.利用这种分析方法,着重从理论上 讨论了在控制意义下系统出现稳定周期解及由Hopf分支产生周期解的分支方向的判据.将这 些理论应用到三阶自治混沌系统的控制实例中,解析地得到使系统可控的参量区域.在该区 域内选择控制参量,通过数值模拟也得到控制系统从混沌到周期态的结果.
关键词:
延迟反馈
Hopf分支
控制混沌 相似文献