基于深度学习的模型预测控制器在磁悬浮球系统上.
Tianbo Peng1, Hui Peng1, Rongwei Li2
1School of Automation, Central South University, Changsha, Hunan 410083, China; Xiangjiang Laboratory, Changsha 410205, China.
ISA transactions
|April 21, 2024
概括
这项研究介绍了一种基于长短期记忆 (LSTM) 的新型自动回归模型,带有外源输入变量 (LSTM-ARX),用于控制不稳定的磁悬浮 (磁悬浮) 系统. 拟议的基于LSTM-ARX的预测功能控制器 (PFC) 显著提高了实时控制性能和效率.
科学领域:
- 控制系统工程 控制系统工程
- 人工智能的人工智能
- 非线性动力学是一种非线性动力学.
背景情况:
- 磁悬浮 (磁悬浮) 系统是重要的工业设备,以非线性和开放循环不稳定性而闻名.
- 这些系统的准确建模对于有效的控制设计至关重要.
研究的目的:
- 使用深度学习开发一个精确的虚线性模型,用于磁悬浮球系统.
- 设计一个高效的模型预测控制器 (MPC) 和一个预测功能控制器 (PFC) 实时磁悬浮控制.
主要方法:
- 一个长短期内存 (LSTM) 网络被修改为具有外源输入变量 (LSTM-ARX) 的自动回归模型,以推断出局部线性化的模型.
- 该LSTM-ARX模型被转换成一个线性参数变量 (LPV) 状态空间模型.
- 导出了一个模型预测控制器 (MPC),为二次编程进行线性化,并通过预测功能控制器 (PFC) 增强,以减少在线优化复杂性.
主要成果:
- 拟议的LSTM-ARX模型准确地描述了磁悬浮球系统的动态.
- 基于LSTM-ARX的预测功能控制器 (LSTM-ARX-PFC) 已成功实现实时控制.
- 模拟和实验结果都显示了更好的过渡性能和效率.
结论:
- LSTM-ARX-PFC提供了一个强大而高效的解决方案,用于控制像磁铁高速公路这样的非线性,不稳定的系统.
- 基于深度学习的建模与先进的控制策略相结合,在系统性能方面提供了显著的优势.
相关概念视频
Magnetic Damping
451
Eddy currents can produce significant drag on motion, called magnetic damping. For instance, when a metallic pendulum bob swings between the poles of a strong magnet, significant drag acts on the bob as it enters and leaves the field, quickly damping the motion.
If, however, the bob is a slotted metal plate, the magnet produces a much smaller effect. When a slotted metal plate enters the field, an emf is induced by the change in flux; however, it is less effective because the slots limit the...
If, however, the bob is a slotted metal plate, the magnet produces a much smaller effect. When a slotted metal plate enters the field, an emf is induced by the change in flux; however, it is less effective because the slots limit the...
451
Magnetic Force
955
In addition to the electric forces between electric charges, moving electric charges exert magnetic forces on each other. A magnetic field is created by a moving charge or a group of moving charges known as the electric current. A magnetic force is experienced by a second current or moving charge in response to this magnetic field. Fundamentally, interactions between moving electrons in the atoms of two bodies produce magnetic forces between them.
The magnetic force acting on a moving charge...
The magnetic force acting on a moving charge...
955
Magnetic Vector Potential
616
In electrostatics, the electric field can be written as the negative gradient of the potential. In magnetostatics, the zero divergence of the magnetic field ensures that the magnetic field can be expressed as the curl of a vector potential. This potential is known as the magnetic vector potential.
Consider an ideal solenoid with n turns per unit length and radius R. If I is the current through the solenoid, the magnetic field inside the solenoid is expressed as the product of vacuum...
Consider an ideal solenoid with n turns per unit length and radius R. If I is the current through the solenoid, the magnetic field inside the solenoid is expressed as the product of vacuum...
616
Linear Approximation in Time Domain
81
Nonlinear systems often require sophisticated approaches for accurate modeling and analysis, with state-space representation being particularly effective. This method is especially useful for systems where variables and parameters vary with time or operating conditions, such as in a simple pendulum or a translational mechanical system with nonlinear springs.
For a simple pendulum with a mass evenly distributed along its length and the center of mass located at half the pendulum's length,...
For a simple pendulum with a mass evenly distributed along its length and the center of mass located at half the pendulum's length,...
81
One-Degree-of-Freedom System
487
In mechanical engineering, one-degree-of-freedom systems form the basis of a wide range of electrical and mechanical components. Using these models, engineers can predict the behavior of various parts in a larger system, which gives them insight into how different forces interact with each other.
A one-degree-of-freedom system is defined by an independent variable that determines its state and behavior. One example of a one-degree-of-freedom system is a simple harmonic oscillator, such as a...
A one-degree-of-freedom system is defined by an independent variable that determines its state and behavior. One example of a one-degree-of-freedom system is a simple harmonic oscillator, such as a...
487
Potential Due to a Magnetized Object
282
Magnetic dipoles in magnetic materials are aligned when placed under an external magnetic field. For paramagnets and ferromagnets, dipole alignment occurs in the direction of the magnetic field. However, the dipoles align opposite to the field in the case of diamagnets. This state of magnetic polarization due to the external field is called magnetization. Magnetization is defined as the dipole moment per unit volume. It plays a similar role to polarization in electrostatics.
The vector...
The vector...
282


