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Model Reference Adaptive Control for Switched Systems with Closed-loop Reference Model Under Arbitrary Switching
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作者 Hao Yang Jing Xie Jun Zhao 《Journal of Harbin Institute of Technology(New Series)》 EI CAS 2019年第3期35-42,共8页
This paper explores the model reference adaptive control problem for a class of switched linear systems under arbitrary switching with no need for the measurability of the system state.Based on the state of reference ... This paper explores the model reference adaptive control problem for a class of switched linear systems under arbitrary switching with no need for the measurability of the system state.Based on the state of reference model and the measurable output error, adaptive laws and controllers are designed for switched systems.Each subsystem may have its individual reference model and controller, which increases the design flexibility.The introduction of the closed-loop reference model is to get a better transient performance of the whole switched systems.A numerical example is provided to verify the effectiveness of the main results. 展开更多
关键词 SWITCHED systems model reference adaptive control common LYAPUNOV function arbitrary switching the CLOSED-LOOP reference model
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Robust model-reference control for descriptor linear systems subject to parameter uncertainties 被引量:1
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作者 Guangren DUAN Biao ZHANG 《控制理论与应用(英文版)》 EI 2007年第3期213-220,共8页
Robust model-reference control for descriptor linear systems with structural parameter uncertainties is investigated. A sufficient condition for existing a model-reference zero-error asymptotic tracking controller is ... Robust model-reference control for descriptor linear systems with structural parameter uncertainties is investigated. A sufficient condition for existing a model-reference zero-error asymptotic tracking controller is given. It is shown that the robust model reference control problem can be decomposed into two subproblems: a robust state feedback stabilization problem for descriptor systems subject to parameter uncertainties and a robust compensation problem. The latter aims to find three coefficient matrices which satisfy four matrix equations and simultaneously minimize the effect of the uncertainties to the tracking error. Based on a complete parametric solution to a class of generalized Sylvester matrix equations, the robust compensation problem is converted into a minimization problem with quadratic cost and linear constraints. A numerical example shows the effect of the proposed approach. 展开更多
关键词 Descriptor linear systems model-reference control Parameter uncertainties Robust stabilization Robust compensation
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An Experimental Study on Microcomputer Control of Pump Controlled Motor Systems
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作者 彭秀东 刘志刚 +1 位作者 金志立 胡佑德 《Journal of Beijing Institute of Technology》 EI CAS 1992年第1期59-65,共7页
Pump controlled motor electrohydraulic servo systems are much used in circumstances where high power drive is needed. This kind of system has the advantage of energy-saving. But, it also has some defects that have to ... Pump controlled motor electrohydraulic servo systems are much used in circumstances where high power drive is needed. This kind of system has the advantage of energy-saving. But, it also has some defects that have to be improved. Microcomputer control of a pump controlled motor electrohydraulic servo system is studied. A PID controller is first adopted on the closed loop control system, and experimental results are obtained. Then, a model reference adaptive controller is designed and realised on the same system applying a single board microcomputer. Experimental results show that the dynamic properties of the adaptive control system is much better than those of the PID system under different inertia load conditions. 展开更多
关键词 electrohydraulic servo systems adaptive control/pump controlled motor microcomputer control model reference
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Robustness Analysis of Discrete-time Indirect Model Reference Adaptive Control with Normalized Adaptive Laws 被引量:2
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作者 Qing-Zheng Gao Xue-Jun Xie 《International Journal of Automation and computing》 EI 2010年第3期381-388,共8页
