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1.
多源激励下双层隔振浮筏系统的线谱混沌化   总被引:2,自引:0,他引:2       下载免费PDF全文
张敬  徐道临  李盈利  周加喜 《物理学报》2014,63(18):180505-180505
采用混沌化技术可以重构水下航行器的水声线谱特征,改善隐声性能.基于这一特殊应用背景,研究了多源激励下双层隔振浮筏系统的非线性时延反馈混沌化问题.在二维简化浮筏系统模型的基础上,完整地呈现了非线性时延反馈控制的线谱混沌化方法,为隔振浮筏的线谱混沌化设计提供了标准流程.仿真结果表明了该方法的可行性,探讨了多源激励条件下控制增益、时延和反馈频率等控制参数对系统混沌化效果的影响,并与单源激励进行了对比分析.  相似文献   

2.
为了能实时而有效地辨识参数不确定的超混沌lü系统,以便于对该系统进行控制或跟踪,本文提出了一种基于Wiener模型自适应分段线性(PWL)滤波器的超混沌系统辨识方法.Wiener模型的线性部分采用了线性横向滤波器,非线性部分用分段线性滤波器近似表示.根据最小均方误差准则导出了滤波器参数更新算法,并进一步推导出算法的收敛性条件.计算机仿真证实了该自适应滤波器辨识超混沌系统的有效性.该方法不仅克服了自适应线性滤波器难以辨识出这类强非线性系统,而且比其他非线性自适应滤波器的计算复杂性低得多.  相似文献   

3.
离散混沌系统的最小能量控制   总被引:4,自引:0,他引:4       下载免费PDF全文
刘丁  钱富才  任海鹏  孔志强 《物理学报》2004,53(7):2074-2079
对于离散混沌系统的最小能量控制问题,提出了一种框架性方法,该方法具有通用性.首先,设计一个二次目标函数,同时把混沌系统分解为线性部分和非线性部分两项和.然后,提出了求解非线性最优控制问题的两级算法:第一级对混沌系统中的非线性部分进行预估,以使原系统变为带有常数项的线性系统;第二级用动态规划求解一个非典型线性二次最优控制问题,并把解返回第一级,第一级根据第二级的解对非线性部分重新预估.这样通过两级间不断的信息交换,最终得到混沌系统的最优控制律.该方法不仅实现了对混沌系统的控制,而且在整个控制过程中消耗的控制能量最小. 关键词: 混沌系统 两级优化 最优控制  相似文献   

4.
阎晓妹  刘丁 《物理学报》2010,59(5):3043-3048
提出了基于最小二乘支持向量机(LS-SVM)的分数阶混沌系统控制方法.基于分数阶线性系统稳定理论,通过线性分离的方法将系统分解为稳定的线性部分和相应的非线性部分,再利用支持向量机良好的非线性函数逼近和泛化能力设计了主动控制器,对非线性部分进行补偿,从而将分数阶混沌系统控制到平衡点.分别以分数阶Liu系统和分数阶Chen系统为例进行了仿真研究,表明该方法是有效和可行的.  相似文献   

5.
秦卫阳  孙涛  焦旭东  杨永锋 《物理学报》2012,61(9):90502-090502
非线性动力学系统的混沌同步, 一般采用单向线性耦合的控制方式, 对于函数耦合方式研究的比较少. 这就存在一个问题, 对于非线性动力学系统, 在线性耦合实现混沌同步后, 是否其他函数的耦合方式都可以实现混沌同步? 本文对于一类非线性动力学系统, 研究了其线性耦合同步与函数耦合同步的关系, 证明当线性耦合实现同步后, 函数在满足一定的条件下, 可以通过函数耦合实现系统的混沌同步. 最后对于Duffing系统采用两种函数耦合进行了仿真计算, 证明了结论的正确性.  相似文献   

6.
一个新的五阶超混沌电路及其研究   总被引:5,自引:0,他引:5       下载免费PDF全文
禹思敏  禹之鼎 《物理学报》2008,57(11):6859-6867
提出一个新的五阶超混沌电路. 该电路由三个线性电感、两个线性电容、一个线性负电阻和二个非线性元件组成,并具有π形的电路结构. 其主要特征是,利用非线性元件的作用来切换电路中的时间常数,使其电压和电流发生急剧变化. 利用负电阻可满足电路局部发散的条件,并且这种电压和电流的急剧变化以及局部发散是该电路产生混沌与超混沌的两个前提条件. 分岔和李雅普诺夫指数计算结果表明,随着分岔参数的改变,电路的振荡机理由周期态演变为混沌态,再由混沌态演变为超混沌态. 设计了五阶超混沌电路,给出了硬件实验结果. 关键词: 超混沌电路 超混沌吸引子 电路实验  相似文献   

