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A Numerical-analytic Method for Quickly Predicting Springback of Numerical Control Bending of Thin-walled Tube 被引量:4
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作者 Mei ZHAN He YANG Liang HUANG 《Journal of Materials Science & Technology》 SCIE EI CAS CSCD 2006年第5期713-720,共8页
Springback is one of important factors influencing the forming quality of numerical control (NC) bending of thin-walled tube. In this paper, a numerical-analytic method for springback angle prediction of the process... Springback is one of important factors influencing the forming quality of numerical control (NC) bending of thin-walled tube. In this paper, a numerical-analytic method for springback angle prediction of the process was put forward. The method is based on springback angle model derived using analytic method and simulation results from three-dimensional (3D) rigid-plastic finite element method (FEM). The method is validated through comparison with experimental results. The features of the method are as follows: (1) The method is high in efficiency because it combines advantages of rigid-plastic FEM and analytic method. (2) The method is satisfactory in accuracy, since the field variables used in the model is resulting from 3D rigid-plastic FEM solution, and the effects both of axial force and strain neutral axis shift have been included. (3) Research on multi-factor effects can be carried out using the method due to its advantage inheriting from rigid-plastic FEM. The method described here is also of general significance to other bending processes. 展开更多
关键词 Thin-walled tube Numerical control bending SPRINGBACK Numerical-analytic method 3d rigid-plastic FEM
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基于D分割的LCL型并网逆变器控制参数设计
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作者 马遵 王丹阳 +2 位作者 孟贤 肖文勋 朱林 《电力系统及其自动化学报》 北大核心 2025年第3期11-18,共8页
LCL型并网逆变器的控制参数会影响并网电流的质量,为解决传统控制参数设计方法无法结合多个性能指标进行参数整定的问题,本文针对LCL型并网逆变器进行建模和控制参数设计。采用D分割法进行控制器参数综合设计,结合裕度测试器,得到同时... LCL型并网逆变器的控制参数会影响并网电流的质量,为解决传统控制参数设计方法无法结合多个性能指标进行参数整定的问题,本文针对LCL型并网逆变器进行建模和控制参数设计。采用D分割法进行控制器参数综合设计,结合裕度测试器,得到同时满足幅值裕度、相位裕度、电流环带宽等多性能指标的控制器多目标参数稳定域。此外,本文使用D分割法分析在LCL滤波器参数存在偏差时参数稳定域的变化趋势,实现在滤波器参数扰动情况下的LCL型并网逆变器控制参数的精确设计。最后,通过仿真验证了所提综合设计方法的正确性和有效性。 展开更多
关键词 控制器参数设计 并网逆变器 比例积分控制器 d分割法 稳定性分析
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A case study of multi-seam coal mine entry stability analysis with strength reduction method 被引量:7
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作者 Tulu Ihsan Berk Esterhuizen Gabriel S. +3 位作者 Klemetti Ted Murphy Michael M. Sumner James Sloan Michael 《International Journal of Mining Science and Technology》 SCIE EI CSCD 2016年第2期193-198,共6页
In this paper,the advantage of using numerical models with the strength reduction method(SRM) to evaluate entry stability in complex multiple-seam conditions is demonstrated.A coal mine under variable topography from ... In this paper,the advantage of using numerical models with the strength reduction method(SRM) to evaluate entry stability in complex multiple-seam conditions is demonstrated.A coal mine under variable topography from the Central Appalachian region is used as a case study.At this mine,unexpected roof conditions were encountered during development below previously mined