For a class of discrete-time systems with unmodeled dynamics and bounded disturbance, the design and analysis of robust indirect model reference adaptive control (MRAC) with normalized adaptive law are investigated.... For a class of discrete-time systems with unmodeled dynamics and bounded disturbance, the design and analysis of robust indirect model reference adaptive control (MRAC) with normalized adaptive law are investigated. The main work includes three parts. Firstly, it is shown that the constructed parameter estimation algorithm not only possesses the same properties as those of traditional estimation algorithms, but also avoids the possibility of division by zero. Secondly, by establishing a relationship between the plant parameter estimate and the controller parameter estimate, some similar properties of the latter are also established. Thirdly, by using the relationship between the normalizing signal and all the signals of the closed-loop system, and some important mathematical tools on discrete-time systems, as in the continuous-time case, a systematic stability and robustness analysis approach to the discrete indirect robust MRAC scheme is developed rigorously. 展开更多
关键词 Discrete-time systems model reference adaptive control (MRAC) swapping lemmas STABILITY ROBUSTNESS
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Discrete-time Direct Model Reference Adaptive Control: A Systematic Approach 被引量:1
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作者 LI Jun-Ling XIE Xue-Jun 《自动化学报》 EI CSCD 北大核心 2007年第10期1048-1052,共5页
为直接模型引用的分离时间的系统,设计和分析的一个类,有规范的适应法律的适应控制(MRAC ) 被调查。我们责骂在输入和产量之间的 p 和 2 个关系性质上的分离时间的结论,和分离时间的交换词根 1 和 2。我们也建立分离时间的适应法律... 为直接模型引用的分离时间的系统,设计和分析的一个类,有规范的适应法律的适应控制(MRAC ) 被调查。我们责骂在输入和产量之间的 p 和 2 个关系性质上的分离时间的结论,和分离时间的交换词根 1 和 2。我们也建立分离时间的适应法律的性质,定义使正常化的信号,并且联系有在靠近环的系统的所有信号的信号。因此,分离时间的 MRAC 计划的稳定性和集中性质作为在连续时间的案例中以一种系统的方式严厉地被分析。 展开更多
关键词 离散时间系统 控制系统 系统方法 交换引理 模型参考自适应
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A Systematic Analysis Approach to Discrete-time Indirect Model Reference Adaptive Control 被引量:1
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作者 XIE Xue-Jun LI Jun-Ling 《自动化学报》 EI CSCD 北大核心 2007年第11期1170-1175,共6页
这份报纸论述间接模型引用的设计和分析有为分离时间的系统的一个类的规范的适应法律的适应控制(MRAC ) 。主要工作包括三部分。第一,构造工厂参数评价算法不仅拥有传统的评价算法的象那些的一样的性质而且在零避免分割的可能性。第二... 这份报纸论述间接模型引用的设计和分析有为分离时间的系统的一个类的规范的适应法律的适应控制(MRAC ) 。主要工作包括三部分。第一,构造工厂参数评价算法不仅拥有传统的评价算法的象那些的一样的性质而且在零避免分割的可能性。第二,由发现在工厂参数之间的关系,估计和控制器参数估计并且用工厂参数的性质估计,控制器参数估计的类似的性质也被建立。第三,基于关系,在使正常化之间的性质发信号并且在靠近环的系统并且在分离时间的系统上的一些重要数学工具上的所有信号作为在连续时间的盒子中,到分离间接 MRAC 计划的系统的稳定性和集中分析途径严厉地被开发。 展开更多
关键词 模型参考自适应控制 不连续时间系统 标准化适应定律 系统分析
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An Advanced FMRL Controller for FACTS Devices to Enhance Dynamic Performance of Power Systems 被引量:1
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作者 Abdellatif Naceri Habib Hamdaoui Mohamed Abid 《International Journal of Automation and computing》 EI 2011年第3期309-316,共8页
The parameters of power system slowly change with time due to environmental effects or may change rapidly due to faults. It is preferable that the control technique in this system possesses robustness for various faul... The parameters of power system slowly change with time due to environmental effects or may change rapidly due to faults. It is preferable that the control technique in this system possesses robustness for various fault conditions and disturbances. The used flexible alternating current transmission system (FACTS) in this paper is an advanced super-conducting magnetic energy storage (ASMES). Many control techniques that use ASMES to improve power system stability have been proposed. While fuzzy controller has proven its value in some applications, the researches applying fuzzy controller with ASMES have been actively reported. However, it is sometimes very difficult to specify the rule base for some plants, when the parameters change. To solve this problem, a fuzzy model reference learning controller (FMRLC) is proposed in this paper, which investigates multi-input multi-output FMRLC for time-variant nonlinear system. This control method provides the motivation for adaptive fuzzy control, where the focus is on the automatic online synthesis and tuning of fuzzy controller parameters (i.e., using online data to continually learn the fuzzy controller that will ensure that the performance objectives are met). Simulation results show that the proposed robust controller is able to work with nonlinear and nonstationary power system (i.e., single machine-infinite bus (SMIB) system), under various fault conditions and disturbances. 展开更多
关键词 Transient power system stability and robustness single machine-infinite bus (SMIB) system flexible alternating currenttransmission system (FACTS) advanced super-conducting magnetic energy storage (ASMES) fuzzy model reference learning controller(FMRLC) adaptive control learning controller.
