共查询到20条相似文献,搜索用时 187 毫秒
1.
2.
Circuitry implementation of a novel four-dimensional nonautonomous hyperchaotic Liu system and its experimental studies on synchronization control 下载免费PDF全文
Based on the three-dimensional Liu chaotic system, this paper
appends a feedback variable to construct a novel hyperchaotic Liu
system. Then, a control signal is further added to construct a novel
nonautonomous hyperchaotic Liu system. Through adjusting the
frequency of the control signal, the chaotic property of the system
can be controlled to show some different dynamic behaviors such as
periodic, quasi-periodic, chaotic and hyperchaotic dynamic
behaviours. By numerical simulations, the Lyapunov exponent
spectrums, bifurcation diagrams and phase diagrams of the two new
systems are studied, respectively. Furthermore, the synchronizing
circuits of the nonautonomous hyperchaotic Liu system are designed
via the synchronization control method of single variable coupling
feedback. Finally, the hardware circuits are implemented, and the
corresponding waves of chaos are observed by an oscillograph. 相似文献
3.
Synchronization between two different noise-perturbed chaotic systems with unknown parameters 下载免费PDF全文
In this paper, a general method of synchronizing noise-perturbed chaotic systems with unknown parameters is proposed. Based on the LaSalle-type invariance principle for stochastic differential equations and by employing a combination of feedback control and adaptive control, some sufficient conditions of chaos synchronization between these noise-perturbed systems with unknown parameters are established. The model used in the research is the chaotic system, but the method is also applicable to the hyperchaotic systems. Unified system and noise-perturbed RSssler system, hyperchaotic Chen system and nolse-perturbed hyperchaotic RSssler system are taken for illustrative examples to demonstrate this technique.[第一段] 相似文献
4.
Control of fractional chaotic and hyperchaotic systems based on a fractional order controller 下载免费PDF全文
We present a new fractional-order controller based on the Lyapunov stability theory and propose a control method which can control fractional chaotic and hyperchaotic systems whether systems are commensurate or incommensurate.The proposed control method is universal, simple, and theoretically rigorous. Numerical simulations are given for several fractional chaotic and hyperchaotic systems to verify the effectiveness and the universality of the proposed control method. 相似文献
5.
针对受扰混沌系统,在参数未知的情形下利用自适应滑模控制法实现了驱动系统和响应系统的鲁棒同步. 该方法几乎适用于所有的混沌系统,且无需知道系统外部干扰的上界,它由自适应控制律实现. 以双涡卷系统、Lorenz系统、Rssler超混沌系统为例,说明该方法的有效性和正确性.
关键词:
混沌同步
滑模面
到达条件
自适应滑模控制 相似文献
6.
A novel methodology for constructing a multi-wing chaotic and hyperchaotic system with a unified step function switching control 下载免费PDF全文
This paper aims at developing a novel method of constructing a class of multi-wing chaotic and hyperchaotic system by introducing a unified step function. In order to overcome the essential difficulties in iteratively adjusting multiple parameters of conventional multi-parameter control, this paper introduces a unified step function controlled by a single parameter for constructing various multi-wing chaotic and hyperchaotic systems. In particular, to the best of the authors' knowledge, this is also the first time to find a non-equilibrium multi-wing hyperchaotic system by means of the unified step function control. According to the heteroclinic loop Shilnikov theorem, some properties for multi-wing attractors and its chaos mechanism are further discussed and analyzed. A circuit for multi-wing systems is designed and implemented for demonstration, which verifies the effectiveness of the proposed approach. 相似文献
7.
8.
《Physics letters. A》2006,360(2):274-278
Based on the characteristic of the chaotic or hyperchaotic system and linear feedback control method, synchronization of the two identical chaotic or hyperchaotic systems with different initial conditions is studied. The range of the control parameter for synchronization is derived. Simulation results are provided to show the effectiveness of the proposed synchronization method. 相似文献
9.
Mayank Srivastava Saurabh K. Agrawal Subir Das 《Central European Journal of Physics》2013,11(10):1504-1513
The article aims to study the reduced-order anti-synchronization between projections of fractional order hyperchaotic and chaotic systems using active control method. The technique is successfully applied for the pair of systems viz., fractional order hyperchaotic Lorenz system and fractional order chaotic Genesio-Tesi system. The sufficient conditions for achieving anti-synchronization between these two systems are derived via the Laplace transformation theory. The fractional derivative is described in Caputo sense. Applying the fractional calculus theory and computer simulation technique, it is found that hyperchaos and chaos exists in the fractional order Lorenz system and fractional order Genesio-Tesi system with order less than 4 and 3 respectively. The lowest fractional orders of hyperchaotic Lorenz system and chaotic Genesio-Tesi system are 3.92 and 2.79 respectively. Numerical simulation results which are carried out using Adams-Bashforth-Moulton method, shows that the method is reliable and effective for reduced order anti-synchronization. 相似文献
10.
