In the dynamics analysis and synthesis of a controlled system, it is important to know for what feedback gains can the controlled system decay to the demanded steady state as fast as possible. This article presents a ...In the dynamics analysis and synthesis of a controlled system, it is important to know for what feedback gains can the controlled system decay to the demanded steady state as fast as possible. This article presents a systematic method for finding the optimal feedback gains by taking the stability of an inverted pendulum system with a delayed proportional-derivative controller as an example. First, the condition for the existence and uniqueness of the stable region in the gain plane is obtained by using the D-subdivision method and the method of stability switch. Then the same procedure is used repeatedly to shrink the stable region by decreasing the real part of the rightmost characteristic root. Finally, the optimal feedback gains within the stable region that minimizes the real part of the rightmost root are expressed by an explicit formula. With the optimal feedback gains, the controlled inverted pendulum decays to its trivial equilibrium at the fastest speed when the initial values around the origin are fixed. The main results are checked by numerical simulation.展开更多
With the exponential development of mobile communications and the miniaturization of radio frequency transceivers, the need for small and low profile antennas at mobile frequencies is constantly growing. Therefore, ne...With the exponential development of mobile communications and the miniaturization of radio frequency transceivers, the need for small and low profile antennas at mobile frequencies is constantly growing. Therefore, new antennas should be developed to provide larger bandwidth and at the same time small dimensions. Although the gain in bandwidth performances of an antenna are directly related to its dimensions in relation to the wavelength, the aim is to keep the overall size of the antenna constant and from there, find the geometry and structure that give the best performance. The design and bandwidth optimization of a Planar Inverted-F Antenna (PIFA) were introduced in order to achieve a larger bandwidth in the 2 GHz band, using two optimization techniques based upon genetic algorithms (GA), namely the Binary Coded GA (BCGA) and Real-Coded GA (RCGA). During the optimization process, the different PIFA models were evaluated using the finite-difference time domain (FDTD) method-a technique belonging to the general class of differential time domain numerical modeling methods.展开更多
Certain locally optimal tests for deterministic components in vector time series have associated sampling distributions determined by a linear combination of Beta variates. Such distributions are nonstandard and must ...Certain locally optimal tests for deterministic components in vector time series have associated sampling distributions determined by a linear combination of Beta variates. Such distributions are nonstandard and must be tabulated by Monte Carlo simulation. In this paper, we provide closed form expressions for the mean and variance of several multivariate test statistics, moments that can be used to approximate unknown distributions. In particular, we find that the two-moment Inverse Gaussian approximation provides a simple and fast method to compute accurate quantiles and p-values in small and asymptotic samples. To illustrate the scope of this approximation we review some standard tests for deterministic trends and/or seasonal patterns in VARIMA and structural time series models.展开更多
逆变器中死区时间会带来电流谐波和转矩脉动,从而导致感应电机出现明显振动并增加额外损耗。为减少逆变器死区效应带来的不利影响,提出一种基于高阶扩展状态观测器(high-order extended state observer,HO-ESO)的逆变器死区效应在线补...逆变器中死区时间会带来电流谐波和转矩脉动,从而导致感应电机出现明显振动并增加额外损耗。为减少逆变器死区效应带来的不利影响,提出一种基于高阶扩展状态观测器(high-order extended state observer,HO-ESO)的逆变器死区效应在线补偿方法。首先,对逆变器死区效应进行分析,推导出因死区效应而产生的d、q轴误差电压方程。接着,对传统的基于二阶ESO的死区效应补偿方法进行介绍和分析,由分析结果可知,该方法难以准确估计误差电压,从而导致补偿效果欠佳。进一步,设计一种HO-ESO对误差电压进行估计,并将其补偿到感应电机矢量控制系统中。最后,利用仿真和实验测试对所研究的死区效应补偿方法进行验证,并与传统的基于二阶ESO的死区效应补偿法进行对比。测试结果表明,相较于传统基于二阶ESO的死区效应补偿方法,所研究方法表现出更好的死区效应补偿性能。此外,所研究方法无需检测电流极性,易于实施。展开更多
基金supported by the National Natural Science Foundation of China (Grant 11372354)the Fund of the State Key Lab of Mechanics and Control of Mechanical Structures (Grant MCMS-0116K01)
文摘In the dynamics analysis and synthesis of a controlled system, it is important to know for what feedback gains can the controlled system decay to the demanded steady state as fast as possible. This article presents a systematic method for finding the optimal feedback gains by taking the stability of an inverted pendulum system with a delayed proportional-derivative controller as an example. First, the condition for the existence and uniqueness of the stable region in the gain plane is obtained by using the D-subdivision method and the method of stability switch. Then the same procedure is used repeatedly to shrink the stable region by decreasing the real part of the rightmost characteristic root. Finally, the optimal feedback gains within the stable region that minimizes the real part of the rightmost root are expressed by an explicit formula. With the optimal feedback gains, the controlled inverted pendulum decays to its trivial equilibrium at the fastest speed when the initial values around the origin are fixed. The main results are checked by numerical simulation.
文摘With the exponential development of mobile communications and the miniaturization of radio frequency transceivers, the need for small and low profile antennas at mobile frequencies is constantly growing. Therefore, new antennas should be developed to provide larger bandwidth and at the same time small dimensions. Although the gain in bandwidth performances of an antenna are directly related to its dimensions in relation to the wavelength, the aim is to keep the overall size of the antenna constant and from there, find the geometry and structure that give the best performance. The design and bandwidth optimization of a Planar Inverted-F Antenna (PIFA) were introduced in order to achieve a larger bandwidth in the 2 GHz band, using two optimization techniques based upon genetic algorithms (GA), namely the Binary Coded GA (BCGA) and Real-Coded GA (RCGA). During the optimization process, the different PIFA models were evaluated using the finite-difference time domain (FDTD) method-a technique belonging to the general class of differential time domain numerical modeling methods.
文摘Certain locally optimal tests for deterministic components in vector time series have associated sampling distributions determined by a linear combination of Beta variates. Such distributions are nonstandard and must be tabulated by Monte Carlo simulation. In this paper, we provide closed form expressions for the mean and variance of several multivariate test statistics, moments that can be used to approximate unknown distributions. In particular, we find that the two-moment Inverse Gaussian approximation provides a simple and fast method to compute accurate quantiles and p-values in small and asymptotic samples. To illustrate the scope of this approximation we review some standard tests for deterministic trends and/or seasonal patterns in VARIMA and structural time series models.
文摘逆变器中死区时间会带来电流谐波和转矩脉动,从而导致感应电机出现明显振动并增加额外损耗。为减少逆变器死区效应带来的不利影响,提出一种基于高阶扩展状态观测器(high-order extended state observer,HO-ESO)的逆变器死区效应在线补偿方法。首先,对逆变器死区效应进行分析,推导出因死区效应而产生的d、q轴误差电压方程。接着,对传统的基于二阶ESO的死区效应补偿方法进行介绍和分析,由分析结果可知,该方法难以准确估计误差电压,从而导致补偿效果欠佳。进一步,设计一种HO-ESO对误差电压进行估计,并将其补偿到感应电机矢量控制系统中。最后,利用仿真和实验测试对所研究的死区效应补偿方法进行验证,并与传统的基于二阶ESO的死区效应补偿法进行对比。测试结果表明,相较于传统基于二阶ESO的死区效应补偿方法,所研究方法表现出更好的死区效应补偿性能。此外,所研究方法无需检测电流极性,易于实施。