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Direct model reference adaptive control using K_p = LDU factorization for multivariable discrete-time plants
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作者 Junling LI Xuejun XIE Wei CHEN 《控制理论与应用(英文版)》 EI 2008年第4期392-398,共7页
For a large class of discrete-time multivariable plants with arbitrary relative degrees, the design and analysis of the direct model reference adaptive control scheme are investigated under less restrictive assumption... For a large class of discrete-time multivariable plants with arbitrary relative degrees, the design and analysis of the direct model reference adaptive control scheme are investigated under less restrictive assumptions. The algorithm is based on a new parametrization derived from the high frequency gain matrix factorization Kp=LDU under the condition that the signs of the leading principal minors of/fp are known. By reproving the discrete-time Lp and L2σ norm relationship between inputs and outputs, establishing the properties of discrete-time adaptive law, defining the normalizing signal, and relating the signal with all signals in the closed-loop system, the stability and convergence of the discrete-time multivariable model reference adaptive control scheme are analyzed rigorously in a systematic fashion as in the continuous-time case. 展开更多
关键词 Discrete-time systems Swapping lemma L2σ-nonn Normalizing signal model reference adaptive control
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Design a New Model to Evaluate the Ecological Potential Land for Urban Development and Service (City of Zanjan)
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作者 Roghayeh Parchianloo Raziyeh Rahimi +2 位作者 Maryam Kiani Sadr Abdol Reza Karbasi Alireza Gharagozlo 《Open Journal of Ecology》 2017年第9期581-590,共10页
This study aimed to design a new ecological model to be used in ecological land evaluation studies, using careful planning and sustainable resource in the region to develop a sustainable and comprehensive guide. The r... This study aimed to design a new ecological model to be used in ecological land evaluation studies, using careful planning and sustainable resource in the region to develop a sustainable and comprehensive guide. The results show that the study area has grade 1 and 2 urban sustainable planning. Capability Grade 1 has area 149,724.25 hectares equal 22.2% that is stretched from East to West Range. Capability Grade2 has area about 18533.28 hectares equal 2.7% that located in the South, East and South-East. The results show that the greater extent of this range is the unsustainable site, which extends over 506,664.81 hectares, equivalent to 75.1% that areas compliance by the Environmental Protection area. Another important result of this study is unsuitable area for urban development and the range of services already seating workshops and industrial units. This is due to the arrival of adverse environmental effects. Therefore, this study has been focusing on reform of the status of land of use and the optimal use of the ecological potential. 展开更多
关键词 ECOLOGICAL capability Assessment URBAN Development GEOGRAPHIC Information system Linear MATHEMATICAL model
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A NOTE ON THE MODEL REFERENCE ADAPTIVE CONTROL OF LINEAR PARABOLIC SYSTEMS WITH CONSTANT COEFFICIENTS 被引量:1
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作者 Chaohua JIA 《Journal of Systems Science & Complexity》 SCIE EI CSCD 2011年第6期1110-1117,共8页
The problem of constructing a model reference adaptive control law for an uncertain 1- dimensional parabolic system with one constant coefficient is considered in this paper. Adaptive control law are obtained by Lyapu... The problem of constructing a model reference adaptive control law for an uncertain 1- dimensional parabolic system with one constant coefficient is considered in this paper. Adaptive control law are obtained by Lyapunov redesign method. The energy method for parabolic systems and the Agmon's inequality are applied in the analysis, which leads to a stronger result than that of Hong and Bentsman (Automatica, 1994). 展开更多
关键词 Adaptive law distributed parameter systems model reference adaptive control parabolic system.
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STATE DERIVATIVE-FREE VARIABLE STRUCTURE MODEL REFERENCE ADAPTIVE CONTROL OF LINEAR PARABOLIC SYSTEMS
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作者 JIA Chaohua SHAO Zhi-Chao 《Journal of Systems Science & Complexity》 SCIE EI CSCD 2013年第6期957-967,共11页
The problem of constructing a model dimensional parabolic system is considered in this reference adaptive control law for an uncertain 1- article. The controller designed here involves only the plant state but no its ... The problem of constructing a model dimensional parabolic system is considered in this reference adaptive control law for an uncertain 1- article. The controller designed here involves only the plant state but no its derivatives. A priori bounds on the plant's uncertain parameters are used to propose switching laws which serve as an adaptive mechanism. The exponential decay to zero of the state error with any prescribed rate is guaranteed by choosing a controller parameter correspondingly. Numerical studies are also presented to illustrate the applicability of the control law. 展开更多
关键词 Distributed parameter systems model reference adaptive control parabolicsystems.
