共查询到20条相似文献,搜索用时 10 毫秒
1.
Wenguang Yu 《Physics letters. A》2010,374(30):3021-4235
This Letter investigates the stabilization of three-dimensional chaotic systems in a finite time. Based on the finite-time stability theory, a control law is proposed to realize finite-time chaos stabilization of three-dimensional chaotic systems. Several illustrative examples with numerical simulations are studied by using the results obtained in this Letter. Study of examples shows that our control methods work very well in stabilizing a class of chaotic systems in a finite time. 相似文献
2.
Adaptive stabilization of an incommensurate fractional order chaotic system via a single state controller
下载免费PDF全文
![点击此处可从《中国物理 B》网站下载免费的PDF全文](/ch/ext_images/free.gif)
In this paper, we investigate the stabilization of an incommensurate fractional order chaotic systems and propose a modified adaptive-feedback controller for the incommensurate fractional order chaos control based on the Lyapunov stability theory, the fractional order differential inequality and the adaptive control theory. The present controller, which only contains a single state variable, is simple both in design and in implementation. The simulation results for several fractional order chaotic systems are provided to illustrate the effectiveness of the proposed scheme. 相似文献
3.
Suwat Kuntanapreeda 《Physics letters. A》2009,373(32):2837-2840
This Letter focuses on the master-slave synchronization problem of the unified chaotic systems. Based on Lyapunov stability theory and linear matrix inequality (LMI) formulation, a simple linear feedback control law is obtained to make the state of two identical unified chaotic systems asymptotically synchronized. Simulation results have illustrated the effectiveness of the proposed chaos synchronization solution. 相似文献
4.
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
5.
6.
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
7.
The phenomenon of stochastic resonance (SR) is investigated for chaotic systems perturbed by white noise and a harmonic force. The bistable discrete map and the Lorenz system are considered as models. It is shown that SR in chaotic systems can be realized via both parameter variation (in the absence of noise) and by variation of the noise intensity with fixed values of the other parameters. 相似文献
8.
On a recursive method for the estimation of unknown parameters of partially observed chaotic systems
We investigate a recently proposed method for on-line parameter estimation and synchronization in chaotic systems. This novel technique has been shown effective to estimate a single unknown parameter of a primary chaotic system with known functional form that is only partially observed through a scalar time series. It works by periodically updating the parameter of interest in a secondary system, with the same functional form as the primary one but no explicit coupling between their dynamic variables, in order to minimize a suitably defined cost function. In this paper, we review the basics of the method, and investigate its robustness and new extensions. In particular, we study the performance of the novel technique in the presence of noise (either observational, i.e., an additive contamination of the observed time series, or dynamical, i.e., a random perturbation of the system dynamics) and when there is a mismatch between the primary and secondary systems. Numerical results, including comparisons with other techniques, are presented. Finally, we investigate the extension of the original method to perform the estimation of two unknown parameters and illustrate its effectiveness by means of computer simulations. 相似文献
9.
在混沌系统的同步控制中, 由于混沌系统对初始状态的敏感性, 一旦两个混沌系统的状态初值偏差大, 其状态同步往往需要高幅值的控制律来达到, 这给同步控制实现带来了困难, 并且在同步控制中, 两个混沌系统的初始值通常是未知的. 本文考虑控制输入受限情况下的混沌同步控制问题, 基于符号函数的近似表示式, 将受限的控制输入建模为连续可微的光滑函数, 在每一个采样点将同步控制误差系统近似为局部最优线性模型并设计连续型线性二次型调节器(LQR)最优控制律. 为降低混沌同步控制律的幅值和维持同步系统采样时刻之间的动态, 设计了等价的离散最优控制律, 并通过调整LQR性能加权矩阵值, 确保同步控制信号不会超出其受限的上界. 最后对统一混沌模型下的三种不同混沌系统同步控制进行了仿真研究. 仿真结果验证了方法的有效性.
关键词:
统一混沌模型
符号函数
输入受限
同步控制 相似文献
10.
Mohammad Saleh Tavazoei 《Physica A》2008,387(1):57-70
In this paper, we propose a controller based on active sliding mode theory to synchronize chaotic fractional-order systems in master-slave structure. Master and slave systems may be identical or different. Based on stability theorems in the fractional calculus, analysis of stability is performed for the proposed method. Finally, three numerical simulations (synchronizing fractional-order Lü-Lü systems, synchronizing fractional order Chen-Chen systems and synchronizing fractional-order Lü-Chen systems) are presented to show the effectiveness of the proposed controller. The simulations are implemented using two different numerical methods to solve the fractional differential equations. 相似文献
11.
