为了求解不可微函数的极小值,Shor引入了空间扩张算子,并依此而构造了一类沿梯度空间扩张(Space Dilation along the Gradient)算法,简记为SDG算法。本文将指出SDG算法具有二次有限终止性,同时也指出了SDG算法与共轭方向法的关系。设可...为了求解不可微函数的极小值,Shor引入了空间扩张算子,并依此而构造了一类沿梯度空间扩张(Space Dilation along the Gradient)算法,简记为SDG算法。本文将指出SDG算法具有二次有限终止性,同时也指出了SDG算法与共轭方向法的关系。设可以表示成由(1)式易知根据(1)式定义算子R_a(ξ)被称为沿方向ξ、系数为a的空间扩张算子。容易验证算子R_a(ξ)的矩阵表示如下:展开更多
In order to meet the precision requirements and tracking performance of the continuous rotary motor electro-hydraulic servo system under unknown strong non-linear and uncertain strong disturbance factors,such as dynam...In order to meet the precision requirements and tracking performance of the continuous rotary motor electro-hydraulic servo system under unknown strong non-linear and uncertain strong disturbance factors,such as dynamic uncertainty and parameter perturbation,an improved active disturbance rejection control(ADRC)strategy was proposed.The state space model of the fifth order closed-loop system was established based on the principle of valve-controlled hydraulic motor.Then the three parts of ADRC were improved by parameter perturbation and external disturbance;the fast tracking differentiator was introduced into linear and non-linear combinations;the nonlinear state error feedback was proposed using synovial control;the extended state observer was determined by nonlinear compensation.In addition,the grey wolf algorithm was used to set the parameters of the three parts.The simulation and experimental results show that the improved ADRC can realize the system frequency 12 Hz when the tracking accuracy and response speed meet the requirements of double ten indexes,which lay foundation for the motor application.展开更多
文摘为了求解不可微函数的极小值,Shor引入了空间扩张算子,并依此而构造了一类沿梯度空间扩张(Space Dilation along the Gradient)算法,简记为SDG算法。本文将指出SDG算法具有二次有限终止性,同时也指出了SDG算法与共轭方向法的关系。设可以表示成由(1)式易知根据(1)式定义算子R_a(ξ)被称为沿方向ξ、系数为a的空间扩张算子。容易验证算子R_a(ξ)的矩阵表示如下:
基金Project(51975164)supported by the National Natural Science Foundation of ChinaProject(2019-KYYWF-0205)supported by the Fundamental Research Foundation for Universities of Heilongjiang Province,China。
文摘In order to meet the precision requirements and tracking performance of the continuous rotary motor electro-hydraulic servo system under unknown strong non-linear and uncertain strong disturbance factors,such as dynamic uncertainty and parameter perturbation,an improved active disturbance rejection control(ADRC)strategy was proposed.The state space model of the fifth order closed-loop system was established based on the principle of valve-controlled hydraulic motor.Then the three parts of ADRC were improved by parameter perturbation and external disturbance;the fast tracking differentiator was introduced into linear and non-linear combinations;the nonlinear state error feedback was proposed using synovial control;the extended state observer was determined by nonlinear compensation.In addition,the grey wolf algorithm was used to set the parameters of the three parts.The simulation and experimental results show that the improved ADRC can realize the system frequency 12 Hz when the tracking accuracy and response speed meet the requirements of double ten indexes,which lay foundation for the motor application.
