以纯滞后时间为参变量的根轨迹新性质

文献[1]得到一组以纯滞后时间为参变量的根轨迹性质,但在确定根轨迹穿越虚轴的方向、根轨迹的终止点和根轨迹的渐近线的过程中存在错误.本文提出计算根轨迹出射角和入射角的方法,并对文献[1]中存在的错误进行修正.利用根轨迹的性质,可以确定闭环系统的时滞稳定区间.     

单侧逼近迭代法及其在求解多项式方程根中的应用

1.引言 用通常的迭代法,例如简单选代法、牛顿迭代法等,求一般函数方程 f(x)=0 (1)的根时,首先需要选取一个比较好的初始近似x_0,使得由这个初始近似生成的迭代数列{x_n}收敛到(1)的根。如果选择不好,生成数列发散。特别是,求出了若干个根x_i后,如     

基于MATLAB轨迹规划的模型建立与数值仿真

依据多体系统理论及运动建模方法建立了机载成像设备地面仿真系统模拟载机运动的数学模型。依据牛顿迭代法和广义伪逆求解法，利用MATLAB编制了该仿真系统的轨迹规划程序。针对于载机的其中一种飞行状态，进行了轨迹规划的数值仿真，从而说明所设计的轨迹规划器的实用性和有效性。     

根轨迹的分离点研究

本文给出了闭环系统根轨迹存在分离点的充分必要条件.研究表明,根轨迹的分离点可位于复平面上的任意位置,而且阶次是任意的.利用该充分必要条件,可以构造使闭环系统根轨迹包含分离点的被控对象传递函数.     

一种提高双正交小波消失矩的算法及其在图像编码中的应用

文章介绍了一种提高任意双正交小波消失矩的方法。此法根据小波的消失矩与其对应FIR滤波器的Laurent多项式在z=1处零点阶数相等的关系,基于提升格式采用迭代法设计提升系数,便于工程实现。在图像压缩编码中,用此法可方便地提高所选小波的消失矩,改变滤波器的性能,获得所需的新小波,从而实现预期目标。     

稳态大系统中采用局部反馈的价格法协调

本文对于稳态大系统递阶控制的校正机制,给出一个新的局部反馈方法。新的迭代法需要根据理论分析或试凑法来选择对角线阵K_c的系数,以保证迭代的稳定性。数字实例表明此法能提高系统的目标函数值。     

用直接求解法求取并用行式打印机打印根轨迹图

本文介绍了用直接求解法求取根轨迹和由行式打印机打印出根轨迹图的方法。     

根轨迹分离点的一种简便求法

前言我们知道用根轨迹法来研究系统是一种比较常用的方法。但是,当系统阶次高达三阶以上时,作根轨迹就会遇到一个难题:那就是找根轨迹的分离点或会合点。虽然现在可以用计算机来分析根轨迹,但是作为一般地分析系统还需要既简便又切实可行的办法。我们先讨论无延迟因子 e~(-rs)的情况,然后讨论有延迟因子 e~(-rs)的情况。     

根轨迹在多重分离点处的走向

本文主要讨论根轨迹在多重分离点处的走向。推导了根轨迹(包括余根轨迹)在多重分离点处的分离角公式和会合角公式。给出了例题。     

一种解稳定性问题的迭代法

本文提出一种确定特征多项式的全部根是否位于左半平面的迭代法，方法简单，敛速高。     

A note on series expansions for multivariable root-loci

It is shown that the asymptotic behaviour of the infinite zeros and corresponding eigenvectors of a uniform rank multivariable system S(A, B, C) can be characterized by analytic functions of the complex variable. The results could be used for systematic numerical approximation of the asymptotic behaviour of the root-locus in cases where direct calculation of the root-locus is impractical     

闭环传感器动态特性补偿的仿真实现

介绍了闭环传感器的系统结构和工作原理 ,用根轨迹法对系统进行了补偿 ,并利用MATLAB工具作了仿真实验 ,表明此方法的有效性。     

A note on a computer-aided root-locus method

It is shown that the computer-aided root-locus method suggested by Pan and Chao [3] can be more efficient, reducing cumbersome complex arithmetics, if one incorporates the Bairstow technique for finding roots of real polynomials.     

Root-locus method for the Tsypkin and Jury and Lee criteria†

A method is developed for application of the Tsypkin criterion and the Jury and Lee stability criteria for certain classes of non-linear sampled data systems

The method, which uses root-locus techniques, is based on the root-locus interpretation of the Popov criterion for continuous data non-linear systems. This method was developed by Ramapriyan et al. (1966).     

感应电动机转速对定子电流暂态过程的影响

本文运用根轨迹法，分析了感应电动机转速对定子电流暂态过程的影响。并通过对稳态时定子电流在电压阶跃干扰下的暂太响应分析，验证了结论有效性。     

Control parameterization and robustness of feedback systems: anasymptotic analysis

The problem of robust design is regarded as a parameterization problem, and the choice of parameters to satisfy with respect to a class of bounded perturbations is considered. Application areas for the general results derived include multivariate root-locus robustness, design based on simplified or reduced plant models, and singular perturbation analysis. The results are based on asymptotic analysis of feedback structures and a proof of the existence of parameter ranges for robust stability     

Stability robustness analysis of digital control systems in state-space models

The stability robustness of discrete linear time-invariant systems in state-space models is analysed. Based on a root-locus approach and from the stable-eigenvalue viewpoint, fundamental criteria for testing the stability robustness of autonomous systems are derived and applied to the robustness analysis of multivariable feedback systems. Both the norm bound and the element bounds for the allowed perturbations are obtained. A stability robustness index is denned which is useful both for the analysis and synthesis of control systems.     

A root-locus technique for linear systems with delay

A new method of plotting the root-loci is developed for the linear control system with delay in control or in state. In case of the system with delay in control, the root-locus plot starts from neighborhoods of the open-loop zeros instead of the open-loop poles and thus the effect of time-delay is easily handled. In case of the system with delay in state, the open-loop poles are firstly found by applying the root-locus method for the system with delay in control and then the desired root-loci are found by starting the root-loci plot from the open-loop poles.     

Root-locus approach to the stability analysis of interval matrices

A new approach, called the root-locus approach, is developed for the stability analysis of perturbed matrices. The basic idea of this approach is to ensure that the root loci of a continuously perturbed matrix remain in the open-left-half complex s-plane. Based on this approach, new techniques are presented to analyse the stability of interval matrices. Examples are given to demonstrate the merit of the proposed theorems.     

样条函数在系统频域分析中的应用——系统动态响应实用分析方法之二（对数频率特性法）

自动控制系统的动态性能的分析方法包括时域分析法,频域分析法,及稳定性判据。具体的分析法有微分方程,传递函数,方框图,伯德图,奈奎斯特图和根轨迹等。对数频率特性法是频域分析中应用较为广泛的一种。文章从自动控制系统的动态性能分析方法入手,着重探讨了样条函数在系统频域分析中的应用,并举例加以说明。