Chaos Control for a Single Pendulum Damping System with Proper Random Phase Under Forced Oscillation

This paper deals with the effect of phase of a Gaussian white noise for a single pendulum system with damping. Based on the Khasminskii’s formulation of spherical coordinate and the extension of Wedig’s algorithm for linear stochastic system, the largest Lyapunov exponent is computed. Due to the change of the sign for the largest Lyapunov exponent, the chaotic behavior of the system is suppressed. Also Poincaré surface of section, phase portrait and the time evolution are analyzed to confirm the stability of the system, which demonstrates the above control methods are effective.     

基于随机输入的束匀滑位相板研究

根据随机畸变激光波前入射确定束匀滑位相板的模型,利用随机理论分析了光束通过位相屏后的传输特性、透射光远场分布的统计均值和方差.通过计算得知远场分布的方差与位相屏的傅里叶谱的平方成正比.利用数值模拟计算了随机生成的两个波前分别通过两个位相屏后的远场分布,模拟结果证实了位相屏用于随机相位畸变激光束匀滑的可行性,并显示了匀滑效果.     

基于随机输入的束匀滑位相板研究

根据随机畸变激光波前入射确定束匀滑位相板的模型,利用随机理论分析了光束通过位相屏后的传输特性、透射光远场分布的统计均值和方差.通过计算得知远场分布的方差与位相屏的傅里叶谱的平方成正比.利用数值模拟计算了随机生成的两个波前分别通过两个位相屏后的远场分布,模拟结果证实了位相屏用于随机相位畸变激光束匀滑的可行性,并显示了匀滑效果.     

局部相空间压缩实现对时空混沌和螺旋波的控制

采用相空间压缩方法研究时空混沌和螺旋波系统的抑制问题.以局部控制方式将系统变量的幅值限制在一定范围内,对CO在Pt(110)表面氧化模型(Fitzhugh-Nagumo方程)与心肌组织模型(Panfilov方程)的数值研究表明:无论是否存在外界噪声,该方案都可以消除螺旋波和时空混沌;尤其是存在噪声时,相空间压缩控制暂态过程会更短,系统很快达到稳定均匀态(从几个到几十个时间单位).     

机动平台光电跟踪系统的自抗扰控制研究

针对机动平台光电跟踪系统跟踪目标需具备较强动态抗扰能力的问题,提出了一种将包含了非线性跟踪微分器、扩张状态观测器、非线性状态误差反馈三个环节的结构完整的自抗扰控制器用于光电跟踪伺服系统的速度环的思路。针对某单轴稳定转台设计了二阶自抗扰控制器,并进行了仿真研究。结果表明,该控制器对外扰变化及系统模型不确定性具有良好的鲁棒性和适应性,且能有效抑制系统中存在的非线性因素的影响。     

动态混沌扰动遗传算法的振动模糊高光谱图像复原

高光谱图像具有较高的光谱分辨率和空间分辨率,从而具备区分诊断地物光谱特性的能力,但是在获取高光谱图像时,经常会由于载荷平台的振动,导致光谱图像失真,严重影响光谱图像在应用中的精度和可信度.提出一种能够将振动模糊高光谱图像复原的动态混沌扰动遗传算法,该算法对比于普通的遗传算法,不会出现过早收敛,能够较准确的恢复图像,提高...     

自抗扰控制技术在高低温环境模拟系统中的应用

针对现有健康状态评估方法主观性较强,准确度不高等问题,提出一种基于DSmT理论和模糊综合评判的健康状态评估模型。首先,确定评估对象的评价指标体系,对采集的原始数据进行预处理;然后利用模糊综合评判理论确定广义基本信度赋值;接着采用DSmT融合规则对广义基本信度赋值合成,得到健康状态等级。对于多级的系统评估,可将融合后的结果作为新的广义基本信度赋值进行DSmT融合。实例验证表明,该状态评估模型能够准确有效地实现对系统的健康状态评估,而且能够克服高冲突证据的融合问题,具有良好的应用价值。     

基于自抗扰算法的“动中通”系统控制策略

动中通”(SOTM)伺服控制系统通常采用三闭环PID控制策略进行控制器的设计;然而,由于系统扰动和系统时变性参数的存在,传统PID算法难以保证“动中通”系统稳定、可靠地工作;针对传统控制策略的弊端,建立了“动中通”系统数学模型,并提出了一种基于自抗扰(ADRC)算法的双闭环控制策略;仿真实验表明,基于ADRC的双闭环控制策略不仅具有更快的响应速度和更高的控制精度,还有更强的鲁棒性,能有效地弱化系统扰动的影响,满足“动中通”系统的功能需求。     

