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1.
The impulsive control of chaotic systems, which are subjected to
unbounded exogenous perturbations, is considered. By using the
theory of impulsive differential equation together with the fuzzy
control technique, the authors propose an impulsive robust chaos
controlling criterion expressed as linear matrix inequalities
(LMIs). Based on the proposed control criterion, the procedure for
designing impulsive controllers of common (perturbed) chaotic
systems is provided. Finally, a numerical example is given to
demonstrate the obtained theoretical result. 相似文献
2.
3.
This Letter is concerned with the asymptotical stabilization problem of discrete chaotic systems by using a novel unified impulsive control scheme. Sufficient conditions for asymptotical stability of the impulsive controlled discrete systems are obtained by means of the Lyapunov stability theory and algebraic inequality techniques. Finally, numerical simulations on the Hénon and Ushio discrete chaotic systems are presented to illustrate the effectiveness and usefulness of the unified impulsive control scheme. 相似文献
4.
We propose an impulsive control scheme for fractional-order chaotic systems. Based on the Takagi-Sugeno (T-S) fuzzy model and linear matrix inequalities (LMfs), some sufficient conditions are given to stabilize the fractional-order chaotic system via impulsive control. Numerical simulation shows the effectiveness of this approach. 相似文献
5.
We mainly investigate the issues of fuzzy modeling and impulsive control of a memristor-based chaotic system and present a memristor-based chaotic system as the Takagi-Sugeno model-based fuzzy system. Then, based on the impulsive control theory of dynamical systems, a criterion ensuring impulsive stabilization of the memristorbased chaotic system is derived for the first time. An illustrative example is given to verify the effectiveness of the control scheme. 相似文献
6.
The permanent magnet synchronous motors (PMSMs) may experience chaotic behaviours with systemic parameters falling into a certain area or under certain working conditions, which threaten the secure and stable operation of motor-driven. Hence, it is important to study the methods of controlling or suppressing chaos in PMSMs. In this work, the Takagi-Sugeno (T-S) fuzzy impulsive control model for PMSMs is established via the T-S modelling methodology and impulsive technology. Based on the new model, the control conditions of asymptotieal stability and exponential stability for PMSMs have been derived by the Lyapunov method. Finaily, an illustrated example is also given to show the effectiveness of the obtained results. 相似文献
7.
In this paper, an approach to the control of continuous-time
chaotic systems is proposed using the Takagi--Sugeno (TS) fuzzy model and adaptive
adjustment. Sufficient conditions are derived to guarantee chaos
control from Lyapunov stability theory. The proposed approach
offers a systematic design procedure for stabilizing a large class
of chaotic systems in the literature about chaos research. The
simulation results on R\"{o}ssler's system verify the
effectiveness of the proposed methods. 相似文献
8.
Adaptive projective synchronization of unified chaotic systems and its application to secure communication
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In this paper, a simple adaptive linear feedback control method is proposed for controlling the scaling factor between two coupled unified chaotic systems to a desired value, based on the invarianee principle of differential equations. Under this control strategy, one can arbitrarily select the scaling factor. Numerical simulations are given to support the effectiveness of the proposed method and show the robustness against noise. Furthermore, a secure communication scheme based on the adaptive projective synchronization of unified chaotic systems is presented and numerical simulation shows its feasibility.[第一段] 相似文献
9.
Exponential synchronization of stochastic impulsive perturbed chaotic Lur''e systems with time-varying delay and parametric uncertainty
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This paper is devoted to investigating the scheme of exponential synchronization for uncertain stochastic impulsive perturbed chaotic Lur'e systems. The parametric uncertainty is assumed to be norm bounded. Based on the Lyapunov function method, time-varying delay feedback control technique and a modified Halanay inequality for stochastic differential equations, several sufficient conditions are presented to guarantee the exponential synchronization in mean square between two identical uncertain chaotic Lur'e systems with stochastic and impulsive perturbations. These conditions are expressed in terms of linear matrix inequalities (LMIs), which can easily be checked by utilizing the numerically efficient Matlab LMI toolbox. It is worth pointing out that the approach developed in this paper can provide a more general framework for the synchronization of multi-perturbation chaotic Lur'e systems, which reflects a more realistic dynamics. Finally, a numerical example is provided to demonstrate the effectiveness of the proposed method. 相似文献
10.
This paper presents a novel approach to hyperchaos control of
hyperchaotic systems based on impulsive control and the
Takagi--Sugeno (T--S) fuzzy model. In this study, the hyperchaotic
Lü system is exactly represented by the T--S fuzzy model and an
impulsive control framework is proposed for stabilizing the
hyperchaotic Lü system, which is also suitable for classes of
T--S fuzzy hyperchaotic systems, such as the hyperchaotic
R?ssler, Chen, Chua systems and so on. Sufficient conditions for
achieving stability in impulsive T--S fuzzy hyperchaotic
systems are derived by using Lyapunov stability theory in the form
of the linear matrix inequality, and are less conservative in
comparison with existing results. Numerical simulations are
given to demonstrate the effectiveness of the proposed method. 相似文献
11.
Projective Synchronization in Drive--Response Networks via Impulsive Control 总被引:1,自引:0,他引:1
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Impulsive projective synchronization in 1 +N coupled chaotic systems are investigated with the drive-response dynamical network (DRDN) model. Based on impulsive stability theory, some simple but less conservative criteria axe achieved for projective synchronization in DRDNs. Furthermore, impulsive pinning scheme is also adopted to direct the scaring factor onto the desired value. Numerical simulations on generalized chaotic unified system axe illustrated to verify the theoretical results. 相似文献
12.
