A Model-Free Control Method for Synchronous Vibration of Active Magnetic Bearing Rotor System

Abstract

The unbalanced force on the active magnetic bearing (AMB) rotor system is the main reason of system vibrations, which always have periodic repetitive characteristics. However, the closed-loop feedback control system (CFCS) is difficult to achieve effective control of these repetitive problems. In this paper, we firstly analyzed the synchronous vibration by taking AMB rotor mass imbalance as an example. Then, we proposed a model-free control (MFC) method based on the Newton-type ILC algorithm, and the key of this MFC is to use a partial derivative (P-D) of the output with respect to the input. The simplicity of this algorithm lies in that and the P-D is calculated by only using the input and output (I/O) data of the system and then used to adjust the ILC gain. Subsequently, we proposed a parallel plug-in control scheme based on existing AMB control system to suppress synchronous vibration. Finally, we carried out the simulation and experiment to research the control method mentioned in this paper. The results show that the MFC has a good control effect on AMB synchronous vibration. Notably, this MFC for synchronous vibration has the advantages of being without system model, simple design and good portability, and can provide theoretical and experimental basis for the application of AMB in high precision and high speed fields.INDEX TERMS Active magnetic bearing, synchronous vibration, model-free, iterative learning control parallel control scheme.

A novel iterative learning control method and control system design for active magnetic bearing rotor imbalance of primary helium circulator in high-temperature gas-cooled reactor

“…Most research results on the AMB rotor unbalance control need to extract the periodic components of the signal, but unfortunately most of them only described the algorithm theory and did not analyze the existing problems from the perspective of digital control system. [11][12][13][14][15][16][17][18][19][20][21] However, we found PCEA based on Fourier transform theory would occupy numerous computing resources, which ultimately cannot meet the real-time requirement of the control system.…”

“…By comparing equations (21) and (24), it can be concluded that under the completely identical conditions that include the parameters and the initial state of the system, the convergence rate based on ILC-1 is faster than ILC-2.…”

“…Furthermore, according to equation (21), the following recurrence relations can be obtained (k is assumed to be an even number)…”

Novel Sliding Mode Vibration Controller With Simple Model-Free Design and Compensation for Actuator’s Uncertainty

“…Model-free control based on a data-driven control method has been widely studied [17] [18]. This approach constructs the controller using input and output data of the plant.…”

Correction to “A Model-Free Control Method for Synchronous Vibration of Active Magnetic Bearing Rotor System”

“…In the above article [1,, an experimental condition is missed. The detailed experimental conditions are described as:…”