11.
A new stability theory of nonlinear dynamic systems is
proposed, and a novel adaptive synchronisation method is presented
for fractional-order chaotic and hyperchaotic systems based on the
theory described in this paper. In comparison with previous methods,
not only is the present control scheme simple but also it employs
only one control strength, converges very fast, and it is also
suitable for a large class of fractional-order chaotic and
hyperchaotic systems. Moreover, this scheme is analytical and simple
to implement in practice. Numerical and circuit simulations are
used to validate and demonstrate the effectiveness of the method. 相似文献
12.
More and more attention has been payed to the hyperchaotic system for the huge potential applications of hyperchaotic system such as secure communication and more complex structure than chaotic system. So at present the controlling of the hyperchaotic system simply and effectively is a frontier topic of nonlinear science. In this Letter, for the latest hyperchaotic Lorenz system, four feedback control methods were studied with analytic solution and necessary numerical simulations. It is found that the enhancing feedback control approach is the best choice of the given four feedback control methods for its relatively simple external inputs and relatively small necessary feedback coefficient after comparison. The conclusion is a helpful for the choice of control methods of any other chaotic and hyperchaotic systems. 相似文献
13.
针对连续时间混沌(超混沌)系统的控制问题, 提出了一种基于扩张状态观测器的快速全线性广义预测控制算法. 利用线性扩张状态观测器估计和补偿混沌(超混沌)系统的非线性动力学和存在的不确定性, 将原始对象近似转化为积分器形式, 随后针对单积分器设计广义预测控制, 解决了预测控制计算量大的问题. 阶跃系数矩阵可以直接得到解析解, 而对于未来输出的预测则可以根据最近两个时刻的输出采样值直接计算得到, 避免了使用自校正算法和在线求解丢番图方程. 该线性算法可以直接应用于非线性对象的控制系统设计. 将该算法应用于典型Lorenz混沌系统的控制中, 数学仿真结果验证了有效性. 相似文献
14.
In this paper, a bidirectional
partial generalized (lag, complete, and anticipated) synchronization
of a class of continuous-time systems is defined. Then based on the
active control idea, a new systematic and concrete scheme is developed to achieve bidirectional partial generalized (lag, complete, and anticipated) synchronization between two chaotic systems or between chaotic and hyperchaotic systems. With the help
of symbolic-numerical computation, we choose the modified Chua system, Lorenz system, and the hyperchaotic
Tamasevicius-Namajunas-Cenys system to illustrate the proposed
scheme. Numerical simulations are used to verify the effectiveness
of the proposed scheme. It is interesting that partial chaos
synchronization not only can take place between two chaotic systems,
but also can take place between chaotic and hyperchaotic systems. The proposed
scheme can also be extended to research bidirectional partial
generalized (lag, complete, and anticipated) synchronization between
other dynamical systems. 相似文献
15.
16.
17.
Complete synchronization between two bi-directionally coupled chaotic systems via an adaptive feedback controller 下载免费PDF全文
In this paper, we apply a simple adaptive feedback control scheme to
synchronize two bi-directionally coupled chaotic systems. Based on
the invariance principle of differential equations, sufficient
conditions for the global asymptotic synchronization between two
bi-directionally coupled chaotic systems via an adaptive feedback
controller are given. Unlike other control schemes for
bi-directionally coupled systems, this scheme is very simple to
implement in practice and need not consider coupling terms. As
examples, the autonomous hyperchaotic Chen systems and the new
non-autonomous 4D systems are illustrated. Numerical simulations show
that the proposed method is effective and robust against the effect
of weak noise. 相似文献
18.
In this paper, we focus on the synchronization between integer-order chaotic systems and a class of fractional-order chaotic system using the stability theory of fractional-order systems. A new sliding mode method is proposed to accomplish this end for different initial conditions and number of dimensions. More importantly, the vector controller is one-dimensional less than the system. Furthermore, three examples are presented to illustrate the effectiveness of the proposed scheme, which are the synchronization between a fractional-order Chen chaotic system and an integer-order T chaotic system, the synchronization between a fractional-order hyperchaotic system based on Chen's system and an integer-order hyperchaotic system, and the synchronization between a fractional-order hyperchaotic system based on Chen's system and an integer-order Lorenz chaotic system. Finally, numerical results are presented and are in agreement with theoretical analysis. 相似文献
19.
Nonlinear feedback control of a novel hyperchaotic system and its circuit implementation 总被引:1,自引:0,他引:1 下载免费PDF全文
This paper reports a new hyperchaotic system by adding an
additional state variable into a three-dimensional chaotic dynamical
system. 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 are studied. An effective
nonlinear feedback control method is used to suppress hyperchaos to
unstable equilibrium. Furthermore, a circuit is designed to realize
this new hyperchaotic system by electronic workbench (EWB).
Numerical simulations are presented to show these results. 相似文献
20.
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