One the base of differential algebra of biquaternions, the one model of electro-gravimagnetic interactions of electric and gravimagnetic charges and currents has been constructed. For this, three Newton laws analogues...One the base of differential algebra of biquaternions, the one model of electro-gravimagnetic interactions of electric and gravimagnetic charges and currents has been constructed. For this, three Newton laws analogues are used. The closed system of biquaternionic wave equations is constructed for determination of the charges-currents and electro-gravimagnetic fields and united field of interactions. The equation of charge-current transformation is like the generalization of biquaternionic presentation of Dirac equation. The properties of its solutions are described, depending on properties of external EGM field. The biquaternions of energy-pulse of EGM-field and charges-currents are considered. The energy-pulse of EGM-interactions is calculated.展开更多
The purpose of this paper is to establish a connection between Maxwell’s equations, Newton’s laws, and the special theory of relativity. This is done with a derivation that begins with Newton’s verbal enunciation o...The purpose of this paper is to establish a connection between Maxwell’s equations, Newton’s laws, and the special theory of relativity. This is done with a derivation that begins with Newton’s verbal enunciation of his first two laws. Derived equations are required to be covariant, and a simplicity criterion requires that the four-vector force on a charged particle be linearly related to the four-vector velocity. The connecting tensor has derivable symmetry properties and contains the electric and magnetic field vectors. The Lorentz force law emerges, and Maxwell’s equations for free space emerge with the assumption that the tensor and its dual must both satisfy first-order partial differential equations. The inhomogeneous extension yields a charge density and a current density as being the source of the field, and yields the law of conservation of charge. Newton’s third law is reinterpreted as a reciprocity statement, which requires that the charge in the source term can be taken as the same physical entity as that of the test particle and that both can be assigned the same units. Requiring covariance under either spatial inversions or time reversals precludes magnetic charge being a source of electromagnetic fields that exert forces on electric charges.展开更多
在工程实践中,针对工业过程的不确定性设计便于使用和维护的控制器具有重要意义.牛顿定律是广大工程技术人员最熟悉的物理定律之一,文章基于牛顿定律提出了一种无模型不确定性控制系统及其设计方法,该方法通过构建被控系统的位置、速度...在工程实践中,针对工业过程的不确定性设计便于使用和维护的控制器具有重要意义.牛顿定律是广大工程技术人员最熟悉的物理定律之一,文章基于牛顿定律提出了一种无模型不确定性控制系统及其设计方法,该方法通过构建被控系统的位置、速度和加速度三个状态变量,应用卡尔曼滤波器理论设计了牛顿运动力学观测器ONLM,并基于观测到的位置、速度和加速度设计了闭环系统补偿器,构成MFCNLM(Model-Free Control based on Newton’s Laws of Motion)无模型控制系统,使得系统输出跟踪期望的输出轨迹.本文更进一步地提出了PID(Proportional Integral Derivative)控制器设计的牛顿力学原理,分析和论证了MFCNLM控制方法与PID控制方法在控制系统设计上的牛顿力学统一性原理.文章所提出的设计方法不需要被控对象的数学模型,仅需控制工程师给出闭环控制系统期望的过渡过程时间T.文章给出了4个仿真研究和工程应用例子,具体展示了基于牛顿定律的MFCNLM控制系统与PID控制器的设计方法,结果表明所提方法对不确定系统具有良好的控制品质和鲁棒性能.展开更多
控制工程(系统)的经典力学原理在于能够精确构建和估计被控系统的输出位置,速度和加速度三个状态变量,应用牛顿定律对这三个状态变量作出闭环负反馈控制,使得系统输出跟踪期望的输出轨迹.在文献(开平安和申忠利,2022)中,在匀加速运动方...控制工程(系统)的经典力学原理在于能够精确构建和估计被控系统的输出位置,速度和加速度三个状态变量,应用牛顿定律对这三个状态变量作出闭环负反馈控制,使得系统输出跟踪期望的输出轨迹.在文献(开平安和申忠利,2022)中,在匀加速运动方程基础上,应用卡尔曼滤波器设计了OUAM观测器(Observer based on Uniform Acceleration Movement),基于牛顿定律设计了无模型控制MFCNLM系统(Model-Free Control based on Newton’s Laws of Motion),控制系统的所有参数设计不需要被控对象的模型,仅需控制工程师给出闭环控制系统输出期望的过渡过程时间T.文章在文献(开平安和申忠利,2022)的基础上,着重分析了牛顿定律在OUAM观测器和MFCNLM系统中的理论和应用,论证了OUAM观测器的无偏性和MFCNLM系统的有效性,分析和论证了MFCNLM系统,PID和PIDCC系统在控制系统设计上的经典力学统一性,分析和设计了在具有纯延时环节时变系统中的一种简单而有效的方法.仿真结果论证了MFCNLM系统和具有补偿器的PIDCC系统在应用这种方法后提高了纯延时环节时变系统的控制品质和鲁棒性能.展开更多
文摘One the base of differential algebra of biquaternions, the one model of electro-gravimagnetic interactions of electric and gravimagnetic charges and currents has been constructed. For this, three Newton laws analogues are used. The closed system of biquaternionic wave equations is constructed for determination of the charges-currents and electro-gravimagnetic fields and united field of interactions. The equation of charge-current transformation is like the generalization of biquaternionic presentation of Dirac equation. The properties of its solutions are described, depending on properties of external EGM field. The biquaternions of energy-pulse of EGM-field and charges-currents are considered. The energy-pulse of EGM-interactions is calculated.
