To the inequality constrained least squares adjustment problem , this paper converts many inequality constraints into one equality constraint by using aggregate function of non - linear programming ; a basic augmented lagrangean algorithm can obtain the solutions for equality constrained non - linear programming problem and the solutions are identical to those obtained by the bayesian method and / or simplex algorithm 摘要对不等式约束最小二乘平差问题，借助非线性规划中的凝聚约束方法把多个不等式约束转化为一个等式约束，采用拉格朗日极值法求解，解与贝叶斯解或单纯形解一致。
Based on the built mathematic model for lunar robber a two - closed - loop tracking control strategy is proposed . this proposed strategy applies single neural sliding mode control method for nonhomonomic constraints , fuzzy control method for uncertain conditions and lagrange optimization calculation for the redundancy of the inputs 考虑到系统模型中存在的非完整特性、参数不确定性和冗余输入,分别采用单神经元滑模变结构方法、模糊控制方法和拉格朗日极值法来设计控制器。
And with the results of calculation obtained by the first - order gradient algorithms which is initial value of the neighboring extremal algorithms we can transform the problem into a face to point one , then a good result is attained by the neighboring extremal algorithms . in the end , the course of orbit transfers is depicted 利用梯度法对两点边值问题进行计算，将面对面的问题转化为一个点对点问题，将所得结果作为邻近极值法的初始值并进行精确计算。最后，描绘了最优变轨过程。
The matching rate of the suggested two methods were compared for the assembly size chaims with different number of the forming links , with different number of the forming link parts , and with different deviation distribution types on the assumption that the closing link tolerance of the selective assembly is a tenth of that calcalated by the extremum method 以不同组成环数、不同组成环零件数、不同偏差分布类型的装配尺寸链为研究对象，取选择装配的封闭环公差为按极值法计算所得封闭环公差的十分之一，以匹配率为评价指标，比较了两种方法的优劣。
Since the energy of 18 - information track signal is concentrated around upper frequency and lower frequency , the frequency of the modulation signal is low , and it must have high resolution , we use zfft to detect it . as the energy of um - 71 signal is more concentrated , we use extreme value method to detect the frequency of modulation signal in frequency domain , which can satisfy the frequency resolution 针对18信息轨道信号能量集中在上、下边频附近且低频信息频率低的情况,提出了用zoom - fft ( zoom指频率扩展或细化,简称zfft )算法进行信号的局部放大检测低频信息,以提高信号的频率分辨率,而um - 71轨道信号能量集中在载频附近,在频域上采用极值法检测低频信息,即可满足信号频率分辨率的要求。