7.
弦振动混沌实验装置主要由非线性振动平台、电子装置与电路系统、虚拟仪器3部分组成.实验装置利用NI myDAQ数据采集卡,结合LabVIEW虚拟仪器实现实时动态测量实验数据,结果与Matlab仿真模拟基本一致,可直观观察和定量研究该系统周期运动与混沌运动的相互转换过程.  相似文献   

8.
杨红  王瑞 《物理学报》2011,60(7):70508-070508
根据分数阶线性系统的稳定理论,将混沌系统分成稳定的线性部分和相应的非线性部分.设计主动控制器,对非线性部分进行补偿,从而将分数阶混沌系统控制到平衡点.为了提高主动控制器的补偿能力,提出基于反馈的多最小二乘支持向量机(M-LS-SVM)拟合模型.通过减聚类方法将输入空间划分为一些小的局部空间,在每个局部空间中用LS-SVM建立子模型.为解决子模型相互之间的严重相关问题,提高模型的精度和鲁棒性,各个子模型的预测输出通过主元递归(PCR)方法连接.仿真实验表明该方法有助于提高补偿精度和系统响应指标. 关键词: 分数阶 混沌系统 多最小二乘支持向量机 反馈  相似文献   

9.
基于区间系统理论的分数阶混沌系统同步   总被引:1,自引:0,他引:1       下载免费PDF全文
孙宁 《物理学报》2011,60(12):120506-120506
通过设计一个非线性反馈控制器,实现了分数阶混沌系统的同步.与其他的分数阶混沌系统同步方法相比,提出的控制器设计方法保留了部分误差系统中的非线性项,而没有完全抵消同步误差系统的非线性项,有效改善了误差系统的控制性能.同时,应用区间分数阶线性时不变系统稳定性原理和线性矩阵不等式技术,得到了一个新的分数阶混沌系统同步的充分条件,进而获得的控制器保证了混沌系统同步.仿真结果验证了提出方法的有效性. 关键词: 区间分数阶时不变系统 分数阶混沌系统 混沌同步  相似文献   

10.
基于最小二乘支持向量机的混沌控制   总被引:7,自引:0,他引:7       下载免费PDF全文
刘涵  刘丁  任海鹏 《物理学报》2005,54(9):4019-4025
利用支持向量机良好的非线性函数逼近和泛化能力,提出基于最小二乘支持向量机非线性补偿的混沌控制新方法.应用最小二乘支持向量机离线辨识混沌系统的非线性部分,并用辨识模型补偿系统的非线性,同时应用线性状态反馈控制混沌系统.对三种典型连续混沌系统的仿真研究表明,提出的控制方法可以有效的控制混沌系统到达设定的目标状态,并且由线性状态反馈控制器构成的闭环系统稳定. 关键词: 混沌控制 支持向量机 最小二乘支持向量机 状态反馈 稳定性  相似文献   

11.
In this paper the excited vibrations of a truly nonlinear oscillator are analyzed. The excitation is assumed to be constant and the nonlinearity is pure (without a linear term). The mathematical model is a second-order nonhomogeneous differential equation with strong nonlinear term. Using the first integral, the exact value of period of vibration i.e., angular frequency of oscillator described with a pure nonlinear differential equation with constant excitation is analytically obtained. The closed form solution has the form of gamma function. The period of vibration depends on the value of excitation and of the order and coefficient of the nonlinear term. For the case of pure odd-order-oscillators the approximate solution of differential equation is obtained in the form of trigonometric function. The solution is based on the exact value of period of vibration. For the case when additional small perturbation of the pure oscillator acts, the so called ‘Cveticanin's averaging method’ for a truly nonlinear oscillator is applied. Two special cases are considered: one, when the additional term is a function of distance, and the second, when damping acts. To prove the correctness of the method the obtained results are compared with those for the linear oscillator. Example of pure cubic oscillator with constant excitation and linear damping is widely discussed. Comparing the analytically obtained results with exact numerical ones it is concluded that they are in a good agreement. The investigations reported in the paper are of special interest for those who are dealing with the problem of vibration reduction in the oscillator with constant excitation and pure nonlinear restoring force the examples of which can be found in various scientific and engineering systems. For example, such mechanical systems are seats in vehicles, supports for machines, cutting machines with periodical motion of the cutting tools, presses, etc. The examples can be find in electronics (electromechanical devices like micro-actuators and micro oscillators), in music instruments (hammers in piano), in human voice producing folds (voice cords), etc.  相似文献   

