非线性

The PID parameter tuning of non-linear control system is set as the engineering background. The aim is the optimal design of PID parameter. On the basis of the design and research of the advanced PID parameter tuning, the mathematical model-transfer functionis developed through correlation analysis on statistical method.And with the optimization algorithm under constraint condition, the non-linear, Isqnonlin is set as object function. Then with connection of the non-linear constrain optimization algorithm and simulink technique, a set of adjust parameters which fit the performance index of the control system are found. And optimization design process and steps are provided.

本文以非线性控制系统PID参数整定为工程背景，以PID参数的优化设计为目标，在分析和研究国内外PID参数先进整定方法的基础上，运用相关分析实验统计方法建立对象的数学模型——传递函数，把PID参数设计问题转化为一种非线性优化设计问题，借助于约束条件下的优化算法，以非线性最小平方指标为目标函数，将非线性约束优化算法同Simulink仿真技术相结合，找出符合控制系统品质指标的一组调节参数。

In addition, the nonlinear processes such as cross-phase modulation, non-degenerate two-photon absorption, and stimulated Raman scattering must also be considered for double wavelengths propagating in waveguide.

在归纳分析了SOI对光信号处理的研究进展的基础上，进一步完善了超快脉冲在脊形硅波导中演变时所满足的线性和非线性传输方程，在此非线性方程中包括波导线性损耗、群速度色散和三阶色散等线性效应；同时也包含了自相位调制、简并双光子吸收、自由载流子吸收和自由载流子色散等非线性过程；当双光场在波导中传输时，脉冲之间的交叉相位调制、非简并双光子吸收和受激拉曼散射效应等非线性效应也被考虑。

On the basis, the effect of different factors such as the sloping angle of arch ribs, the stiffness of bridge deck system, the effect of non-orientedly conservative loadings of the hanger and tie bar etc is discussed.

考虑几何非线性和材料非线性后，大跨度钢管混凝土拱桥的稳定系数最小，约为弹性稳定系数的45%，在分析大跨度钢管混凝土拱桥的稳定性时，应考虑材料非线性和几何非线性的共同作用。

Mathematics model of dielectric under uniform electric field is built up, and total current is separated into three parts such as conductive current, instantaneous current and relaxation polarization current, then polarization and depolarization of linear and non-linear dielectric are simulated under step excitation, the results show that nonlinearity of non-linear conductivity is reflected by measuring surface potential attenuation during the process of self-discharge of non-linear dielectric.

论文首先对处于均匀电场下的电介质进行电路建模，把电介质的总电流分为电导电流、位移极化电流和松弛极化电流三部分来分析，然后以此为基础利用Matlab软件中的Simulink平台对直流阶跃激励下线性和非线性绝缘介质的极化和退极化过程进行了仿真，结果表明可以通过测试非线性绝缘介质自放电过程的表面电位衰减来反映其非线性电导的非线性程度信息。

From comparing with them,we can find that the nonlinear PID method which is presented by this paper, not only has the characteristic of high "robustness and adaptability" that nonlinear PID controller has,but also has higher corresponsive speed and shorter regulating time.

基于这种非线性PID，结合加热炉的特性，设计出了一种非线性PID控制器，并分别用普通PID、非线性PID对其控制，通过系统仿真比较发现，本文提出的非线性PID不仅具有高鲁棒性和适应性特点，同时使调节时间更短，响应速度更快。

From comparing with them,we can find that the nonlinear PID method which is presented by this paper, not only has the characteristic of high %26quot;robustness and adaptability%26quot; that nonlinear PID controller has,but also has higher corresponsive speed and shorter regulating time.

基于这种非线性PID，结合加热炉的特性，设计出了一种非线性PID控制器，并分别用普通PID、非线性PID对其控制，通过系统仿真比较发现，本文提出的非线性PID不仅具有高鲁棒性和适应性特点，同时使调节时间更短，响应速度更快。

Two kinds of manipulative methods are applied to heating furnace systems, they belong to classical PID ,nonlinear PID .From comparing with them,we can find that the nonlinear PID method which is presented by this paper, not only has the characteristic of high "robustness and adaptability" that nonlinear PID controller has,but also has higher corresponsive speed and shorter regulating time.

