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This dissertation firstly introduces the principles of four kinds of simple gridding methods, which are"Linear interpolation based on triangulation","Inverse distance weighted and averaged method","Modified Shepard's method"and"Multiquardirc method". Secondly, it researches the Ordinary Kriging method for geophysical irregular data, which mainly includes the base knowledge of region change and variogram and the principle of Ordinary Kriging method. Thirdly, it researches the Inverse Interpolation for geophysical irregular data, which mainly includes the principle of inverse interpolation and its iterative algorithm, and the principle of Inverse Interpolation to realize the gridding of geophysical data. Finally, it uses these gridding methods to grid theoretical model data of potential field and raw aeromagnetic data, and compares and analyzes the gridding results.

本文首先简单介绍了地球物理不规则分布数据的四种简单网格化方法(即基于三角网的线性插值法、反距离加权平均法、改进的Shepard方法和多元二次函数法)的方法原理;接着,重点研究了地球物理不规则分布数据网格化的普通克里金法,主要研究了区域变化量、变差函数的基础知识和普通克里金法的方法原理;之后,重点研究了地球物理不规则分布数据网格化的反插值法,主要研究了反插值法的方法原理和迭代求解算法,以及反插值法实现地球物理数据网格化的原理;最后,应用这些方法对理论位场模型和实际航磁数据进行了试验、对比和分析。

In our thesis, contents are organized as following In Chapter 1 we present our topic's internal and overseas research situations, theoretical and practical significance, and introduce the research object and contents, and the main contributions of this dissertation. Chapter 2 reviews the development of the stability results for nonlinear systems and some relevant recent results, which include Lyapunov and LaSalle-Yoshizawa theorems for nonlinear systems, and stochastic edition for stochastic nonlinear systems. Sontag's formula for systems affine in control is presented in the frame of CLF. The concepts of disturbance attenuation and the inverse optimality are also explained in this Chapter. In chapter 3 we present the solvable theorem of inverse optimal gain assignment problem, design the inverse optimal controller and the inverse optimal tracking controller for strict-feedback nonlinear continuous systems with unknown time-varing bounded disturbances and constant unknown parameters using an adaptive backstepping algorithm, which are nonlinear, continuous and are easier to realize. These designs are fully systematic and the algorithm can be directly coded in symbolic software. The results of simulation show the effectiveness of the control algorithms.

论文的结构如下:在第1章中,给出了本文研究课题的研究现状、理论意义和实际应用,并介绍了本文的研究对象、研究内容以及主要贡献;在第2章中,针对确定性非线性系统和随机非线性系统,分别介绍了Lyapunov定理、LaSalle-Yoshizawa定理及其随机版本;对仿射系统,在控制Lyapunov函数框架下,给出了Sontag公式;同时给出了非线性系统扰动抑制和逆最优控制问题的基本概念;在第3章中,针对具有未知时变有界扰动和未知定常参数的一类不确定非线性系统,给出并证明了逆最优增益配置可解定理,使用自适应Backstepping算法和均值定理,系统地设计了自适应逆最优控制器和逆最优跟踪器,这种设计方法可同时获得逆最优控制策略和自适应律,简单明了,仿真结果表明该控制算法的有效性,并给出了性能估计。

In Chap 3, we give the definitions of left inverse and right inverse; present the fast algorithms of left inverse and right inverse for Toeplitz matrix, Hankel matrix, Loewner matrix and Vandermonde matrix with mxn order.

第三章先给出左逆及右逆的定义,然后分别给出了求m×n阶Toeplitz矩阵、Hankel矩阵、Loewner矩阵、Vandermonde矩阵的左逆及右逆的快速算法。

The second chapter discussed the definition and nature of dashes inverse A in generalized inverse as well as its application in compatible linear equations. The third chapter discussed the definition and calculation of the minimum norm inverse A in generalized inverse, as well as the Minimal Norm Solution of its compatible linear equations Ax = b.

前言从引进广义逆矩阵的定义着手,介绍了它的历史概况以及发展的背景及其意义;第1章从广义逆的发展历程讨论由Moore-Penrose方程确定的各种广义逆的定义;第2章讨论广义逆中的减号逆A 的定义及性质以及在相容线性方程组的应用;第3章讨论广义逆中的最小范数逆A 的定义及计算以及它与相容线性方程组Ax=b的极小范数解。

Our results improve the former results. For periodic Jacobi matrix, some new spectral properties of periodic Jacobi matrix are given by studying the relationship of the eigenvalues of periodic Jacobi matrix and its n—1 principal submatrix. Applying these spectral properties, we present a necessary and sufficient condition for the solvability of an inverse problem of periodic Jacobi matrices and discuss the number and the relationship of its solutions. Furthermore, we propose a new algorithm to construct its solution and compare it with the former algorithms. As this inverse problem of periodic Jacobi matrix usually has multiple solutions as many other eigenvalue inverse problems, we study the uniqueness of this problem. And a necessary and sufficient condition is given to ensure its uniqueness, under which an algorithm is presented and the stability analysis is also given. Finally, we put forward a new inverse problem for periodic Jacobi matrix which has not been solved.