基于WOA-ESN的电机系统混沌振荡预测

提出一种将鲸鱼优化算法(WOA)与回声状态网络算法(ESN)结合的WOA-ESN预测方法, 并将此方法应用到永磁同步电机(PMSM)的混沌振荡预测, 进行实验仿真并和其他预测算法比较, 证明所提出方法拥有更高的预测精度。     

Modelling of Phase Change Heat Transfer System for Micro-channel and Chaos Simulation

The dynamic properties for the micro-channel phase change heat transfer system are studied by theoretical method combined with experiment. Liquid-vapour interface dynamic systems are obtained by introducing disjoining pressure produced by three phase molecular interactions and Lie algebra analysis. Experiments for 0.6 mm×2 mm rectangular micro-channel are carried out to obtain the pressure time serials. Power spectrum density analysis for these serials shows that the system is in chaotic state if the frequency is above 7.39 Hz. The result indicates that the high heat transfer performance of the micro channel phase change system may relate to the characteristics of chaos, The chaos attractor is drawn by the simulation of the obtained differential dynamic system under the conditions of our experiment.     

基于双随机相位编码的彩色图像加密技术

为了实现仅用两个密钥对彩色图像进行加密,提出了一种基于光栅调制的彩色图像加密方法.该方法首先把彩色图像分成三基色分量:红,绿,兰.然后,把这三帧灰度图像分别用空间频率不同正弦振幅光栅调制,之后,再把调制结果进行叠加而形成一个实值目标图像,该目标图像包含了原始彩色图像的全部信息.对此目标图像进行双随机相位加密系统的加密,即实现了彩色图像的加密隐藏.由于正弦光栅的调制作用,R、G、B灰度图像的频谱在实值目标图像的频谱中分离开来,通过选取合适的滤波窗口,就可以对他们的频谱分别提取并予以重建,并最终实现重构原始彩色图像.本文给出了理论分析和计算机模拟,实验结果证实了该方法的可行性.     

基于随机相位实值编码的光学图像加密

提出了一种用于图像加密的随机相位实值编码方法,待编码的纯相位图像与一个随机相位掩膜一起作傅里叶变换,取其实部作为编码图像.已编码的图像和随机相位掩膜的傅里叶变换相加作傅里叶反变换,反变换的光强可以准确地重建原图像.该编译码方法简单,编码图像是一个实值图像,便于计算机打印或显示输出.     

声光双稳系统混沌的控制

对声光双稳系统的混沌态提出参数连续延时反馈的控制技术。数值分析表明，在一定的控制强度下，这种控制使系统在原混沌区具有负的最大李亚普诺夫指数，并且能够保证控制的目标状态是原系统的失稳不动点中稳定周期轨道。文章通过与实验结果的比较，验证了本控制方法的有效性。     

A New Approach for Controlling Chaos Based on Direct Optimizing Predictive Control

We introduce the predictive control theory into the study of chaos control and propose a direct optimizing predictive control algorithm based on a neural network model. The proposed control system stabilizes the chaotic motion in an unknown chaotic system onto the desired target trajectory. Compared with the existing similar algorithms, the proposed control system has faster response, so it requires much shorter time for the stabilization of the chaotic systems.The proposed approach can control hyperchaos and the algorithm is simple. The convergence of the control algorithm and the stability of the control system can be guaranteed. The theoretic analysis and simulations demonstrate the effectiveness of the algorithm.     

基于随机数据元扩张的大气湍流相位屏数值模拟

准确模拟大气湍流相位屏是建立大气湍流数值模型的核心问题。从大气湍流的统计学特性入手,利用大气湍流波前相位结构函数建立了一种新的大气湍流相位屏数值模拟方法,通过随机数据元扩张对大气湍流波前畸变相位分布的尺度随机性和高频分量随机性进行了模拟,并以此为基础通过相位屏近似构建了满足Kolmogorov统计规律的大气湍流数值模型。计算结果表明,随机数据元扩张法生成的相位屏在统计特性上与理论值基本吻合,在低频部分相对于功率谱反演法有明显的提升。同时,随着相位屏网格数的增加,计算结果的高频特性逐渐呈现并逼近理论值。对于由相位屏构建的大气湍流数值模型,在此通过光强闪烁率作为判据进行了验证,结果表明对于弱湍流和中等强度的湍流,模拟结果与理论计算基本相同;对于强湍流则误差较为明显,相对误差最大可达40%。     