基于这种非线性PID，结合加热炉的特性，设计出了一种非线性PID控制器，并分别用普通PID、非线性PID对其控制，通过系统仿真比较发现，本文提出的非线性PID不仅具有高鲁棒性和适应性特点，同时使调节时间更短，响应速度更快。

The bifurcation and chaos behavior of impact and rubbing fault rotor system caused by the parameters of nonlinear rigidity, rotor rotating speed, eccentric mass is analyzed, in the numerical value analysis method. The bifurcation diagrams, maximum Lyapunov exponent diagrams, Poincaré maps, phase plane portraits, trajectories of journal center, time-history curve, amplitude spectra diagrams of the rotor motion are used. The convert and evolution course of periodical response, quasi-periodical response, double-periodical bifurcation, chaos of the system response is analyzed.(3). It is deduced that the general differential equation of bending-torsional-pendular coupling vibration about rotor with the gyroscopic moment. On the basis of this equation, the general differential equations of coupled bending, torsional and pendular nonlinear vibration about rotor with unbalance character and rubbing character are deduced.

2建立了具有非线性刚度的转子系统在非稳态非线性油膜力作用下的径向碰摩动力学微分方程，并应用含高阶余项的非线性动力方程的线性化数值法研究了此类系统响应的复杂动力学行为，利用转子响应的分岔图、最大Lyapunov指数曲线、Poincaré截面映射、时域波形、相轨线、轴心轨迹、幅值谱等图形分析了系统响应的周期运动、拟周期运动、倍周期分岔、混沌等运动形式的转化与演变过程，重点研究了非线性刚度、转子转速、偏心质量等系统参数对碰摩故障转子系统的分岔和混沌行为的影响。

Resultantly, the individual warm/cold events in ENSO cycle appear to be partially locked to the annual cycle, and also exhibit obvious irregularity both in amplitude and in lasting time.

本文第四章研制设计了一包含海洋表面边界层和大气辐合反馈过程的热带太平洋海气耦合异常模式，进而利用该模式对ENSO循环进行了较为真实的模拟，通过对模式ENSO循环的演变特征及其形成机制的细致分析，建立了-ENSO循环的非线性分析模式，并提出了ENSO循环形成的一种更为客观的理论，指出：1）和观测事实类似，模式ENSO循环确实涉及了三种主要时间尺度过程即LF、QB和AC，其中LF为3-4年主周期振荡，QB占总方差10～20%；2）ENSO循环的正反馈机制是不稳定海气相互作用过程，且这一不稳定过程的发展在暖态中明显强于冷态；3）ENSO循环的负反馈机制在冷暖态中表现不同，在冷态消亡过程中，这种负反馈过程主要表现为西边界反射产生的时滞效应，但在暖态消亡过程中不存在类似的时滞效应，其负反馈过程主要表现为在海气耦合不稳定充分发展时伴随的赤道两侧冷水上翻过程的加强以及非线性过程的衰减作用抑制了不稳定的发展并最终使得系统回复至冷态；4）ENSO循环的3-4年主周期振荡是一非线性系统的自激振荡现象，其形成是线性系统的本征模即准两年振荡通过非线性机制产生的周期加倍所致，其中&单向性&大气辐合反馈加热过程对其形成至关重要；5）虽然年循环过程对ENSO循环形成没有本质影响，但它可明显影响ENSO循环的具体振幅和位相，使得ENSO对季节循环有明显的&锁相&特征，并且也使得ENSO循环在振幅大小和时间长短方面呈现出明显的不规则性。

The results of Raman, SEM and EPMA tests show that the microstructure defects of the chalcogenide glasses play an important part in their second-order nonlinear optical properties. The glasses show large SNOP because of Sb2S3 microcrystal or the mental antimony in the glasses even before they were polarized. After the electrical/thermal polarized, GeSbS glasses show larger SNOP with the increase and growth of the microcrystal. The glasses show larger SNOP because of the existence of Sb2S3 microcrystal or the mental antimony in the glasses.

通过研究玻璃的拉曼光谱、扫描电镜和电子探针显微分析后发现，硫系玻璃内部的微结构缺陷对其二阶非线性光学性能有显著影响，玻璃体系内存在的Sb2S3微晶或金属锑颗粒能使硫系玻璃在未经极化处理前就具有较大的二阶非线性光学性能；经电场温度场极化处理后，随着微晶的增多和进一步长大，导致GeSbS玻璃具有更高的非线性光学性能；由于Sb2S3微晶或金属锑的存在，导致玻璃具有较高的二阶非线性光学性能。

Plunder melds and run with this jewel!

掠夺melds和运行与此宝石！

My dream is to be a crazy growing tree and extend at the edge between the city and the forest.

此刻，也许正是在通往天国的路上，我体验着这白色的晕旋。