非线性优化

The controllers has considered all sorts of imperceptible factors affecting the servo performances in a LPMSM servo system, which include the parametric uncertainties brought by the changes of the mobile mass, the dynamitic performance of the system and the size of input.

针对非线性控制器设计参数较多这个问题，本文将参数设计问题转化为一种优化设计问题，借助于寻优方法中最为有效的遗传算法，可以比较方便的找出符合设计要求的一组调节参数，来解决模型摄动和参数不确定性给系统带来的扰动，以保证系统的稳定性及鲁棒性。

Then the 3D data from each stereo visionmeasuring unit can be translated into a unique frame of refrence.2. Designed control points of plane form with homocentric arcs and ball markers.By the moment invariants and least-squared procedure of ellipse fit, the markers wererecognized and located automatically with high precision.3. Studied the technology of camera self-calibration, according to the camerawith wide field of view, set up the distorted projection camera model.

通过被测物表面的控制点，将局部测量数据统一到全局坐标系中。2、设计了平面型多重圆弧编码控制点及立体控制点，结合边缘矩的不变性和椭圆最小二乘拟合技术实现控制点的精确定位。3、研究了相机的自标定技术，针对大视场相机的特点，建立了非线性相机成像模型，采用优化算法完成了相机的内、外部参数标定。

In the process of this item, after the mainly uncertainties affecting the network planning are detailedly researched, some flexible planning models such as Blind Number Method and Scenario Method are proposed. Because power network planning is a nonlinear, discrete, multi-peak, multi-objective and nondifferentiable problem, it is very hard to be solved. Ant Colony Algorithm is an advanced metaheuristic method and has potential to deal with network planning problems.

本项目的研究过程中，针对影响电网规划的不确定性因素做了深入的定性和定量分析，采用盲数理论和多场景技术建立了多种具有良好适应性和灵活性的电网规划模型；同时，针对电网灵活规划模型非线性、离散性、多目标及目标函数不可微等特点，对多种优化算法在处理此类问题时的性质进行了分析和对比，并最终采用蚁群算法较好地解决了电网灵活规划问题。

The 5-D mothod was used in the optimum design of nonsymmetrical T-type passive filter. Results show that 5-D data field obtained provides direct decisionmaking supports in the global optimum solution of quaternion nonlinear equation, and for the robust analysis of the solution as well.

变频器用非对称T型无源滤波器优化设计的实践表明，在求此类4元非线性方程全局最优解及判别数值解的鲁棒性时，该方法所得到的五维数据场可提供直观的信息。

After some generations the population diversity would be greatly reduced and the algorithm might lead to a premature convergence to a local optimum. To circumvent these shortcomings, the chaotic dynamic system is introduced in the studies of chemometric algorithms. The chaotic mapping itself is very sensitive to the initial state in a manner similar to the statistical randomness but with its underlying patterns appearing to be phantasmagoric in a deterministic style.

神经网络是一个优异的非线性建模工具，但其突出的缺点就是潜在的预收敛到局部最优点或过拟合导致的错误预报模式；遗传算法用于优化过程其目的是为了避免陷入局部最优点，但事实上由于在传统遗传算法的进化过程中只有少数最好的成员被保留下来用于产生子代成员，经过一定代数的进化后群体成员的多样性就会显著下降，也很可能过早收敛到局部最优点。

In aim at the complicity and high-dimensional state-space for the controlled system, it simplifies the calculation of geometric polytope by optimize with ellipsoidal approximate techniques, and the robust control effectiveness near to the optimal.

本论文所提示的基于几何理论的约束非线性控制算法是建立在最大输出允许集合的基础上，运用状态空间的有界子集表达鲁棒时优离散时间控制问题的价值函数，通过逆序计算该价值函数的水平集合，求得其所需的控制量，针对被控系统的复杂性及高维状态空间问题，运用椭球近似技术予以优化，使得几何多面体的计算得以简化，且鲁棒控制效果接近最优。

Differing from the feed-back error compensation method, the selflearning error pre-compensation method offered by the paper is based on both ANN and time series technique to obtain the error pre-compensating curve using the non-linear ANN pre-compensation model. Because of the self-learning character of the ANN, this new type of precompensation model can be self-adjusted.

与常规的反馈补偿方法不同，本文提出的自学习误差预测补偿方法，将时间序列预测与神经网络的自学习自适应优化建模技术相结合，利用神经网络非线性预测模型产生误差预补偿函数，并利用神经网络的自学习特性对所建预测模型进行修正，所以这种新型的误差补偿方法能够获得更高的误差补偿精度和控制速度，简单实用，适于推广，具有生产应用价值。

Earliness/tardiness scheduling problem in flow shop ;2. The integrated optimization of equal size sublot streaming and sublot-intermingling scheduling in a multi-product and multi-machine flow shop was discussed.

讨论了一类多产品多机流水车间等规模子批量流与混排序的集成优化问题，以最小完工时间为目标函数建立了非线性混合整数规划模型，利用遗传算法+仿真的策略求解。

Some technical solutions to the optimization unfeasibility are proposed.

提出递推QP算法求解二次型性能目标非线性约束MPC优化问题。

According to these features, a hybrid genetic algorithm is developed to optimize the operation of pulverized system in admixing combustion conditions, where a fuzzy neural network is adopted to evaluate admixed coal's slag property, and a radial basic function neural network is used to predict pulverized coal's fineness and mill's outlet temperature.

本文将人工神经网络和遗传算法相结合形成混合优化算法，对电站多煤种掺烧制粉系统运行进行寻优。针对掺烧煤结焦的模糊性和非线性特征，采用模糊神经网络评估混煤的结焦特性，并利用径向基神经网络关联掺烧煤的煤粉细度和磨出口温度。

But we don't care about Battlegrounds.

但我们并不在乎沙场中的显露。

Ah! don't mention it, the butcher's shop is a horror.

啊！不用提了。提到肉，真是糟透了。