非线性优化

The inverse method was used in aerofoil of fan blade design, a nonlinear algorithm of velocity distribution optimization, different optimize methods was introduced ,according to the difference of suction and pressure surface, this technique can adjust the thickness of aerofoil available.

使用反方法进行风机叶片的翼型设计，采用了一种非线性优化速度分布的方法，分别针对吸、压力面的初始速度分布采用不同的优化手段，可以有效地调节翼型的厚度。

P-wave AVO inversion is a complicated constrained nonlinear optimization problem, which is better achieved using global optimization methods.

AVO反演是一个非线性优化问题，因此采用非线性的反演方法，其解空间的性质、状态应优于线性反演方法。

The parameters of GHM model are determined by nonlinear curve fitting in complex frequency domain. This is converted into nonlinear optimization problem with constrained condition. The corresponding program is completed.

GHM模型的参数通过复频域内的非线性曲线拟合确定，最终转化为具有约束条件的非线性优化问题，并编制了相应的非线性优化程序。

A nonlinear predictive functional control algorithm using Hammerstein models has been developed. The characteristic of this strategy does not need nonlinear optimization that is replaced with linear optimization. Prediction of process output is calculated directly by parameters of model and does not require solving the Diophantine equation.

本文提出了基于Hammerstein模型的非线性预测函数控制，该算法的特点只需进行线性寻优而不需要进行非线性优化，同时过程的预测输出只需应用模型参数直接计算得到而不需要求解Diophantine方程。

In reliability-based optimization problems of a ship's longitudinal structural design, there are lots of discrete variables and continuous variables. This kind of mixed-discrete non-linear optimization problem containing discrete and continuous variables has long been payed attention to, which is more difficult to solve when a number of reliability constraints are taken into account.

在船舶纵向结构的可靠性优化设计中，含有许多离散型设计变量和连续型设计变量，这种含有两种不同性质设计变量的大型结构物的混和优化问题，一直是人们瞩目的难题，尤其是考虑了多个可靠性约束条件之后，求解这种非线性优化问题就更为困难。

Secondly, make amendments to the initial feasible direction in order to adapt it to all the inequations of the optimization model.

具体做法是：首先对非线性优化模型中所有等式约束条件实施拟牛顿迭代法，求得一个可行方向，然后对这个可行方向进行修正，使之满足线性和非线性的不等式约束条件，最后收敛于问题的最优解。

The displacement restrictor parameter optimization of the shock isolation system is a kind of nonlinear optimization problem with the restriction.

冲击隔离系统限位器参数的优化问题是一个有约束的非线性优化问题，也是一种最困难的优化问题。

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。

Since nonlinear problems more accurately describes the phenomena of the nature,thus thispaper considers nonlinear optimization problems and two important classes of nonlinear evolu-tion equations,and neural networks for nonlinear optimization problems is stressfully studied.

由于非线性问题更准确地描述了客观现象，因此本文考虑了非线性优化问题和两类重要的非线性发展方程，突出地研究了非线性优化问题的神经网络。

Moreover, sum up the modeling method and step for tap;The paper focus on the tapping speciality of screw tap, and the influence between geometrical parameters and cutting performance, targeting the minimum tapping and axial force, the optimum design of geometrical parameters is done, especially the flute shape.

论文重点研究了螺旋槽丝锥的攻丝特性及其几何参数对切削性能的影响，基于最优设计原理建立了攻丝扭矩最小及轴向力为零的双目标非线性优化模型，并利用Matlab软件，对螺旋槽丝锥的几何参数，尤其是丝锥容屑槽槽形，进行了优化，根据优化结果建立了丝锥的三维CAD造型。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。