Chaotification for switched linear systems with controllers

This paper shows that two or more switched linear systems can generate chaotic dynamical behaviors by an appropriate switching rule as they at least consist of a controllable system and an unstable system with the expanding property. According to the results in the reference （Xie, L. L., Zhou, Y., and Zhao, Y. Criterion of chaos for switched linear systems with antrollers. International Journal of Bifurcation and Chaos, 20（12）, 4105-4109 （2010））, a nonlinear feedback gain is needed to generate chaotic dy- namics. A linear feedback control is usually used to approximate the nonlinear one for simulation. In order to obtain the exact control, as a main result of this paper, the con- troller is constructed by Russell＇s result, and a block diagram is included to interpret the realization of the controller. Numerical simulations are given to illustrate the generated chaotic dynamical behavior of the switched linear systems with some parameters and show the effects of the constructed controller.     

基于垂直观测的植被冠层高光谱偏振反射特性研究

以玉米冠层为研究对象,首先利用偏振反射机理分析了玉米冠层的反射信息中存在偏振现象;随后在抽穗前不同生长时期垂直观测方向对其高光谱偏振信息进行了测量,证明了理论推导,而且发现偏振光在总的反射光中所占的比例可达10%。这即表明了偏振测量可以为对地遥感提供辅助信息,同时也说明利用偏振信息反演大气参数时应该考虑地表偏振对它的影响。     

A novel adaptive finite-time controller for synchronizing chaotic gyros with nonlinear inputs

In this paper, the problem of the finite-time synchronization of two uncertain chaotic gyros is discussed. The parameters of both the master and the slave gyros are assumed to be unknown in advance. The effects of model uncertainties and input nonlinearities are also taken into account. An appropriate adaptation law is proposed to tackle the gyros' unknown parameters. Based on the adaptation law and the finite-time control technique, proper control laws are introduced to ensure that the trajectories of the slave gyro converge to the trajectories of the master gyro in a given finite time. Simulation results show the applicability and the efficiency of the proposed finite-time controller.     

Adaptive stabilization of an incommensurate fractional order chaotic system via a single state controller

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.     

初级球差对矢量柱状贝塞耳-高斯光束聚焦场的影响

通过柱坐标下的的分析方法,获得径向偏振和方位角偏振贝塞耳-高斯光束经具有球差的高数值孔径系统聚焦后的三维光场分布函数,根据光场分布函数模拟了不同球差系数下贝塞耳-高斯光束在焦平面和通过焦点的纵向切面上的光场分布.结果表明,在球差系数增加时,方位角偏振贝塞耳-高斯光束在焦平面上的圆环状光斑内半径逐渐变小到趋于恒定,而外环半径先减小后增大;而衍射焦点偏离高斯焦点的距离越来越大,纵向光强不再对衍射焦平面呈对称分布,调整离焦距离无法完全消除球差的影响;径向偏振贝塞耳-高斯光束会聚场的光强随初级球差的变化规律与方位角偏振贝塞耳-高斯光束的一致.     

双横向电光克尔效应

理论分析了克尔(Kerr)介质在两个横向电场作用下的电光调制特性.并由此确定了具有双横向电光克尔效应的光学材料种类.采用折射率椭球方法分析可知,各向同性克尔介质和一些晶体在横向外加电场作用下,其电光相位延迟与外加电场幅值的平方成正比,与电场方向无关;而其电光双折射主轴方位角与外加电场的方向角成正比,与电场幅值无关,称这种电光调制特性为双横向电光克尔效应.理论分析结果表明,排除兼有泡克耳斯(Pockels)效应和电致旋光效应的材料,立方晶系432,m3m点群和六角晶系6/mmm点群的晶体以及所有各向同性光学介质具有双横向电光克尔效应.目前已有克尔常数较大的陶瓷玻璃材料研制成功,将有力地促进双横向电光效应在光学各领域中的广泛应用.     

光纤中偏振稳定控制的实验研究

研制了一种偏振稳定系统,可以使偏振态(SOP)保持稳定输出,而且可以是任意需要的偏振态.实验中扰偏器以不同变化频率、各种相位幅度的信号变化,稳定器对其进行偏振稳定实验.对于相位幅度为π/2的扰偏信号,进行稳定的变化频率可达8 kHz.稳定耗时分析表明,有71%的时间耗在偏振控制器的响应时间上,而稳定算法及数据处理仅占总耗时的8%.     

基于琼斯矩阵建模的管道泄漏检测及预警系统的定位误差分析

为了解决分布式光纤油气管道泄漏检测及预警系统中常出现粗大定位误差的问题,需要提高定位精度,在分析系统的检测定位原理的基础上,基于单模光纤的双折射特性等效琼斯矩阵,建立了油气管道光纤预警系统的光学偏振模型,并对模型进行了仿真.指出信号关联的二义性即两传感器获得同一振动源的波形不相关的现象,是造成粗大定位误差的原因.根据该理论模型,提出了利用外加偏振控制器改变激光偏振方向的解决方法,定位实验证明该方法较好地解决了上述问题,提高了现场实验的定位精度.该模型的建立,为预警系统光路的改进和调节提供了理论指导.     

Global Exponential Projective Synchronization and Lag Synchronization of Hyperchaotic Lii System

This paper investigates the projective synchronization and lag synchronization of a new hyperchaotic system [Physica A 364 （2006） 103]. On the basis of Lyapunov stability theory, two novel nonlinear controllers are respectively designed to guarantee the global exponential projective synchronization （including complete synchronization and antisynchronization） and lag synchronization. Finally, numerical simulations are given to show the effectiveness of the main results.     

Control of Codimension-2 Bautin Bifurcation in Chaotic Lu System

In this paper, we design a feedback controller, and analytically determine a control criterion so as to control the codimension-2 Bautin bifurcation in the chaotic Lfi system. According to the control criterion, we determine a potential Bautin bifurcation region （denoted by P） of the controlled system. This region contains the Bautin bifurcation region （denoted by Q） of the uncontrolled system as its proper subregion. The controlled system can exhibit Bautin bifurcation in P or its proper subregion provided the control gains are properly chosen. Particularly, we can control the appearance of Bautin bifurcation at any appointed point in the region P. Due to the relationship between Bantin bifurcation and Hopf bifurcation, the control scheme thereby is also viable for controlling the creation and stability of the Hopf bifurcation. In the controller, there are two terms： a linear term and a nonlinear cubic term. We show that the former determines the location of the Hopf bifurcation while the latter regulates its criticality. We also carry out numerical studies, and the simulation results confirm our analyticai predictions.