12.
The vibration transmissibility characteristics of a single-degree-of-freedom (SDOF) passive vibration isolation system with different nonlinear dampers are investigated in this paper. In one configuration, the damper is assumed to be linear and viscous, and is connected to the mass so that it is perpendicular to the spring (horizontal damper). The vibration is in the direction of the spring. The second configuration is one in which the damper is in parallel with the spring but the damping force is proportional to the cube of the relative velocity across the damper (cubic damping). Both configurations are studied for small amplitudes of excitation, when some analysis can be conducted based on analytical expressions, and for large amplitudes of excitation, where the analysis is based on numerical simulations. It is found that the two nonlinear systems can outperform the linear system when force transmissibility is considered. However, for displacement transmissibility, the system with the horizontal damper exhibits some desirable properties, but the system with cubic damping does not.  相似文献   

13.
A precise operation of the position-sensing detectors (PSD) is exploited in this study. A position-sensing detector is modeled and the amplified output signal for this device as a result of input source current variation is studied. Beam displacement on such detectors is calculated and approximated and more accurate expressions for the generated signals are obtained. Linearity effect in output response of such a device is also investigated. The expansion coefficients for the signals are determined, which show the effect of the nonlinear terms. The first nonlinear coefficient is about 16.6% of the linear coefficient while the next terms are 2.5, 0.89, and 0.48% of the linear coefficient, respectively. For a position change of x=0.2 unit the linear term is 0.08, the third-order term −0.005328, and the fifth-order term is only about 0.000032, which is negligible. To see the operational result, using software simulates a PSD and the related circuit that provides the positional information.  相似文献   

14.
王兴元  张娜  任小丽  张永雷 《中国物理 B》2011,20(2):20507-020507
Coupled map lattices (CMLs) are taken as examples to study the synchronization of spatiotemporal chaotic systems.In this paper,we use the nonlinear coupled method to implement the synchronization of two coupled map lattices.Through the appropriate separation of the linear term from the nonlinear term of the spatiotemporal chaotic system,we set the nonlinear term as the coupling function and then we can achieve the synchronization of two coupled map lattices.After that,we implement the secure communication of digital image using this synchronization method.Then,the discrete characteristics of the nonlinear coupling spatiotemporal chaos are applied to the discrete pixel of the digital image.After the synchronization of both the communication parties,the receiver can decrypt the original image.Numerical simulations show the effectiveness and the feasibility of the proposed program.  相似文献   

15.
时培明  韩东颖  刘彬 《中国物理 B》2010,19(9):90306-090306
This paper studies the chaotic behaviours of a relative rotation nonlinear dynamical system under parametric excitation and its control. The dynamical equation of relative rotation nonlinear dynamical system under parametric excitation is deduced by using the dissipation Lagrange equation. The criterion of existence of chaos under parametric excitation is given by using the Melnikov theory. The chaotic behaviours are detected by numerical simulations including bifurcation diagrams, Poincar map and maximal Lyapunov exponent. Furthermore, it implements chaotic control using non-feedback method. It obtains the parameter condition of chaotic control by the Melnikov theory. Numerical simulation results show the consistence with the theoretical analysis. The chaotic motions can be controlled to period-motions by adding an excitation term.  相似文献   

