This paper investigates the asymptotical stabilization of port-controlled Hamiltonian （PCH） systems via the improved potential energy-shaping （IPES） method. First, a desired potential energy introduced by a transi...This paper investigates the asymptotical stabilization of port-controlled Hamiltonian （PCH） systems via the improved potential energy-shaping （IPES） method. First, a desired potential energy introduced by a transitive Hamiltonian function is added to the original kinetic energy to yield a desired Hamiltonian function. Second, an asymptotically stabilized controller is designed based on a new matching equation with the obtained Hamiltonian function. Finally, a numerical example is given to show the effectiveness of the proposed method.展开更多
A new control scheme for induction motors is proposed in the present paper, applying the interconnection and damping assignment-passivity based control （IDA-PBC） method. The scheme is based exclusively on passivity ...A new control scheme for induction motors is proposed in the present paper, applying the interconnection and damping assignment-passivity based control （IDA-PBC） method. The scheme is based exclusively on passivity based control, without restricting the input frequency as it is done in field oriented control （FOC）. A port-controlled Hamiltonian （PCH） model of the induction motor is deduced to make the interconnection and damping of energy explicit on the scheme. The proposed controller is validated under computational simulations and experimental tests using an inverter prototype.展开更多
We study the Ll-error of a Hamiltonian-preserving scheme, developed in [19], for the Liouville equation with a piecewise constant potential in one space dimension when the initial data is given with perturbation error...We study the Ll-error of a Hamiltonian-preserving scheme, developed in [19], for the Liouville equation with a piecewise constant potential in one space dimension when the initial data is given with perturbation errors. We extend the l1-stability analysis in [46] and apply the Ll-error estimates with exact initial data established in [45] for the same scheme. We prove that the scheme with the Dirichlet incoming boundary conditions and for a class of bounded initial data is Ll-convergent when the initial data is given with a wide class of perturbation errors, and derive the Ll-error bounds with explicit coefficients. The convergence rate of the scheme is shown to be less than the order of the initial perturbation error, matching with the fact that the perturbation solution can be l1-unstable.展开更多
为减少电力系统网侧电流谐波并提高电网电能质量,本文采用状态误差端口受控哈密顿控制方法,实现对三相三线制有源电力滤波器的补偿电流实时控制和直流侧电压恒定控制。在dq旋转坐标系下,建立有源电力滤波器的PCH状态平均数学模型,构建...为减少电力系统网侧电流谐波并提高电网电能质量,本文采用状态误差端口受控哈密顿控制方法,实现对三相三线制有源电力滤波器的补偿电流实时控制和直流侧电压恒定控制。在dq旋转坐标系下,建立有源电力滤波器的PCH状态平均数学模型,构建了期望的闭环状态误差PCH系统,并根据系统的设计目标确定了系统期望平衡点;根据能量成形原理求出期望的闭环哈密顿PCH函数,并依据阻尼和互联配置设计了APF控制器。同时,运用比例积分控制(proportional integral control,PI)方法设计控制器,确保直流侧母线电压恒定。为了验证该控制策略的合理性,采用Matlab/Simulink软件进行仿真分析。仿真结果表明,基于状态误差PCH控制方法的有源电力滤波器对谐波起到了很好的抑制作用;在APF直流侧母线电压趋于恒定情况下,经过APF补偿的电力系统网侧电流中的谐波含量大大降低,达到控制目标,具有良好的稳态和动态控制性能。该研究具有一定的应用价值。展开更多
Presents a study that analyzed the symplecticness, stability and asymptotic of Runge-Kutta, partitioned Runge-Kutta, and Runge-Kutta-Nystr ? m methods applied to linear Hamiltonian systems. Numerical representation of...Presents a study that analyzed the symplecticness, stability and asymptotic of Runge-Kutta, partitioned Runge-Kutta, and Runge-Kutta-Nystr ? m methods applied to linear Hamiltonian systems. Numerical representation of the problem; Results in connection to P-stability; Details of the application of backward error analysis in the study.展开更多
This work is concerned with e1-error estimates on a Hamiltonian-preserving scheme for the Liouville equation with pieeewise constant potentials in one space dimension. We provide an analysis much simpler than these in...This work is concerned with e1-error estimates on a Hamiltonian-preserving scheme for the Liouville equation with pieeewise constant potentials in one space dimension. We provide an analysis much simpler than these in literature and obtain the same half-order convergence rate. We formulate the Liouville equation with discretized velocities into a series of linear convection equations with piecewise constant coefficients, and rewrite the numerical scheme into some immersed interface upwind schemes. The e1-error estimates are then evaluated by comparing the derived equations and schemes.展开更多
基金supported by the National Natural Science Foundation of China(Nos.61125301,60974026)
文摘This paper investigates the asymptotical stabilization of port-controlled Hamiltonian （PCH） systems via the improved potential energy-shaping （IPES） method. First, a desired potential energy introduced by a transitive Hamiltonian function is added to the original kinetic energy to yield a desired Hamiltonian function. Second, an asymptotically stabilized controller is designed based on a new matching equation with the obtained Hamiltonian function. Finally, a numerical example is given to show the effectiveness of the proposed method.