panels.Stress mapping and observation of ground conditions were used to quantify the success of entry support systems in three room-and-pillar panels.Numerical model analyses were initially conducted to estimate the stresses induced by the multiple-seam mining at the locations of the affected entries.The SRM was used to quantify the stability factor of the supported roof of the entries at selected locations.The SRM-calculated stability factors were compared with observations made during the site visits,and the results demonstrate that the SRM adequately identifies the unexpected roof conditions in this complex case.It is concluded that the SRM can be used to effectively evaluate the likely success of roof supports and the stability condition of entries in coal mines. 展开更多
关键词 Coal mine ground control Multiple seam mining Phase 2 FLAC3d Strength reduction method Roof supports
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Control and Synchronization with Known and Unknown Parameters 被引量:1
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作者 Maysoon M. Aziz Saad Fawzi Al-Azzawi 《Applied Mathematics》 2016年第3期292-303,共12页
In this paper, we consider the chaos control for 4D hyperchaotic system by two cases, known & unknown parameters based on Lyapunov stability theory via nonlinear control. We find that there are two cofactors that ... In this paper, we consider the chaos control for 4D hyperchaotic system by two cases, known & unknown parameters based on Lyapunov stability theory via nonlinear control. We find that there are two cofactors that have an effect on determining any case to achieve the control, the two cofactors are proposed in the control and the matrix that produce from the time derivative of Lyapunov function. In adding, we find some weakness cases in Lyapunov stability theory. For this reason, we design with only one controller and perform a simple change in this control in order to recognize the difference between these cases although all of the controllers are almost similar. 展开更多
关键词 4d Hyperchaotic System control SYNCHRONIZATION Lyapunov Stability Theory Nonlinear control method
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基于D-H门座式起重机自动化运动学分析
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作者 高玉军 李松 +3 位作者 褚衍刚 段胜健 徐鑫 刘明 《中国工程机械学报》 北大核心 2025年第4期596-600,605,共6页
为解决门机作业司机工作强度大、工人技术要求高等问题,在介绍门机的工作原理的情况下,使用D-H法建立了门机机械结构的运动学方程,并利用正运动学对方程进行了求解;通过Matlab软件中的Robotics Toolbox工具包建立了运动学仿真模型,并通... 为解决门机作业司机工作强度大、工人技术要求高等问题,在介绍门机的工作原理的情况下,使用D-H法建立了门机机械结构的运动学方程,并利用正运动学对方程进行了求解;通过Matlab软件中的Robotics Toolbox工具包建立了运动学仿真模型,并通过对末端轨迹求解,验证了运行学方程和模型的正确性,得到了模型各关节位移、速度、加速度的曲线仿真曲线,整个模型运动曲线连续平稳,具有较高的稳定性,符合工作实际;以门座式起重机为基础进行门机位置控制实验,提出了一种数值定位方式,结合提出的运动学方程实现了精确定位,为门机自动化作业提供了借鉴。 展开更多
关键词 门座式起重机 d-H法 MATLAB 定位控制
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基于D-优化设计法的抑尘剂制备及性能研究
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作者 秦剑云 刘涛 +1 位作者 李东涛 李小超 《煤矿安全》 北大核心 2025年第3期84-92,共9页
为有效治理煤炭生产过程中所产生的煤尘,以榆树岭煤矿可吸入煤尘为研究对象,采用D-优化设计法,建立了抑尘剂配比与蒸发量、成膜时间之间的回归模型,探究了脂肪酸甲酯磺酸钠、聚丙烯酸钠以及氯化钙的最优配比,分析了三者的单因子作用与... 为有效治理煤炭生产过程中所产生的煤尘,以榆树岭煤矿可吸入煤尘为研究对象,采用D-优化设计法,建立了抑尘剂配比与蒸发量、成膜时间之间的回归模型,探究了脂肪酸甲酯磺酸钠、聚丙烯酸钠以及氯化钙的最优配比,分析了三者的单因子作用与因子间交互作用,并通过硬度、抗风蚀性、保水性等特征参量研究了其抑尘性能。结果表明:抑尘剂的蒸发量和成膜时间受单因子影响及因子间交互作用的影响;以最佳配比制备的抑尘剂Ⅰ(产物)成膜时间为36 min,蒸发量为2.5 g,与回归模型预测结果基本一致;喷洒产物于煤尘表面后,硬度达到78 HA,平均蒸发量低于0.1 g;在10 m/s的风速作用下,抑尘率为95.5%;喷洒抑尘剂的煤样表面颗粒出现明显黏结团聚,形成了固化层抵御风流扰动,有效降低了粉尘的飞扬能力。 展开更多