16.
The acoustic radiation of vibrating bodies can usually be considered as a linear phenomenon as in most cases the vibration amplitudes of oscillating bodies are small compared to their dimension. However, in case of large amplitude and small Mach number, the large displacement amplitude of a vibrating body gives rise to geometric nonlinear acoustic effects. In this paper it is shown that the nonlinearity causes an asymmetry in the time signal of the radiated pressure as observed at a fixed position, resulting in harmonic distortion of the radiated sound field. These nonlinear effects can be analysed by the finite element method, using a linear fluid behaviour in combination with a moving mesh approach. This approach is implemented and used to predict the nonlinear sound radiation of lithographic stages oscillating at large amplitude and low Mach number. Acoustic experiments prove the validity of the analysis technique for the geometrical nonlinear phenomena. In addition the structural response of a nearby body excited by the nonlinear acoustic radiation of the stage is calculated and verified experimentally.  相似文献   

17.
In this paper we examine in detail the multiple responses of a novel vibrational energy harvester composed of a vertical bistable beam whose complex non-linear behavior is tuned via magnetic interaction. The beam was excited horizontally by a harmonic inertial force while mechanical vibrational energy is converted to electrical power through a piezoelectric element. The bistable laminate beam coupled to the piezoelectric transducer showed a variety of complex responses in terms of the beam displacement and harvested power output. The range of vibration patterns in this non-linear system included single-well oscillations and snap-through vibrations of periodic and chaotic character. Harvested power was found to be strongly dependent on the vibration pattern with nonlinearities providing a broadband response for energy harvesting. Wavelet analysis of measured voltage, displacement and velocity time histories indicated the presence of a variety of nonlinear periodic and also chaotic phenomena. To measure the complexity of response time series we applied phase portraits and determine stroboscopic points and multiscale entropy. It is demonstrated that by changing parameters such as the magnetic interaction, the characteristics of the bistable laminate harvester, such as the natural frequency, bandwidth, vibration response and peak power can be readily tailored for harvesting applications.  相似文献   

18.
Nonlinear evolution of two-dimensional convection patterns is considered for an incompressible binary mixture with negative Soret coupling in a horizontal layer subjected to finite-frequency vertical vibration of arbitrary amplitude. A numerical analysis is performed under impermeability conditions on rigid boundaries, which can be implemented in a laboratory experiment. The dependence of flow intensity on vibration amplitude is examined for the first and second resonance regions in the parameter space of thermal vibrational convection. The numerical results agree with the stability boundaries of equilibrium states predicted by linear theory. A qualitative difference in the dynamics of nonlinear oscillation is exposed between the regions corresponding to critical perturbations at the subharmonic and fundamental frequencies. Regular and chaotic dynamics, as well as hysteretic transitions between the fundamental and subharmonic modes, are revealed.  相似文献   

19.
秦洁  于洪洁 《物理学报》2007,56(12):6828-6835
通过对超混沌系统线性项与非线性项的适当分离配置,构造一个特殊的非线性耦合函数作为单元之间的耦合函数,提出非线性非对称耦合混沌同步方法,研究超混沌Rssler系统单元按照星形连接形式组成网络的同步问题.发现耦合强度在某一区域里存在着稳定的混沌同步现象.分析并讨论了不同参数在耦合过程中对混沌同步过程及其稳定性的影响.数值模拟结果证实该方法的有效性. 关键词: 超混沌同步 非线性耦合 R ssler系统 星形网络  相似文献   

20.
丁虎  严巧赟  陈立群 《物理学报》2013,62(20):200502-200502
研究了黏弹性轴向运动梁在外部激励和参数激励共同作用下横向振动的混沌非线性动力学行为. 引入有限支撑刚度, 并考虑黏弹性本构关系取物质导数, 同时计入由梁轴向加速度引起的沿径向变化的轴力, 建立轴向运动黏弹性梁横向非线性振动的偏微分-积分模型. 通过Galerkin截断方法研究了外部激励的频率和因速度简谐脉动引起的参数激励的频率在不可通约关系时轴向运动连续体的非线性动力学行为, 并对不同截断阶数的数值预测进行了对比. 基于对控制方程的Galerkin截断, 得到离散化的常微分方程组, 使用四阶Runge-Kutta方法求解. 基于此数值解, 运用非线性动力学时间序列分析方法, 通过Poincaré 映射, 观察到轴向运动梁随扰动速度幅值的倍周期分岔现象, 并比较了有无外部激励对倍周期分岔的影响. 分别在低速以及近临界高速运动状态下, 从相平面图、Poincaré 映射以及频谱分析的角度识别了系统中存在的准周期运动形态. 关键词: 轴向运动梁 非线性 混沌 分岔  相似文献   

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