Guangming Wang 《Physics letters. A》2010,374(28):2831-1670
This Letter investigates the stabilization and synchronization of Genesio-Tesi systems. Firstly, modifying the previous method, we stabilize the Genesio-Tesi system. Then, we synchronize two identical Genesio chaotic system by extending the obtained stabilization results. To the best of our knowledge, the above controllers obtained in this Letter are simpler than those obtained in the existing results. Finally, numerical simulations verify the effectiveness and the validity of the above theoretical results. 相似文献
12.
In this work, the previously proposed extended control regions (ECR) algorithm for targeting is improved by using individual neural networks for each activation region. The improved version, which exploits the short time predictability of the chaotic system more efficiently, gives better performance with respect to training time and average reaching time while maintaining the advantages of the previous method. Moreover, the simulation results revealed that the meaningful number of activation regions of the controller using improved ECR is nearly linearly related with the prediction horizon of the chaotic system to be targeted, which can be used as a criterion for choosing the number of activation region. 相似文献
13.
14.
15.
Based on the idea of unknown input observers (UIOs), this Letter considers the problem of chaos secure communication within the master-slave configuration. The unknown constant disturbance of parameters in chaotic systems and the unknown input in chaotic signals can be regarded as messages to be recovered in the slave end. If certain conditions are satisfied, we can recover all the unknown messages by designing the UIO based slave. Theoretical analysis and simulation results fully verify the effectiveness of the proposed scheme. 相似文献
16.
In this Letter, a drive-response synchronization method with linear output error feedback is presented for “generalized projective synchronization” of a class of fractional-order chaotic systems via a scalar transmitted signal. This synchronization approach is theoretically and numerically studied. By using stability theory of linear fractional-order systems, the suitable conditions for achieving synchronization are given. Two examples are used to illustrate the effectiveness of the proposed synchronization method. Numerical simulations coincide with the theoretical analysis. 相似文献
17.
Robust stabilization of state delayed discrete-time Takagi-Sugeno fuzzy systems with input saturation via an anti-windup fuzzy design
下载免费PDF全文
![点击此处可从《中国物理 B》网站下载免费的PDF全文](/ch/ext_images/free.gif)
We consider the robust stabilization problem for discrete-time Takagi-Sugeno(T-S) fuzzy systems with timevaried delays subjected to input saturation.We design static and dynamic anti-windup fuzzy controllers to ensure the convergence of all admissible initial states within the domain of attraction.Based on the project lemma and classical sector conditions,the conditions for the existence of solutions to this problem are obtained and expressed in terms of a set of linear matrix inequalities.Finally,a numerical example is provided to illustrate the effectiveness of the proposed design approach. 相似文献
18.
Nonlinear control theory is successfully extended to fractional-order Chen systems to achieve synchronization. The corresponding fraction-order numerical algorithms are established. The analytical results are derived based on the Laplace transformation theory. Moreover, numerical simulations are shown to verify the effectiveness of the proposed synchronization schemes. 相似文献
19.
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
20.
The effect of noise in inducing order on various chaotically evolving systems is reviewed, with special emphasis on systems
consisting of coupled chaotic elements. In many situations it is observed that the uncoupled elements when driven by identical
noise, show synchronization phenomena where chaotic trajectories exponentially converge towards a single noisy trajectory,
independent of the initial conditions. In a random neural network, with infinite range coupling, chaos is suppressed due to
noise and the system evolves towards a fixed point. Spatiotemporal stochastic resonance phenomenon has been observed in a
square array of coupled threshold devices where a temporal characteristic of the system resonates at a given noise strength.
In a chaotically evolving coupled map lattice with the logistic map as local dynamics and driven by identical noise at each
site, we report that the number ofstructures (a structure is a group of neighbouring lattice sites for values of the variable follow which the certain predefined pattern)
follows a power-law decay with the length of the structure. An interesting phenomenon, which we callstochastic coherence, is also reported in which the abundance and lifetimes of these structures show characteristic peaks at some intermediate
noise strength. 相似文献