关键词 抑尘剂 d-优化设计法 抗蒸发性 表面固结 粉尘防治
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Expert consensus on digital restoration of complete dentures
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作者 Yue Feng Zhihong Feng +25 位作者 Jing Li Jihua Chen Haiyang Yu Xinquan Jiang Yongsheng Zhou Yumei Zhang Cui Huang Baiping Fu Yan Wang Hui Cheng Jianfeng Ma Qingsong Jiang Hongbing Liao Chufan Ma Weicai Liu Guofeng Wu Sheng Yang Zhe Wu Shizhu Bai Ming Fang Yan Dong Jiang Wu Lin Niu Ling Zhang Fu Wang Lina Niu 《International Journal of Oral Science》 2025年第5期597-607,共11页
Digital technologies have become an integral part of complete denture restoration.With advancement in computer-aided design and computer-aided manufacturing(CAD/CAM),tools such as intraoral scanning,facial scanning,3D... Digital technologies have become an integral part of complete denture restoration.With advancement in computer-aided design and computer-aided manufacturing(CAD/CAM),tools such as intraoral scanning,facial scanning,3D printing,and numerical control machining are reshaping the workflow of complete denture restoration.Unlike conventional methods that rely heavily on clinical experience and manual techniques,digital technologies offer greater precision,predictability,and efficacy.They also streamline the process by reducing the number of patient visits and improving overall comfort.Despite these improvements,the clinical application of digital complete denture restoration still faces challenges that require further standardization.The major issues include appropriate case selection,establishing consistent digital workflows,and evaluating long-term outcomes.To address these challenges and provide clinical guidance for practitioners,this expert consensus outlines the principles,advantages,and limitations of digital complete denture technology.The aim of this review was to offer practical recommendations on indications,clinical procedures and precautions,evaluation metrics,and outcome assessment to support digital restoration of complete denture in clinical practice. 展开更多
关键词 manual techniquesdigital conventional methods numerical control machining clinical experience denture restorationunlike intraoral scanningfacial scanning d printingand denture restorationwith digital technologies
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电动伺服基于PD控制闭环周期的影响分析
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作者 董斌 陈佳馨 +1 位作者 穆晓敬 孙栋梁 《遥测遥控》 2025年第6期102-110,共9页
随着电子技术和电机PWM控制技术的发展,电动伺服系统逐渐由模拟体制向数字体制转变。闭环控制周期是数字化伺服系统中的一个关键参数,它受到系统机动性、硬件资源、供电能力、功能性能等诸多制约,因此必须权衡设计闭环周期。目前国内外... 随着电子技术和电机PWM控制技术的发展,电动伺服系统逐渐由模拟体制向数字体制转变。闭环控制周期是数字化伺服系统中的一个关键参数,它受到系统机动性、硬件资源、供电能力、功能性能等诸多制约,因此必须权衡设计闭环周期。目前国内外针对伺服系统闭环周期论述的文献较少。本文以电动舵机伺服系统为研究对象,首先详细分析了电动舵机伺服系统的组成、工作原理及信号传输链路;接着对电动舵机伺服系统进行数学建模,以及P-D控制律设计;然后基于Simulink建立了伺服系统仿真模型,分析不同闭环控制周期对系统各性能的影响;最后搭建实验平台,验证不同闭环周期对伺服系统性能的影响。仿真分析得出:随着闭环周期增大,阶跃响应速度有所减小;适当地增加闭环周期,能在一定程度上减小瞬态电流,避免大的瞬态电流拉低系统电压从而造成计算机复位的风险。本文研究对开展伺服系统和与其交互的平台系统正向设计具有一定的指导意义。 展开更多
关键词 伺服系统 P-d控制 闭环控制周期 电动舵机
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DSP Based Simulator for Speed Control of the Synchronous Reluctance Motor Using Hysteresis Current Controller
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作者 Abdel-Karim Daud Basim Alsayid 《Energy and Power Engineering》 2013年第5期363-371,共9页