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基于SystemC的功能模型的建模和验证技术研究 被引量:2
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作者 贺明月 彭德生 《电子质量》 2016年第3期70-79,共10页
近年来,FPGA(Field Programmable Gate Array)设计验证技术成了当前的研究热点,设计的可靠性影响着产品的可靠性,因此验证工作变得尤为重要。但是随着产品更新换代速度的加快,传统的验证方法的停滞不前使得验证面临着严峻的挑战,因此鉴... 近年来,FPGA(Field Programmable Gate Array)设计验证技术成了当前的研究热点,设计的可靠性影响着产品的可靠性,因此验证工作变得尤为重要。但是随着产品更新换代速度的加快,传统的验证方法的停滞不前使得验证面临着严峻的挑战,因此鉴于现在验证的瓶颈,提出一种高效的验证方法,即在DUT(Design Under Test)实现之前先进行功能模型的编写,经过验证后重用做参考模型,能有效解决传统验证所面临的问题,提高了验证效率和准确率。 展开更多
关键词 system C 功能模型 图像处理 参考模型 验证
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Comparison of Two Novel MRAS Based Strategies for Identifying Parameters in Permanent Magnet Synchronous Motors 被引量:7
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作者 Kan Liu Qiao Zhang +3 位作者 Zi-Qiang Zhu Jing Zhang An-Wen Shen Paul Stewart 《International Journal of Automation and computing》 EI 2010年第4期516-524,共9页
Two model reference adaptive system (MRAS) estimators are developed for identifying the parameters of permanent magnet synchronous motors (PMSM) based on the Lyapunov stability theorem and the Popov stability crit... Two model reference adaptive system (MRAS) estimators are developed for identifying the parameters of permanent magnet synchronous motors (PMSM) based on the Lyapunov stability theorem and the Popov stability criterion, respectively. The proposed estimators only need online measurement of currents, voltages, and rotor speed to effectively estimate stator resistance, inductance, and rotor flux-linkage simultaneously. The performance of the estimators is compared and verified through simulations and experiments, which show that the two estimators are simple, have good robustness against parameter variation, and are accurate in parameter tracking. However, the estimator based on the Popov stability criterion, which can overcome parameter variation in a practical system, is superior in terms of response speed and convergence speed since there are both proportional and integral units in the estimator, in contrast to only one integral unit in the estimator based on the Lyapunov stability theorem. In addition, the estimator based on the Popov stability criterion does not need the expertise that is required in designing a Lyapunov function. 展开更多
关键词 Permanent magnet synchronous motors (PMSM) model reference adaptive system (MRAS) Lyapunov stability theorem Popov stability criterion parameter identification.
