The attitude tracking control problem is addressed for hypersonic vehicles under actuator faults that may cause an uncertain time-varying control gain matrix.An adaptive compensation scheme is developed to ensure syst...The attitude tracking control problem is addressed for hypersonic vehicles under actuator faults that may cause an uncertain time-varying control gain matrix.An adaptive compensation scheme is developed to ensure system stability and asymptotic tracking properties,including a kinematic control signal and a dynamic control signal.To deal with the uncertainties of the control gain matrix,a new positive definite one is constructed.The minimum eigenvalue of such a new control gain matrix is estimated.Simulation results of application to an X-33 vehicle model verify the effectiveness of the proposed minimum eigenvalue based adaptive fault compensation scheme.展开更多
We consider the fluctuation of eigenvalues in factor models and propose a new method for testing the model.Based on the characteristics of eigenvalues,variables of unknown distribution are transformed into statistics ...We consider the fluctuation of eigenvalues in factor models and propose a new method for testing the model.Based on the characteristics of eigenvalues,variables of unknown distribution are transformed into statistics of known distribution through randomization.The test statistic checks for breaks in the structure of factor models,including changes in factor loadings and increases in the number of factors.We give the results of simulation experiments and test the factor structure of the stock return data of China’s and U.S.stock markets from January 1,2017,to December 31,2019.Our method performs well in both simulations and real data.展开更多
By using the characteristic properties of the anti-Hermitian generalized anti-Hamiltonian matrices, we prove some necessary and sufficient conditions of the solvability for algebra inverse eigenvalue problem of anti-H...By using the characteristic properties of the anti-Hermitian generalized anti-Hamiltonian matrices, we prove some necessary and sufficient conditions of the solvability for algebra inverse eigenvalue problem of anti-Hermitian generalized anti-Hamiltonian matrices, and obtain a general expression of the solution to this problem. By using the properties of the orthogonal projection matrix, we also obtain the expression of the solution to optimal approximate problem of an n× n complex matrix under spectral restriction.展开更多
A kind of dispatch method for power system eigenvalue control is proposed-in this paper. With the help of this method, not only the low-frequency oscillation of a power system can be prevented and controlled, but also...A kind of dispatch method for power system eigenvalue control is proposed-in this paper. With the help of this method, not only the low-frequency oscillation of a power system can be prevented and controlled, but also the probabilistic power oscillatoin on the interconnection lines of an interconnected power system can be reduced. The proposed method has the advantages of high calculation speed and good convergency. Therefore, the method has much prospect of on-line application.展开更多
单主用户信号的出现主要引起多天线接收信号取样协方差矩阵中极值特征值的变化,而多主用户信号的出现则会同时扰动取样协方差矩阵极值特征值和其他特征值,此时,经典的极值特征值检测算法则会表现出次佳的检测性能。针对这一问题,本研究...单主用户信号的出现主要引起多天线接收信号取样协方差矩阵中极值特征值的变化,而多主用户信号的出现则会同时扰动取样协方差矩阵极值特征值和其他特征值,此时,经典的极值特征值检测算法则会表现出次佳的检测性能。针对这一问题,本研究设计了一种基于极值特征值差与特征值几何平均(difference of extreme eigenvalues and geometric average of eigenvalues,DEEGAE)的多主用户信号检测判决规则;提出了一种基于Wishart矩阵特征值统计分布理论的感知判决门限的闭式求解方法。该算法在频谱感知过程中直接利用认知用户的多天线接收数据构造判决规则并实施感知判决,具有全盲检测的优点;通过融合2种极限特征值门限分析结果,提高了非渐近感知条件下感知结果的准确性。Monte-Carlo仿真试验表明,新算法具有比经典的最大最小特征值之比算法和协方差绝对值检测算法更优的多主用户信号检测性能,同时能获得比传统基于最大最小特征值之差及其改进算法更为可靠的检测结果;与此同时,新算法的检测性能随着样本数目以及天线数目的增大而显著提升。展开更多
“沙戈荒”风电经高压直流输电(line commutated converter based high voltage direct current,LCC-HVDC)送至负荷中心消纳场景中,风机采用虚拟同步机控制(virtual synchronous generator control,VSG)可自行构建输出电压和频率,为LCC-...“沙戈荒”风电经高压直流输电(line commutated converter based high voltage direct current,LCC-HVDC)送至负荷中心消纳场景中,风机采用虚拟同步机控制(virtual synchronous generator control,VSG)可自行构建输出电压和频率,为LCC-HVDC提供换相电压。采用虚拟同步机控制的直驱风电场(virtual synchronous generator direct-drive wind farm,VSG-DDWF)接入LCC-HVDC送端换流站近区时,系统次同步振荡(sub-synchronous oscillation,SSO)特性及机理尚未有定论。首先,文章采用模块化小信号建模方法建立了VSG-DDWF接入LCC-HVDC送端近区系统状态空间模型;其次,基于特征值分析法分析了系统SSO特性;然后,通过阻尼路径法揭示VSG-DDWF与LCC-HVDC系统SSO交互作用机理,并分析了风机机侧动态对系统阻尼的影响;最后,分析了风机台数、短路比(Short Circuit Ratio,SCR)、控制器参数对系统阻尼的影响。结果显示,VSG-DDWF同步控制环节主导的SSO模态具有失稳风险,VSG-DDWF与LCC-HVDC间存在SSO交互作用,加剧了系统发生的SSO风险;风机机侧动态会引入负阻尼,并使振荡频率发生偏移;风机网侧外环控制器比例系数减小,短路比增大时,系统SSO模态阻尼减小;VSG-DDWF中风机台数增多,系统SSO模态阻尼先增加后减小。展开更多
基金Supported by the National Basic Research Program(973 Program)of China(2013CB329402)the National Natural Science Foundation of China(61473215,61472306,61271302,61272282,61272176)
基金supported by the National Natural Science Foundation of China(62020106003,62273177,62233009)the Natural Science Foundation of Jiangsu Province of China(BK20222012,BK20211566)+1 种基金the Programme of Introducing Talents of Discipline to Universities of China(B20007)the Research Fund of State Key Laboratory of Mechanics and Control of Mechanical Structures(Nanjing University of Aeronautics and Astronautics)(MCMS-I-0121G03).