文摘A new control scheme for induction motors is proposed in the present paper, applying the interconnection and damping assignment-passivity based control （IDA-PBC） method. The scheme is based exclusively on passivity based control, without restricting the input frequency as it is done in field oriented control （FOC）. A port-controlled Hamiltonian （PCH） model of the induction motor is deduced to make the interconnection and damping of energy explicit on the scheme. The proposed controller is validated under computational simulations and experimental tests using an inverter prototype.
文摘We study the Ll-error of a Hamiltonian-preserving scheme, developed in [19], for the Liouville equation with a piecewise constant potential in one space dimension when the initial data is given with perturbation errors. We extend the l1-stability analysis in [46] and apply the Ll-error estimates with exact initial data established in [45] for the same scheme. We prove that the scheme with the Dirichlet incoming boundary conditions and for a class of bounded initial data is Ll-convergent when the initial data is given with a wide class of perturbation errors, and derive the Ll-error bounds with explicit coefficients. The convergence rate of the scheme is shown to be less than the order of the initial perturbation error, matching with the fact that the perturbation solution can be l1-unstable.
文摘为减少电力系统网侧电流谐波并提高电网电能质量,本文采用状态误差端口受控哈密顿控制方法,实现对三相三线制有源电力滤波器的补偿电流实时控制和直流侧电压恒定控制。在dq旋转坐标系下,建立有源电力滤波器的PCH状态平均数学模型,构建了期望的闭环状态误差PCH系统,并根据系统的设计目标确定了系统期望平衡点;根据能量成形原理求出期望的闭环哈密顿PCH函数,并依据阻尼和互联配置设计了APF控制器。同时,运用比例积分控制(proportional integral control,PI)方法设计控制器,确保直流侧母线电压恒定。为了验证该控制策略的合理性,采用Matlab/Simulink软件进行仿真分析。仿真结果表明,基于状态误差PCH控制方法的有源电力滤波器对谐波起到了很好的抑制作用;在APF直流侧母线电压趋于恒定情况下,经过APF补偿的电力系统网侧电流中的谐波含量大大降低,达到控制目标,具有良好的稳态和动态控制性能。该研究具有一定的应用价值。
文摘Presents a study that analyzed the symplecticness, stability and asymptotic of Runge-Kutta, partitioned Runge-Kutta, and Runge-Kutta-Nystr ? m methods applied to linear Hamiltonian systems. Numerical representation of the problem; Results in connection to P-stability; Details of the application of backward error analysis in the study.
文摘This work is concerned with e1-error estimates on a Hamiltonian-preserving scheme for the Liouville equation with pieeewise constant potentials in one space dimension. We provide an analysis much simpler than these in literature and obtain the same half-order convergence rate. We formulate the Liouville equation with discretized velocities into a series of linear convection equations with piecewise constant coefficients, and rewrite the numerical scheme into some immersed interface upwind schemes. The e1-error estimates are then evaluated by comparing the derived equations and schemes.