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State tracking model reference adaptive control for switched nonlinear systems with linear uncertain parameters 被引量:1
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作者 Xia WANG Jun ZHAO Yujun TANG 《控制理论与应用(英文版)》 EI 2012年第3期354-358,共5页
Model reference adaptive control (MRAC) is considered for a class of switched nonlinear systems in which the unknown parameters appear linearly. The linear uncertain parameters in each subsystem can be expressed as ... Model reference adaptive control (MRAC) is considered for a class of switched nonlinear systems in which the unknown parameters appear linearly. The linear uncertain parameters in each subsystem can be expressed as a vector and the uncertain vectors in different subsystems are estimated individually by different vector variables. Update laws are designed such that the parameter estimation will 'freeze' until its corresponding subsystem is active. Controllers for subsystems are given to ensure asymptotic states tracking under arbitrary switchings. Two examples are presented to validate the proposed method. 展开更多
关键词 Switched nonlinear system model reference adaptive control State tracking
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Pneumatic Rotary Actuator Angle Control System
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作者 王鹏 彭光正 伍清河 《Journal of Beijing Institute of Technology》 EI CAS 2003年第4期362-365,共4页
Based on the adaptive control method, a kind of parameter adjustor was used to control pneumatic rotary actuator to track the expected output. The system uses electropneumatic proportional valve as control device, whi... Based on the adaptive control method, a kind of parameter adjustor was used to control pneumatic rotary actuator to track the expected output. The system uses electropneumatic proportional valve as control device, which adjusts the gas flow of actuator 's two cavities, then changes the pressure of cavity and pushes the piston of actuator to move, so the rotary actuator 's axis can be made to revolve to the required angle at last. According to the characteristic of pneumatic system, the control system was described with a fourth-order mathematic model. The control rule is deduced by model reference adaptive control method. By the result of experiment, it was proved that by using the adaptive control method, the output of rotary actuator could track the expected value timely and accurately. 展开更多
关键词 pneumatic rotary actuator angle control system mathematic model model reference adaptive control system
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基于改进型ADRC的PMSM无位置传感器控制 被引量:2
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作者 肖芳 谢元宇 +1 位作者 王明辉 林海波 《电机与控制学报》 EI CSCD 北大核心 2024年第4期50-60,共11页
针对永磁同步电机矢量控制中传统速度环PI调节器存在协调性与抗干扰能力差的问题,引入自抗扰控制(ADRC)替代速度环PI调节器,考虑到线性ADRC中PD控制存在性能较差的缺点,选择滑模控制代替PD控制,提出改进型ADRC控制方法;同时采用模型参... 针对永磁同步电机矢量控制中传统速度环PI调节器存在协调性与抗干扰能力差的问题,引入自抗扰控制(ADRC)替代速度环PI调节器,考虑到线性ADRC中PD控制存在性能较差的缺点,选择滑模控制代替PD控制,提出改进型ADRC控制方法;同时采用模型参考自适应系统(MRAS)取代传统机械式位置传感器对电机的转子位置进行检测,实现了永磁同步电机无位置传感器控制。通过采用改进型ADRC与MRAS相结合的控制方法,电机控制系统具有了更好的动态响应速度和抗干扰能力。最后通过永磁同步电机对拖实验平台对电机在转速恒定负载突变和带载启动转速突变两种工况下进行实验,验证了改进型ADRC与MRAS相结合的控制策略的有效性。 展开更多
关键词 永磁同步电机 无位置传感器 滑模控制 自抗扰控制 模型参考自适应
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海洋科学数据共享标准体系框架研究 被引量:1
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作者 王漪 童心 +3 位作者 符昱 陈华 姜晓轶 徐墨庚 《海洋信息技术与应用》 2024年第1期1-7,共7页
本文调研了国内外相关领域标准体系的建设和应用现状,介绍了标准体系的构建原则、方法与技术路线,提出了由标准类型、标准类别和共享生命周期三个维度组成的参考模型,以及由基础标准、数据组织、汇交与整合、数据存储、发布与服务、数... 本文调研了国内外相关领域标准体系的建设和应用现状,介绍了标准体系的构建原则、方法与技术路线,提出了由标准类型、标准类别和共享生命周期三个维度组成的参考模型,以及由基础标准、数据组织、汇交与整合、数据存储、发布与服务、数据利用、评估评价和数据安全8个大类、26个小类组成的海洋科学数据共享标准体系框架,全面覆盖了共享生命周期的关键业务节点,并从统筹构建标准明细表、加强全生命周期关键节点标准规范编制,以及标准宣贯和试点应用等方面提出下一步工作建议。 展开更多
关键词 海洋科学数据共享 参考模型 标准体系框架
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直升机海上应急救援能力评估研究 被引量:1
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作者 张晓全 柳淑亚 《航空工程进展》 CSCD 2024年第3期182-190,共9页