文摘The attitude tracking control problem is addressed for hypersonic vehicles under actuator faults that may cause an uncertain time-varying control gain matrix.An adaptive compensation scheme is developed to ensure system stability and asymptotic tracking properties,including a kinematic control signal and a dynamic control signal.To deal with the uncertainties of the control gain matrix,a new positive definite one is constructed.The minimum eigenvalue of such a new control gain matrix is estimated.Simulation results of application to an X-33 vehicle model verify the effectiveness of the proposed minimum eigenvalue based adaptive fault compensation scheme.
基金supported by the National Natural Science Foundation of China(12001517,72091212)the USTC Research Funds of the Double First-Class Initiative(YD2040002005)the Fundamental Research Funds for the Central Universities(WK2040000026,WK2040000027)。
文摘We consider the fluctuation of eigenvalues in factor models and propose a new method for testing the model.Based on the characteristics of eigenvalues,variables of unknown distribution are transformed into statistics of known distribution through randomization.The test statistic checks for breaks in the structure of factor models,including changes in factor loadings and increases in the number of factors.We give the results of simulation experiments and test the factor structure of the stock return data of China’s and U.S.stock markets from January 1,2017,to December 31,2019.Our method performs well in both simulations and real data.
基金Project(10171031) supported by the National Natural Science Foundation of China
文摘By using the characteristic properties of the anti-Hermitian generalized anti-Hamiltonian matrices, we prove some necessary and sufficient conditions of the solvability for algebra inverse eigenvalue problem of anti-Hermitian generalized anti-Hamiltonian matrices, and obtain a general expression of the solution to this problem. By using the properties of the orthogonal projection matrix, we also obtain the expression of the solution to optimal approximate problem of an n× n complex matrix under spectral restriction.
文摘A kind of dispatch method for power system eigenvalue control is proposed-in this paper. With the help of this method, not only the low-frequency oscillation of a power system can be prevented and controlled, but also the probabilistic power oscillatoin on the interconnection lines of an interconnected power system can be reduced. The proposed method has the advantages of high calculation speed and good convergency. Therefore, the method has much prospect of on-line application.
文摘单主用户信号的出现主要引起多天线接收信号取样协方差矩阵中极值特征值的变化,而多主用户信号的出现则会同时扰动取样协方差矩阵极值特征值和其他特征值,此时,经典的极值特征值检测算法则会表现出次佳的检测性能。针对这一问题,本研究设计了一种基于极值特征值差与特征值几何平均(difference of extreme eigenvalues and geometric average of eigenvalues,DEEGAE)的多主用户信号检测判决规则;提出了一种基于Wishart矩阵特征值统计分布理论的感知判决门限的闭式求解方法。该算法在频谱感知过程中直接利用认知用户的多天线接收数据构造判决规则并实施感知判决,具有全盲检测的优点;通过融合2种极限特征值门限分析结果,提高了非渐近感知条件下感知结果的准确性。Monte-Carlo仿真试验表明,新算法具有比经典的最大最小特征值之比算法和协方差绝对值检测算法更优的多主用户信号检测性能,同时能获得比传统基于最大最小特征值之差及其改进算法更为可靠的检测结果;与此同时,新算法的检测性能随着样本数目以及天线数目的增大而显著提升。
文摘“沙戈荒”风电经高压直流输电(line commutated converter based high voltage direct current,LCC-HVDC)送至负荷中心消纳场景中,风机采用虚拟同步机控制(virtual synchronous generator control,VSG)可自行构建输出电压和频率,为LCC-HVDC提供换相电压。采用虚拟同步机控制的直驱风电场(virtual synchronous generator direct-drive wind farm,VSG-DDWF)接入LCC-HVDC送端换流站近区时,系统次同步振荡(sub-synchronous oscillation,SSO)特性及机理尚未有定论。首先,文章采用模块化小信号建模方法建立了VSG-DDWF接入LCC-HVDC送端近区系统状态空间模型;其次,基于特征值分析法分析了系统SSO特性;然后,通过阻尼路径法揭示VSG-DDWF与LCC-HVDC系统SSO交互作用机理,并分析了风机机侧动态对系统阻尼的影响;最后,分析了风机台数、短路比(Short Circuit Ratio,SCR)、控制器参数对系统阻尼的影响。结果显示,VSG-DDWF同步控制环节主导的SSO模态具有失稳风险,VSG-DDWF与LCC-HVDC间存在SSO交互作用,加剧了系统发生的SSO风险;风机机侧动态会引入负阻尼,并使振荡频率发生偏移;风机网侧外环控制器比例系数减小,短路比增大时,系统SSO模态阻尼减小;VSG-DDWF中风机台数增多,系统SSO模态阻尼先增加后减小。