This paper presents the field oriented vector control scheme for synchronous reluctance motor (SRM) drives, where current controller followed by hysteresis comparator is used. The test motor has a star-connected wound... This paper presents the field oriented vector control scheme for synchronous reluctance motor (SRM) drives, where current controller followed by hysteresis comparator is used. The test motor has a star-connected wound stator and a segmental rotor of the multiple barrier type with an external incremental encoder to sense rotor position. The magnetic characteristics of this motor are described using 2D finite element method, which is used firstly for rotor design of SRM. The field oriented vector control, that regulates the speed of the SRM, is provided by a quadrature axis current command developed by the speed controller. The simulation includes all realistic components of the system. This enables the calculation of currents and voltages in different parts of the voltage source inverter (VSI) and motor under transient and steady state conditions. Implementation has been done in MATLAB/Simulink. A study of hysteresis control scheme associated with current controllers has been made. Experimental results of the SRM control using TMS320F24X DSP board are presented. The speed of the SRM is successfully controlled in the constant torque region. Experimental results of closed loop speed control of the SRM are given to verify the proposed scheme. 展开更多
关键词 Field Oriented control 2d Finite Element method SRM HYSTERESIS Current controller dSP MATLAB/SIMULINK
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Randomized Controlled Trials and Ph.D. Level Training in Educational Research
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作者 Robert Boruch Erling Boe 《Journal of Mathematics and System Science》 2012年第2期94-101,共8页
This invited paper reviews recent initiatives in teaching about randomized field trials at the graduate level in education research. Reports in a book on randomized trials by Mosteller and Boruch are used as a benchma... This invited paper reviews recent initiatives in teaching about randomized field trials at the graduate level in education research. Reports in a book on randomized trials by Mosteller and Boruch are used as a benchmark. The initiatives have been driven heavily by recent governmental emphasis on "evidence based policy" in education, criminology, welfare and other sectors. This policy has been backed, in the US at least, by substantial investments in mounting randomized controlled trials to evaluate curriculum packages and programs in grades K-12, crime prevention programs, welfare, and other work. Accelerated growth in randomized trials has entailed cross discipline pre-doctoral and post-doctoral institutes and graduate education programs aimed at enhancing the quality in trial design, execution, and analysis of results. Specific illustrations of graduate education in this area of statistics are taken mainly from experience at the University of Pennsylvania's Graduate School of Education and selected other institutions. 展开更多
关键词 Randomized controlled trials quantitative methods Ph.d. training in quantitative methods educational research Institute of Education Sciences.