文摘The purpose of this paper is to establish a connection between Maxwell’s equations, Newton’s laws, and the special theory of relativity. This is done with a derivation that begins with Newton’s verbal enunciation of his first two laws. Derived equations are required to be covariant, and a simplicity criterion requires that the four-vector force on a charged particle be linearly related to the four-vector velocity. The connecting tensor has derivable symmetry properties and contains the electric and magnetic field vectors. The Lorentz force law emerges, and Maxwell’s equations for free space emerge with the assumption that the tensor and its dual must both satisfy first-order partial differential equations. The inhomogeneous extension yields a charge density and a current density as being the source of the field, and yields the law of conservation of charge. Newton’s third law is reinterpreted as a reciprocity statement, which requires that the charge in the source term can be taken as the same physical entity as that of the test particle and that both can be assigned the same units. Requiring covariance under either spatial inversions or time reversals precludes magnetic charge being a source of electromagnetic fields that exert forces on electric charges.
文摘在工程实践中,针对工业过程的不确定性设计便于使用和维护的控制器具有重要意义.牛顿定律是广大工程技术人员最熟悉的物理定律之一,文章基于牛顿定律提出了一种无模型不确定性控制系统及其设计方法,该方法通过构建被控系统的位置、速度和加速度三个状态变量,应用卡尔曼滤波器理论设计了牛顿运动力学观测器ONLM,并基于观测到的位置、速度和加速度设计了闭环系统补偿器,构成MFCNLM(Model-Free Control based on Newton’s Laws of Motion)无模型控制系统,使得系统输出跟踪期望的输出轨迹.本文更进一步地提出了PID(Proportional Integral Derivative)控制器设计的牛顿力学原理,分析和论证了MFCNLM控制方法与PID控制方法在控制系统设计上的牛顿力学统一性原理.文章所提出的设计方法不需要被控对象的数学模型,仅需控制工程师给出闭环控制系统期望的过渡过程时间T.文章给出了4个仿真研究和工程应用例子,具体展示了基于牛顿定律的MFCNLM控制系统与PID控制器的设计方法,结果表明所提方法对不确定系统具有良好的控制品质和鲁棒性能.
文摘控制工程(系统)的经典力学原理在于能够精确构建和估计被控系统的输出位置,速度和加速度三个状态变量,应用牛顿定律对这三个状态变量作出闭环负反馈控制,使得系统输出跟踪期望的输出轨迹.在文献(开平安和申忠利,2022)中,在匀加速运动方程基础上,应用卡尔曼滤波器设计了OUAM观测器(Observer based on Uniform Acceleration Movement),基于牛顿定律设计了无模型控制MFCNLM系统(Model-Free Control based on Newton’s Laws of Motion),控制系统的所有参数设计不需要被控对象的模型,仅需控制工程师给出闭环控制系统输出期望的过渡过程时间T.文章在文献(开平安和申忠利,2022)的基础上,着重分析了牛顿定律在OUAM观测器和MFCNLM系统中的理论和应用,论证了OUAM观测器的无偏性和MFCNLM系统的有效性,分析和论证了MFCNLM系统,PID和PIDCC系统在控制系统设计上的经典力学统一性,分析和设计了在具有纯延时环节时变系统中的一种简单而有效的方法.仿真结果论证了MFCNLM系统和具有补偿器的PIDCC系统在应用这种方法后提高了纯延时环节时变系统的控制品质和鲁棒性能.