对周期Jacobi矩阵特征值反问题,通过研究周期Jacobi矩阵与其n-1阶主子阵特征值的关系,给出了周期Jacobi矩阵的一些新的谱性质;利用这些谱性质,研究了一类周期Jacobi矩阵特征值反问题,用新的方法推导出了该类特征值反问题有解的充分必要条件,并讨论了解的个数以及解与解之间的关系;此外,提出了一种新的构造周期Jacobi矩阵反问题解的数值算法,并与前人的算法做了一定比较;由于周期Jacobi矩阵特征值反问题和其他很多特征值反问题一样往往存在多个解,本论文给出了周期Jacobi矩阵反问题解唯一的充要条件,并发现周期Jacobi矩阵特征值反问题的解唯一当且仅当构造的矩阵满足一定的条件;在解唯一的情况下,给出了构造唯一解的数值算法,并做了相应的稳定性分析;最后,提出了一类新的有待于解决的周期Jacobi矩阵特征值反问题。

This paper studies the invariant, which is the linear preserving problem based on generalized inverse of matrices. The generalized inverse of matrices and the research status of preserving problems of generalized inverse are outlined. In the basis of deeply understanding the basic knowledge of linear maps, the definition, characteristics of generalized inverse and decomposition of matrix, the author analyzes the decomposition form of preserving idempotence and preserving tripotence in the PID, then studies on the linear maps form of preserving group inverses of symmetric matrices.

本文研究的不变量是矩阵广义逆线性算子的保持问题,概述了广义逆矩阵,广义逆保持问题的研究现状,在对线性映射的基础知识,广义逆矩阵的定义、性质和矩阵的分解深入理解的基础上,深入分析了保幂等、保立方幂等矩阵在主理想整环上的分解形式,继而研究了保对称矩阵群逆的线性算子形式。

To the nonlinear plants, the shortage of normal inverse control method for nonlinear plants is discussed in chapter 6. ANFIS is effectively applied to nonlinear inverse dynamic control system. A project about how to design nonlinear inverse dynamic controller is also discussed here. It effectively avoid the inherent imperfects in the normal inverse control methods. These methods show a great promise.

对于非线性被控对象,本文在第六章分析了通常非线性逆控制方法的不足,并将自适应模糊神经推理系统用于非线性逆动态控制中,讨论了ANFIS非线性逆动态控制器的设计方案,有效地克服了在常规逆控制方法中所固有的缺陷,在非线性控制中很有应用前途。

This invention concerns a current control process for a feed-in voltage converter, wherein a detected flux-inducing current component and a detected torque-inducing currrent component of an actual currrent vector of a rotating field machine are each controlled for a flux-inducing current component set value and a torque-inducing current component set value of the rotating field machine. To that effect, a control set-value (DELTA u*sp, DELTA u*sq) is determined, dependent each time upon a determined current component control deviation. From these, current components of an actual current vector are formed each time by overlay of a formed pilot value (u*spvor, u*sqvor). This invention also concerns a device for carrying out this process.

本发明涉及一种用于馈入电压式变流器的电流调节方法,其中分别将所检测的一感应式电机的一实际电流向量(i s 的磁通感应电流分量和一转矩感应电流分量i sq )调节至该感应式电机的一额定电流向量的一磁通感应分量额定值和一转矩感应电流分量额定值,在这种情况下,分别根据所检测的一电流分量调节偏差计算出一调节器调节量(△u * sp ,△u * sq ),由这两个调节器调节量分别通过叠加所形成的一预控制量(u * spvor ,u * sqvor )形成一额定电压向量的电压分量(u * sp ,u * sq ),本发明还涉及一种用于实施该方法的装置。

The algorithm GS to solve the problem of inverse dynamics based on the optimal theory is proposed, by using the numerical methods of Gill and shooting target, the optimal joint driven torques are obtained With the smooth joint trajectory motion, a fast and stable inverse dynamics method is proposed, it provides a new effective way to control the flexible manipulator The trajectory planning in the joint space and Cartesian coordinates is especially discussed In terms of kinematics of space flexible link manipulators, a sequential integration method for inverse dynamic analysis of flexible manipulators is developed The concrete results of simulations tested and verified the validity of proposed methods, and some valuable conclusions are achieved.

提出了求解基于最优理论的柔性臂逆动力学问题的GS法(Gill—Shooting method),得到了柔性臂关节的最优驱动力矩;提出了基于光滑关节运动轨迹的柔性臂逆动力学的快速稳定方法,为柔性臂控制提供了一条新的途径;探讨了关节空间和直角坐标空间柔性臂的轨迹规划问题;研究并完善了结合柔性臂运动学的顺序积分的逆动力学方法。通过具体实例的仿真研究,验证了所提出的柔性臂逆动力学方法的有效性,得出了一些很有价值的结论。

A fast algorithm for calculating the inverse and Moore-Penrose inverse of the permutation factor circulant matrix is presented. Then, a fast algorithm for the product of the permutation factor circulant matrix is given. Finally, The least-square solutions of inverse problems and the optimal approximation problems for the permutation factor circulant matrix are discussed.

首先给出了一种求n阶置换因子循环矩阵的逆阵、自反g-逆、群逆、Moore-Penrose逆的快速算法,然后给出了计算两n阶置换因子循环矩阵之乘积阵的一种快速算法,最后给出了其反问题的最小二乘解的存在性定理及它的一般表示,并证明了逼近矩阵的存在唯一性且给出它的具体表达式。

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