以光滑三次型磁控忆阻器的蔡氏电路为例, 研究了两个同构忆阻混沌系统的脉冲控制同步方法.基于Lyapunov稳定性理论, 给出了忆阻混沌系统的脉冲同步渐近稳定条件; 结合误差系统的最大条件Lyapunov指数谱, 讨论了系统初值对脉冲同步性能的影响, 并进行了相应的数值仿真实验.结果表明, 在合适的脉冲控制参数条件下, 同构的忆阻混沌系统的脉冲同步是可行而有效的; 忆阻混沌系统的初值对脉冲同步性能存在一定的影响, 但可通过增大脉冲耦合强度来抑制系统初值的影响. 相似文献
13.
This paper investigates the synchronization of complex systems with delay that are impulsively coupled at discrete instants only. Based on the comparison theorem of impulsive differential system, a distributed impulsive control scheme is proposed to achieve the synchronization for systems with delay. In the control strategy, the influence of all nodes to network synchronization relies on its weight. The proposed control scheme is applied to the chaotic delayed Hopfield neural networks and numerical simulations are presented to demonstrate the effectiveness of the proposed scheme. 相似文献
14.
Decentralized state-feedback chaotification method of discrete Takagi-Sugeno fuzzy systems
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A new chaotification method is proposed for making an arbitrarily given discrete Takagi-Sugeno (TS) fuzzy system chaotic. Based on a given discrete TS fuzzy system, the new chaotification method uses the decentralized state-feedback control and the continuous sawtooth function, instead of the modulo operation, to construct a chaotic nonlinear system,which can generate discrete chaos with the arbitrarily desired amplitude bound. We apply the improved Marotto theorem to mathematically prove that the controlled system is chaotic in the sense of Li and Yorke. In particular, an explicit formula for the computation of chaotification parameters is obtained. A numerical example is used to illustrate the theoretical results. 相似文献
15.
This paper reports that an impulsive control theory for synchronization of nonlinear
R?ssler chaotic systems is developed. A new framework for impulsive
synchronization between such chaotic systems is presented, which makes the
synchronization error system a linear impulsive control system. Therefore, it is
easy to derive the impulsive synchronization law. The proposed impulsive control
scheme is illustrated by nonlinear R?ssler chaotic systems and the simulation
results demonstrate the effectiveness of the method. 相似文献
16.
The projection of the chaotic attractor observed from the Lorenz system in the
$X$--$Z$ plane is like a butterfly, hence the classical Lorenz system is widely
known as the butterfly attractor, and has served as a prototype model for studying
chaotic behaviour since it was coined.In this work we take one step further to
investigate some fundamental dynamic behaviours of a novel hybrid Takagi--Sugeno
(TS) fuzzy Lorenz-type system, which is essentially derived from the
delta-operator-based TS fuzzy modelling for complex nonlinear systems, and contains
the original Lorenz system of continuous-time TS fuzzy form as a special case. By
simply and appropriately tuning the additional parametric perturbations in the
two-rule hybrid TS fuzzy Lorenz-type system, complex (two-wing) butterfly attractors
observed from this system in the three dimensional (3D) $X$--$Y$--$Z$ space are
created, which have not yet been reported in the literature, and the forming
mechanism of the compound structures have been numerically investigated. 相似文献
17.
YU Yong-Bin ZHANG Hong-Bin ZHANG Feng-Li YU Jue-Bang LIAO Xiao-Feng 《理论物理通讯》2009,51(5):869-875
Lorenz systems family unifying Lorenz system, Chen system and Lü system is a typical chaotic family. In this paper, we consider impulsive control Lorenz chaotic systems family with time-varying impulse intervals. By establishing an effective tool of a set of inequalities, we analyze the asymptotic stability of impulsive control Lorenz systems family and obtain some new less conservative conditions. Based on the stability analysis, we design a novel impulsive controller with time-varying impulse intervals. Illustrative examples are provided to show the feasibility and effectiveness of our method. The obtained results not only can be used to design impulsive control for Lorenz systems family, but also can be extended to other chaotic systems. 相似文献
18.
《Physics letters. A》2006,356(1):51-58
The Lü attractor is a new chaotic attractor, which connects the Lorenz attractor and the Chen attractor and represents the transition from one to the other. The Letter presents a hybrid TS fuzzy modeling approach for the newly coined chaotic Lü system. Then the abundant and fundamental dynamical behaviors of the chaotic Lü system are completely and comprehensive investigated based on this novel hybrid TS fuzzy model. 相似文献
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20.
基于支持向量机强大的非线性映射能力和模糊逻辑易于将先验的系统知识结合到模糊规则的 特性, 根据混沌动力系统的相空间重构理论, 提出了一种混沌时间序列的模糊模型的支持向 量机预测模型,并采用适用于大规模问题求解的最小二乘法来训练预测模型,利用该模型分别 对模型的整体预测性能与嵌入维数及延迟时间的关系进行了探讨.最后利用Mackey-Glass时 间序列和典型的Lorenz系统生成的时间序列对该模型进行了验证,结果表明该预测模型不仅 能够自动的从学习数据中获取知识产生模糊规则,提取能够代表混沌时间序列内在规律的支 持向量,大大减少支持向量的数目,精确地预测未来的混沌时间序列,而且在混沌时间序列 的嵌入维数未知和延迟时间不能合理选择的情况下,也能取得比较好的预测效果.这一结论预 示着基于模糊模型的支持向量机是一种研究混沌时间序列的有效方法.
关键词:
模糊模型
混沌时间序列
支持向量机
最小二乘法 相似文献