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Non-Fragile Controller Design for 2-D Discrete Uncertain Systems Described by the Roesser Model
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作者 Amit Dhawan 《Journal of Signal and Information Processing》 2012年第2期248-251,共4页
This paper is concerned with the design problem of non-fragile controller for a class of two-dimensional (2-D) discrete uncertain systems described by the Roesser model. The parametric uncertainties are assumed to be ... This paper is concerned with the design problem of non-fragile controller for a class of two-dimensional (2-D) discrete uncertain systems described by the Roesser model. The parametric uncertainties are assumed to be norm-bounded. The aim of this paper is to design a memoryless non-fragile state feedback control law such that the closed-loop system is asymptotically stable for all admissible parameter uncertainties and controller gain variations. A new linear matrix inequality (LMI) based sufficient condition for the existence of such controllers is established. Finally, a numerical example is provided to illustrate the applicability of the proposed method. 展开更多
关键词 2-d dISCRETE Systems NON-FRAGILE control Roesser Model Linear MATRIX INEQUALITY LYAPUNOV methods
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Robust Suboptimal Guaranteed Cost Control for 2-D Discrete Systems Described by Fornasini-Marchesini First Model
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作者 Manish Tiwari Amit Dhawan 《Journal of Signal and Information Processing》 2012年第2期252-258,共7页
This paper considers the guaranteed cost control problem for a class of two-dimensional (2-D) uncertain discrete systems described by the Fornasini-Marchesini (FM) first model with norm-bounded uncertainties. New line... This paper considers the guaranteed cost control problem for a class of two-dimensional (2-D) uncertain discrete systems described by the Fornasini-Marchesini (FM) first model with norm-bounded uncertainties. New linear matrix inequality (LMI) based characterizations are presented for the existence of static-state feedback guaranteed cost controller which guarantees not only the asymptotic stability of closed loop systems, but also an adequate performance bound over all the admissible parameter uncertainties. Moreover, a convex optimization problem is formulated to select the suboptimal guaranteed cost controller which minimizes the upper bound of the closed-loop cost function. 展开更多
关键词 Guaranteed Cost control Linear Matrix INEQUALITY LYAPUNOV methods ROBUST Stability 2-d discrete SYSTEMS UNCERTAIN SYSTEMS
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Robust Non-Fragile Control of 2-D Discrete Uncertain Systems: An LMI Approach