基于像素置乱技术的多重双随机相位加密法

提出一种基于像素置乱技术的多重双随机相位加密法,对该加密法中像素置乱操作的原理进行了阐述,并且提出在光学上实现像素置乱操作和解置乱操作的途径.在计算机上模拟实现了该加密法,并且得到很好的加密解密结果.仿真结果证实仅用部分加密图像来解密也能够得到原图像,并且得到随着待解密的加密图像像素的增加,解密图像的信号能量、噪声以及信噪比的变化曲线.最后分析比较了该加密法与双随机相位加密法,得到该加密法与双随机相位加密法相比具有更高的保密性,而且解密图像的信噪比也不会因为引入像素置乱操作而降低.     

混沌加密的虹膜识别系统的安全性

提出了针对特征码的单向耦合映像格混沌加密系统,以及Arnold变换与单向耦合映像格混沌系统相结合对虹膜信息进行加密的复合混沌加密系统.利用Arnold变换置乱并混淆虹膜图像,通过镜像解决零点不变性问题,最后通过单向耦合映像格混沌系统实现加密.实验表明本算法密钥空间大,统计特性好,密钥敏感性强,加密速度快,平均加密时间70 ms.     

The Effect of Spin-Orbit Coupling and Spin-Spin Coupling of Compact Binaries on Chaos

There are spin-orbit interaction and spin-spin interaction in a generic post-Newtonian Lagrangian formulation of comparable mass spinning compact binaries. The spin-orbit coupling or the spin-spin coupling plays a quite important role in changing the evolution of the system and may sometime cause chaotic behavior. How do the two types of couplings exert together any influences on chaos in this formulation? To answer it, we simply take the Lagrangian formulation of a special binary system, including the Newtonian term and the leading-order spin-orbit and spin-spin couplings. The key to this question can be found from a Hamiltonian formulation that is completely identical to the Lagrangian formulation. If the Lagrangian does not include the spin-spin coupling, its equivalent Hamiltonian has an additional term(i.e. the next-order spin-spin coupling) as well as those terms of the Lagrangian. The spin-spin coupling rather than the spin-orbit coupling makes the Hamiltonian typically nonintegrable and probably chaotic when two objects spin. When the leading-order spin-spin coupling is also added to the Lagrangian, it still appears in the Hamiltonian.In this sense, the total Hamiltonian contains the leading-order spin-spin coupling and the next-order spin-spin coupling,which have different signs. Therefore, the chaos resulting from the spin-spin interaction in the Legrangian formulations is somewhat weakened by the spin-orbit coupling.     

The Effect of Spin-Orbit Coupling and Spin-Spin Coupling of Compact Binaries on Chaos

There are spin-orbit interaction and spin-spin interaction in a generic post-Newtonian Lagrangian formu-lation of comparable mass spinning compact binaries. The spin-orbit coupling or the spin-spin coupling plays a quite important role in changing the evolution of the system and may sometime cause chaotic behavior. How do the two types of couplings exert together any influences on chaos in this formulation? To answer it, we simply take the Lagrangian formulation of a special binary system, including the Newtonian term and the leading-order spin-orbit and spin-spin couplings. The key to this question can be found from a Hamiltonian formulation that is completely identical to the Lagrangian formulation. If the Lagrangian does not include the spin-spin coupling, its equivalent Hamiltonian has an additional term (i.e. the next-order spin-spin coupling) as well as those terms of the Lagrangian. The spin-spin coupling rather than the spin-orbit coupling makes the Hamiltonian typically nonintegrable and probably chaotic when two objects spin. When the leading-order spin-spin coupling is also added to the Lagrangian, it still appears in the Hamiltonian. In this sense, the total Hamiltonian contains the leading-order spin-spin coupling and the next-order spin-spin coupling, which have different signs. Therefore, the chaos resulting from the spin-spin interaction in the Legrangian formulations is somewhat weakened by the spin-orbit coupling.     

Attack on Optical Double Random Phase Encryption Based on the Principle of Ptychographical Imaging

The principle of ptychograpby is applied in known plain text attack on the double random phase encoding(DRPE)system.We find that with severai pairs of plain texts and cipher texts,the model of attack on DRPE can be converted to the model of ptychographical imaging.Owing to the inherent merits of the ptychographical imaging,the DRPE system can be breached totally in a fast and neariy perfect way,which is unavailable for currently existing attack methods.Further,since the decryption keys can be seen as an object to be imaged from the perspective of imaging,the ptychographical technique may be a kind of new direction to further analysis of the security of other encryption systems based on double random keys.