非线性优化

Pole-placement and Inner model tuning methods are discussed finally;(2) For the linear derivative action, several different tracker-differentiators are presented to improve the quality of the derivative signals;(3) A neural network tuning method is given for the nonlinear PID controller which includes the above tracker-differentiator;(4) For the linear integral action, a nonlinear pre-phase integrator is studied in order to decrease the phase delay problem; Simulation results show that the nonlinear PID controller including the pre-phase integrator posseses better performance in both fast and stable property, and strong ability of anti-disturbance;(5) A simple optimal criteria is introduced to optimize the parameters of the nonlinear PID controller based on the pre-phase integrator.

仿真研究表明，由此形成的非线性复合积分PID控制系统，具有快速而平稳的过渡过程和超强的干扰抑制能力；(5)采用物理意义简单明确的目标函数的优化设计方法，对上述非线性PID控制器进行参数整定，达到了满意控制典型工业过程的目的。通过对直线电机伺服系统的仿真研究，表明该种非线性控制器具有同时跟踪多个目标的优越性能。

In allusion to dynamic nonlinear large-scale industrial processes, to bring up gained the method of decentralized identification for the strong consistency estimates of the divisible steady-state models, it is used that property of polynomial can infinitely approach to the nonlinear function and in optimization processes use step signals as input signals, the divisible steady-state models of dynamic nonlinear large-scale industrial processes, and the cognizable conditions are obtained.

针对动态非线性大工业过程，提出了得到其可分稳态模型强一致性估计的分散辨识方法；利用多项式对非线性函数的无限逼近的性质和优化过程中设定点的阶跃信号作输入激励信号，获得了动态非线性大工业过程的可分稳态模型和可辨识的条件。

This paper presents a new evolutionary algorithm for solving nonlinear constrained optimization problems based on Social Cognitive Optimization.

针对非线性约束优化问题，运用了一种新的智能优化算法——社会认知优化算法。

For a class of bilevel multi-objective decision,this paper converts it into the problem of equivalent single-level multi-objective decision,then makes use of the inversion property of the genetic algorithm with the ergodic property of the chaos optimization method.

针对求解一类二层多目标决策问题，首先将其转化为等价的单目标决策问题，然后利用遗传算法优化的反演性和混沌优化方法的遍历性，并结合精确不可微罚函数求解非线性约束优化问题，提出了求解此类问题的混沌遗传算法。

For a class of bilevel multi-objective decision,this paper converts it into the problem of equivalent single-level multi-objective decision,then makes use of the inversion property of the genetic algorithm with the ergodic property of the chaos optimization method.Combined with exact non-differentiable penalty function,a new chaos genetic optimization algorithm is presented.

针对求解一类二层多目标决策问题，首先将其转化为等价的单目标决策问题，然后利用遗传算法优化的反演性和混沌优化方法的遍历性，并结合精确不可微罚函数求解非线性约束优化问题，提出了求解此类问题的混沌遗传算法。

The feedback linearization,system lacunarity and optimization control of the nonlinear control system are discussed.

对非线性控制系统设计理论上的难点问题进行了探讨，就非线性控制系统的反馈线性化、系统间隙度和非线性系统的优化控制进行了分析。

With the idea of smoothing Newton method, we propose a new class of smoothing Newton methods for the nonlinear complementarity problem based on a class of special functions. In this paper, complementarity problem is converted into a series of smoothing nonlinear equations and a modified smoothing Newton algorithm is used to solve the equations. We use Newton direction and Gradient direction together in the algorithm which guarantees that our method is globally convergent. Also using another smoothing function, we reformulate the generalized nonlinear complementarity problems defined on a polyhedral cone as a system of smoothing equations and a smooth unconstrained optimization problem. Theoretical results that relate the stationary points of the merit function to the solution of the generalized nonlinear complementarity problems are presented, we use the modified smoothing Newton algorithm in generalized nonlinear complementarity problems, under mild hypothesis, a global convergence is proved.

本文一方面基于现有的各种光滑Newton法的思想和半光滑理论，利用著名的F-B互补函数的光滑形式，首先将互补问题的求解转化为求解一系列光滑的非线性方程组，然后给出了一种修正的光滑Newton法，该方法不仅放宽对函数F的要求，在Newton方程不可解时引入初始效益函数的最速下降方向，而且光滑因子的选择也比较简单可行，同时在适当的条件下，证明了其算法具有全局收敛性；另一方面，借助另一种F-B光滑函数，将多面体锥上的广义互补问题转化为一种光滑形式，讨论了优化问题的稳定点与广义非线性互补问题的解之间的理论关系，并将这种修正的光滑Newton法用于求解广义非线性互补问题中，在适当的条件下，该算法同样具有全局收敛性。

A series of sulfanilamide group substituted derivatives were optimized on the basis of the semi-empirical quantum chemistry PM3 method.

以量子化学半经验PM3法对含磺胺基的一类有机化合物分子进行了几何构型优化，计算了分子的二阶非线性光学系数和电子转移，讨论了磺胺基在非线性光学材料设计中的特点和作用以及不同的取代基及取代位置对分子二阶非线性光学系数的影响

The practical application and computer simulation research show that the application of BP neural network to real-time diagnosis and modeling for optimizing WOB is practicable and efficacious.

BP网络作为一种非线性映射，可以逼近任意的非线性函数，所以它不仅适用线性系统，也适用非线性系统。本文选用BP网络作为钻进过程实时事故诊断和建立钻压优化模型的工具。一般B

Through optimum design of pressure gauge connecting rod mechanism in this paper ,it combines driving mechanism's nonlinear with spring tube displacement's nonlinear. It reduces the principle tolerance of pressure gauge and improue its design accuracy.

针对压力仪表传动机构存在的问题，本文通过对压力仪表连杆机构的优化设计，使其传动机构的非线性和弹簧管位移的非线性进行了拟合，弥补了C型弹簧管位移所固有的非线性，降低了压力仪表的原理误差，提高了压力仪表的测量精度。

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。