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作者 Paramanand Sharma Amit Dhawan 《Journal of Signal and Information Processing》 2012年第3期377-381,共5页
This paper considers the problem of robust non-fragile control for a class of two-dimensional (2-D) discrete uncertain systems described by the Fornasini-Marchesini second local state-space (FMSLSS) model under contro... This paper considers the problem of robust non-fragile control for a class of two-dimensional (2-D) discrete uncertain systems described by the Fornasini-Marchesini second local state-space (FMSLSS) model under controller gain variations. The parameter uncertainty is assumed to be norm-bounded. The problem to be addressed is the design of non-fragile robust controllers via state feedback such that the resulting closed-loop system is asymptotically stable for all admissible parameter uncertainties and controller gain variations. A sufficient condition for the existence of such controllers is derived based on the linear matrix inequality (LMI) approach combined with the Lyapunov method. Finally, a numerical example is illustrated to show the contribution of the main result. 展开更多
关键词 2-d dISCRETE Systems Fornasini-Marchesini Second Local STATE-SPACE Model NON-FRAGILE control Linear Matrix INEQUALITY Lyapunov methods
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用D-d方法分析单周控制CUK电路的动态特性 被引量:9
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作者 李崇坚 韦立祥 +2 位作者 寿晓强 刘丛伟 李发海 《中国电机工程学报》 EI CSCD 北大核心 1999年第2期32-36,共5页
单周控制方法是近年来提出的一种新型的非线性控制方法。该方法具有快速的动态跟踪能力、良好的鲁棒性和高质量的输出波形等优点。文章提出了基于平均状态空间方法的D-d法,对单周控制CUK电路的动态稳定性进行了较为详细的分析。... 单周控制方法是近年来提出的一种新型的非线性控制方法。该方法具有快速的动态跟踪能力、良好的鲁棒性和高质量的输出波形等优点。文章提出了基于平均状态空间方法的D-d法,对单周控制CUK电路的动态稳定性进行了较为详细的分析。实验和仿真结果表明:这种方法算法简单、物理概念清晰,还可获得该电路较为精确的动态稳定区域。 展开更多
关键词 单周控制 d-d CUK电路 变换器
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自由飞行空间机器人的遥操作分数阶PID控制(英文) 被引量:5
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作者 时中 黄学祥 +1 位作者 谭谦 胡天健 《控制理论与应用》 EI CAS CSCD 北大核心 2016年第6期800-808,共9页
作为空间操控的重要手段,空间遥操作将趋向于更精细和更灵活.然而传统的空间遥操作控制方法难以兼顾操作的精细性和灵活性.针对这一问题,本文阐述了一种面向自由飞行空间机器人的遥操作分数阶PID控制方法.首先根据自由飞行空间机器人的... 作为空间操控的重要手段,空间遥操作将趋向于更精细和更灵活.然而传统的空间遥操作控制方法难以兼顾操作的精细性和灵活性.针对这一问题,本文阐述了一种面向自由飞行空间机器人的遥操作分数阶PID控制方法.首先根据自由飞行空间机器人的动力学模型,设计了空间遥操作分数阶PID控制系统.其次,针对空间遥操作时滞系统和系统的鲁棒性和抗干扰性要求,基于系统的参数稳定域,对分数阶PID控制器的参数进行整定.最后,数值仿真和地面遥操作实验验证了分数阶PID控制器的跟踪性能、抗干扰性、鲁棒性和抗时延抖动性能.因此,本文设计的分数阶PID控制器不仅适合于空间遥操作复杂时滞系统,而且可以满足未来空间遥操作任务的发展需求. 展开更多
关键词 空间遥操作 PId控制 分数阶微积分 参数稳定域 d–分割法
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D类音频功率放大器控制方式综述 被引量:20
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作者 龚伟 周雒维 《重庆大学学报(自然科学版)》 EI CAS CSCD 北大核心 2003年第2期117-122,共6页
