共查询到20条相似文献,搜索用时 15 毫秒
1.
In this paper,using feedback linearizing technique,we show that a Lorenz system can be considered as a cascade system.Moreover,this system satisfies the assumptions of global stabilization of casecade systems.Thus coninuous state feedback control laws are proposed to globally stabilize the Lorenz system at the equilibrium point.Simulation results are presented to verify our method.This method can be further generalized to other chaotic systems such as Chen system,coupled dynamos system,etc. 相似文献
2.
Synchronization of a hyperchaotic Lorenz system is discussed using
passive control. Based on the properties of a passive system, a
passive controller is designed and the synchronization between two
hyperchaotic Lorenz systems under different initial conditions is
realized. Simulation results show the proposed synchronization
method to be effective. 相似文献
3.
Synchronization of a noise-perturbed generalized Lorenz system by
using sliding mode control method is investigated in this paper. Two
sliding mode control methods are proposed to synchronize the
noise-perturbed generalized Lorenz system. Numerical simulations are
also provided for the illustration and verification of the methods. 相似文献
4.
考察了随机脉冲微分系统的p阶矩稳定性问题,在更符合脉冲系统一般假设的情况下,建立了条件更弱的随机脉冲微分系统p阶矩稳定性判定定理.并应用该判定定理,考察了参激白噪声作用下Lorenz系统的脉冲同步问题,证明了同步误差系统的p阶矩稳定性,从而说明在p阶矩的意义下,两个系统是可以用脉冲方法实现同步的.数值模拟验证了随机Lorenz系统脉冲同步的可行性.
关键词:
随机脉冲微分方程
p阶矩稳定性')" href="#">p阶矩稳定性
脉冲
同步 相似文献
5.
Impulsive control of stochastic system under the sense of stochastic asymptotical stability 总被引:2,自引:0,他引:2 下载免费PDF全文
This paper studies the stochastic asymptotical stability of stochastic impulsive differential equations,and estab-lishes a comparison theory to ensure the trivial solution’s stochastic asymptotical stability.From the comparison theory,it can find out whether the stochastic impulsive differential system is stable just by studying the stability of a deter-ministic comparison system.As a general application of this theory,it controls the chaos of stochastic L system using impulsive control method,and numerical simulations are employed to verify the feasibility of this method. 相似文献
6.
Based on the Lorenz chaotic system, this paper constructs a new four-dimensional hyperchaotic Lorenz system, and studies the basic dynamic behaviours of the system. The Routh--Hurwitz theorem is applied to derive the stability conditions of the proposed system. Furthermore, based on Lyapunov stability theory, an adaptive controller is designed and the new four-dimensional hyperchaotic Lorenz system is controlled at equilibrium point. Numerical simulation results are presented to illustrate the effectiveness of this method. 相似文献
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提出了一种实现异结构混沌系统反同步控制的方法。根据Lyapunov 稳定性理论给出控制器的结构。以单模激光Lorenz系统和Rossler系统为例,验证了这种控制器的有效性。进一步研究了不确定混沌系统的反同步,并以不确定单模激光Lorenz系统和Rossler系统为例,实现了混沌反同步控制,同时系统中不确定参数得到识别。仿真模拟结果验证了这种方法的有效性。设计的反同步控制方法可用于任意混沌系统,具有一定的普适性。 相似文献
9.
This paper is involved with the adaptive control and synchronization problems for an uncertain new hyperchaotic Lorenz system. Based on the Lyapunov stability theory, the adaptive control law is derived such that the trajectory of hyperchaotic Lorenz system with unknown parameters can be globally stabilized to an unstable equilibrium point of the uncontrolled system. Furthermore, an adaptive control approach is presented to the synchronizations between two identical hyperchaotic systems, particularly between two different uncertain hyperchaotic systems. Numerical simulations show the effectiveness of the presented method. 相似文献
10.
针对受参数不确定和外扰影响的混沌Lorenz系统,提出一种基于径向基函数(RBF)神经网 络的滑模控制方法.基于被控系统在不稳定平衡点处状态误差的可控规范形,设计滑模切换 面并将其作为神经网络的唯一输入.单入单出形式的RBF控制器隐层只需7个径向基函数,网 络的权值则依滑模趋近条件在线确定.仿真表明该控制器对系统参数突变和外部干扰具有鲁棒性,同时抑制了抖振.