将直升机海上应急救援过程中“事前预防—事中响应—事后恢复”3个阶段的安全问题考虑到应急救援体系中,可有效评估直升机海上应急救援能力,提高其应急救援效率。基于“5W1H”分析法设计研究框架,通过文献分析、问卷调查、专家咨询等方... 将直升机海上应急救援过程中“事前预防—事中响应—事后恢复”3个阶段的安全问题考虑到应急救援体系中,可有效评估直升机海上应急救援能力,提高其应急救援效率。基于“5W1H”分析法设计研究框架,通过文献分析、问卷调查、专家咨询等方法对直升机海上应急救援能力评估指标进行筛选,确定出21项评价指标并构建直升机海上应急救援能力评估指标体系;利用基于D-S证据理论的层次分析法确定指标权重,运用模糊综合评估法构建直升机海上应急救援能力综合评估模型;将该评估模型应用到以海上风机维护人员受伤为例的救援演练中,得分为86.89,判定救援能力为“较强”。结果表明:该评价指标体系和评估模型有一定的实用性,能够有效评估直升机海上应急救援的能力。 展开更多
关键词 直升机救援 海上应急救援能力 评估指标体系 模糊综合评估模型 应急救援演练
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小行星探测器轨道计算的动力学研究
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作者 王宏 鄢建国 +1 位作者 樊敏 李海涛 《中国空间科学技术(中英文)》 CSCD 北大核心 2024年第4期111-118,共8页
针对中国即将开展的小行星探测活动中面临的轨道计算动力学问题进行研究。分析了小行星探测器轨道计算的需求,并对小行星轨道计算中涉及的时空参考系进行了描述,然后对轨道计算所需考虑的动力学模型进行了讨论,并给出了各类摄动加速度... 针对中国即将开展的小行星探测活动中面临的轨道计算动力学问题进行研究。分析了小行星探测器轨道计算的需求,并对小行星轨道计算中涉及的时空参考系进行了描述,然后对轨道计算所需考虑的动力学模型进行了讨论,并给出了各类摄动加速度的计算公式。最大的是太阳引力加速度,约为10^(-6)km/s^(2);最小的是小行星本体摄动加速度,约为10^(-12)~10^(-13)km/s^(2)。利用欧空局Rosetta探测器的实测数据对动力学模型精度进行了验证,结果表明4天弧段位置互差约15 m,速度互差约0.44 mm/s,动力学模型精度可靠。本研究可以为中国小行星探测活动轨道计算提供参考。 展开更多
关键词 小行星探测 时空参考系 轨道计算 动力学模型 引力场 轨道摄动
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The Detection of Inter-Turn Short Circuits in the Stator Windings of Sensorless Operating Induction Motors
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作者 Jean Blaise Teguia Godpromesse Kenne +2 位作者 Alain Tewa Soup Kammogne Georges Collince Fouokeng Arnaud Nanfak 《World Journal of Engineering and Technology》 2021年第3期653-681,共29页
This work proposes an alternative strategy to the use of a speed sensor in <span style="white-space:normal;font-size:10pt;font-family:;" "="">the implementation of active and reactive po... This work proposes an alternative strategy to the use of a speed sensor in <span style="white-space:normal;font-size:10pt;font-family:;" "="">the implementation of active and reactive power based model reference adaptive system (PQ-MRAS) estimator in order to calculate the rotor and stator resistances of an induction motor (IM) and the use of these parameters for the detection of inter-turn short circuits (ITSC) faults in the stator of this motor. The rotor and stator resistance estimation part of the IM is performed by the PQ-MRAS method in which the rotor angular velocity is reconstructed from the interconnected high gain observer (IHGO). The ITSC fault detection part is done by the derivation of stator resistance estimated by the PQ-</span><span style="white-space:normal;font-size:10pt;font-family:;" "="">MRAS estimator. In addition to the speed sensorless detection of ITSC faults of the IM, an approach to determine the number of shorted turns based on the difference between the phase current of the healthy and faulty machine is proposed. Simulation results obtained from the MATLAB/Simulink platform have shown that the PQ-MRAS estimator using an interconnected high-</span><span style="white-space:normal;font-size:10pt;font-family:;" "="">gain observer gives very similar results to those using the speed sensor. The </span><span style="white-space:normal;font-size:10pt;font-family:;" "="">estimation errors in the cases of speed variation and load torque are al</span><span style="white-space:normal;font-size:10pt;font-family:;" "="">mos</span><span style="white-space:normal;font-size:10pt;font-family:;" "="">t identical. Variations in stator and rotor resistances influence the per</span><span style="white-space:normal;font-size:10pt;font-family:;" "="">formance of the observer and lead to poor estimation of the rotor resistance. The results of ITSC fault detection using IHGO are very similar to the results in the literature using the same diagnostic approach with a speed sensor.</span> 展开更多
关键词 Inter-Turn Short Circuits Active and Reactive Power Based model reference Adaptive system Interconnected High Gain Observer Fault Detection
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