D类放大器虽然具有很高的效率 ,但由于功率晶体管的开关工作方式 ,D类放大器引入的失真通常大于线性放大器 ,这也是目前D类放大器在音频放大领域并未得到广泛应用的主要原因。D类放大器的控制方式是影响其性能的关键因素之一 ,研究适合... D类放大器虽然具有很高的效率 ,但由于功率晶体管的开关工作方式 ,D类放大器引入的失真通常大于线性放大器 ,这也是目前D类放大器在音频放大领域并未得到广泛应用的主要原因。D类放大器的控制方式是影响其性能的关键因素之一 ,研究适合的控制方法以改善D类放大器的保真度 ,是近年来电力电子技术和音频功率放大领域研究的热点。 展开更多
关键词 音频功率放大器 控制方式 d为放大器 PMW 脉冲宽度调制 THd 谐波畸变率 自然采样 统一采样 单周控制
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基于直接电流控制的D-STATCOM动态建模与系统仿真 被引量:10
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作者 宋昭昭 马小平 汪毅 《电测与仪表》 北大核心 2012年第6期57-60,共4页
配电网静止同步无功补偿器D-STATCOM是重要的用户电力设备,能够有效解决配电网中电压波动与闪变、三相电压不平衡、电网谐波污染等电能质量问题。针对配电网静止无功补偿器D-STATCOM的动态性能,用开关函数法建立了D-STATCOM的动态数学模... 配电网静止同步无功补偿器D-STATCOM是重要的用户电力设备,能够有效解决配电网中电压波动与闪变、三相电压不平衡、电网谐波污染等电能质量问题。针对配电网静止无功补偿器D-STATCOM的动态性能,用开关函数法建立了D-STATCOM的动态数学模型,然后依据瞬时无功理论对直接电流控制的D-STATCOM控制系统进行了设计。根据所建立的数学模型和控制系统,搭建了D-STATCOM的系统仿真模型,得到了D-STATCOM的动态仿真图。仿真结果表明,基于直接电流控制的D-STATCOM具有良好的动态性能。 展开更多
关键词 配电网静止无功补偿器 直接电流控制 d-STATCOM 瞬时无功理论
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基于θ-D方法的方位角约束自主交会控制 被引量:3
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作者 沈昱恒 侯明善 赵启明 《宇航学报》 EI CAS CSCD 北大核心 2010年第8期1976-1981,共6页
基于θ-D方法研究了视线坐标系内带有方位角约束的自主交会控制问题。根据轨道坐标系相对运动模型,建立视线相对动力学模型。针对该模型具有非线性强耦合的特点,采用θ-D次优控制算法设计了自主交会的闭环控制方法,并讨论了加权矩阵选... 基于θ-D方法研究了视线坐标系内带有方位角约束的自主交会控制问题。根据轨道坐标系相对运动模型,建立视线相对动力学模型。针对该模型具有非线性强耦合的特点,采用θ-D次优控制算法设计了自主交会的闭环控制方法,并讨论了加权矩阵选取原则。所设计的交会最优控制方法不需要实时求解状态相关黎卡提方程和哈密顿-雅可比-贝尔曼方程,使自主交会控制获得了简易性和快速性,同时实现了对交会方位角的控制,解决了对接口指向不同方位的交会问题。最后,数值仿真验证了控制方法的有效性,克服了交会模型的非线性和参数不确定性,且对于目标圆和椭圆轨道交会任务均适用。 展开更多
关键词 自主交会 视线 θ-d方法 次优控制 方位角
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基于θ-D非线性控制方法的伴随轨道控制 被引量:2
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作者 罗建军 周文勇 袁建平 《中国空间科学技术》 EI CSCD 北大核心 2009年第2期1-7,24,共8页
为了实现燃料消耗最少的伴随轨道控制,研究使用θ-D次优非线性控制方法设计伴随轨道的优化控制律。相对运动模型中考虑了地球形状摄动的影响,且适用于在椭圆轨道上运行的目标航天器。采用状态变量增广法,对相对运动模型进行处理,以满足... 为了实现燃料消耗最少的伴随轨道控制,研究使用θ-D次优非线性控制方法设计伴随轨道的优化控制律。相对运动模型中考虑了地球形状摄动的影响,且适用于在椭圆轨道上运行的目标航天器。采用状态变量增广法,对相对运动模型进行处理,以满足θ-D控制方法的要求。采用相对轨道要素设计了理想的基准伴随轨道。仿真计算结果表明,所设计的控制律是稳定的,能够以较少的燃料消耗实现伴随轨道的控制。 展开更多
关键词 θ-d非线性控制方法 相对运动模型 伴随轨道 轨道控制 航天器
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基于SDRE的永磁同步电动机的近似最优控制 被引量:1
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作者 逄海萍 刘亭利 《微电机》 北大核心 2012年第1期20-24,55,共6页
针对具有仿射非线性模型的永磁同步电动机,研究其非二次型性能指标的最优控制问题。非线性非二次型最优控制问题导致难以求解的HJB(Hamilton Jacobi Bellman)方程,为避免这一难题,首先采用SDRE(State-Depend-ent Riccati Equation)法将... 针对具有仿射非线性模型的永磁同步电动机,研究其非二次型性能指标的最优控制问题。非线性非二次型最优控制问题导致难以求解的HJB(Hamilton Jacobi Bellman)方程,为避免这一难题,首先采用SDRE(State-Depend-ent Riccati Equation)法将其转化成状态相关的Riccati方程求解问题。SDRE法需要在每一次采样时刻实时地求解一个代数Riccati方程,在高阶系统中巨大的运算耗时使得SDRE控制器难以实现,为此进一步采用一种有效求解SDRE控制器的方法 -θ-d法,它只需求解一次与初始状态相关的代数Riccati方程,控制器的其余参数均可离线通过矩阵的相关运算获得,从而大大地减少了在线计算量。另外,SDRE方法可以通过适当选取状态相关的加权矩阵,以较小的控制作用获得与常量权矩阵相近甚至更好的控制效果。最后,以永磁同步电动机为实例进行的仿真验证了本文方法的有效性与可行性。 展开更多
关键词 永磁同步电动机 SdRE θ-d方法 最优控制
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