关键词:
混沌控制
滑模
径向基函数神经网络
Lorenz系统 相似文献
11.
不确定单模激光Lorenz系统函数投影同步控制研究 总被引:1,自引:1,他引:0
基于Lyapunov稳定性理论,以不确定单模激光Lorenz系统作为驱动系统,不确定Chen系统作为响应系统,利用自适应控制方法,设计了非线性反馈控制器及参数识别器,使响应系统的所有状态变量严格地按函数比例跟踪驱动系统的混沌轨迹,并辨识出包括非线性项在内的驱动系统和响应系统的所有不确定参数。利用四阶龙格-库塔仿真模拟,结果表明了该方法的有效性,设计的函数投影同步控制的方法能更有效地提高保密通信的性能。 相似文献
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本论文研究了具有随机扰动和未知参数的Lorenz混沌系统, 其中随机扰动是一维标准Wiener随机过程. 基于随机李雅普洛夫稳定性理论、Itô (伊藤)公式以及自适应控制方法, 本文分别通过设置三个和两个控制器,从理论上提出了两个均方渐近自适应同步标准, 这些标准简单易行,不仅能使得随机扰动下的驱动系统和响应系统达到均方渐近同步, 而且能同时识别出系统中的未知参数. 最后的Matlab数值模拟验证了提出的理论结果的正确性和有效性.
关键词:
随机扰动Lorenz混沌系统
自适应同步
随机李雅普洛夫稳定性理论
参数识别 相似文献
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针对Lorenz混沌系统,研究其有限时间稳定控制问题.考虑系统存在不确定非线性,提出一种可使受控Lorenz系统实现近似有限时间稳定的控制方法.改进并设计一种扩张状态观测器,解决了受控Lorenz系统中不确定非线性未知问题.通过引入奇异扰动性理论,分析了闭环系统的近似有限时间稳定性.仿真实验结果验证了该控制方法及扩张状态观测器的有效性.
关键词:
Lorenz混沌系统
近似有限时间稳定
扩张状态观测器
奇异扰动 相似文献
17.
定义一个动态窗口,以Lorenz模型为预报方程,通过对落入动态窗口中的粒子数和平均预报X分量随积分时间演化规律的分析,从另一个角度初步研究了Lorenz系统的可预报性问题,并讨论了高斯白噪声对系统可预报性的影响.结果表明,落入动态窗口中的粒子数在一定程度上反映了系统的可预报性,处于不同区域的初值集合预报时限各不相同,且不同区域内的初值对于小扰动的敏感程度不一样;对于不同区域内的初值集合,高斯白噪声对系统的可预报时限的影响各不相同.
关键词:
可预报性
Lorenz
动态窗口 相似文献
18.
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
19.
频域传递函数近似方法不仅是常用的 分数阶混沌系统相轨迹的数值分析方法之一, 而且也是设计分数阶混沌系统电路的主要方法. 应用该方法首先研究了分数阶Lorenz系统的混沌特性, 通过对Lyapunov指数图、分岔图和数值仿真分析, 发现了其较为丰富的动态特性, 即当分数阶次从0.7到0.9以步长0.1变化时, 该分数阶Lorenz系统既存在混沌特性, 又存在周期特性, 从数值分析上说明了在更低维的Lorenz系统中存在着混沌现象. 然后又基于该方法和整数阶混沌电路的设计方法, 设计了一个模拟电路实现了该分数阶Lorenz系统, 电路中的电阻和电容等数值是由系统参数和频域传递函数近似确定的. 通过示波器观测到了该分数阶Lorenz系统的混沌吸引子和周期吸引子的相轨迹图, 这些电路实验结果与数值仿真分析是一致的, 进一步从物理实现上说明了其混沌特性.
关键词:
分数阶系统
Lorenz系统
分岔分析
电路实现 相似文献
20.
A chaotic system is bounded, and its trajectory is confined
to a certain region which is called the chaotic attractor. No matter how
unstable the interior of the system is, the trajectory never
exceeds the chaotic attractor. In the present paper, the sphere
bound of the generalized Lorenz system is given, based on the
Lyapunov function and the Lagrange multiplier method. Furthermore, we
show the actual parameters and perform numerical simulations. 相似文献