PD Control Strategy Design and Simulation of Magnetic Bearing with Single Freedom of Degree

2013 ◽  
Vol 760-762 ◽  
pp. 1207-1211 ◽  
Author(s):  
Guang Yang ◽  
Jian Min Zhang

Based on the analysis of the model of the Single-Degree-of-Freedom (SDF) magnetic bearing system, the issue of design and simulation of PD control strategy in the system is investigated. First, the plant model of the AMB (Active Magnetic Bearings) with Single-Degree-of-Freedom (SDF) is found out to be unstable plant. Then, based on the root locus theory and Routh stability criteria, the necessity of derivation action in the controller is analyzed.In addition, the PD control strategy for a particular plant is designed, the effectiveness of which is validated by the given simulation examples. The proposed approach can provide an important reference for the practical application of PD control strategy in the magnetic bearing system.

Author(s):  
Judd Bernard

Abstract A single degree of freedom mechanism whose input link is a crank driven through continuous revolutions will generate output motions dependent upon the inherent mechanism geometry. For example, the slider of a slider-crank mechanism has a linear displacement (the output motion) as a function of the crank rotation (input). Only within the realm of link proportioning can the slider crank output-input function be altered. In this investigation, the continuously rotating crank of a mechanism is rigidly attached to a gear which is one of a pair of externally meshing noncircular gears. By using noncircular gears, it will be shown that the output motion of the given mechanism can be correlated to the rotation of the mating gear to which the crank is not attached. In this fashion, the output link can then be made to execute its motion according to any prescribed law. The above technique has been implemented for the cases of a crank and rocker mechanism and a slider-crank mechanism.


Author(s):  
Yongkang Shen ◽  
Shan Yin ◽  
Guilin Wen ◽  
Huidong Xu

Based on the special dynamical property of continuous transition at certain degenerate grazing points in the single-degree-of-freedom impact oscillator, the control problem of the grazing-induced chaos is investigated in this paper. To design degenerate grazing bifurcations, we show how to obtain the degenerate grazing points of the 1/n impact periodic motions by the existence and stability analysis first. Then, a discrete-in-time feedback control strategy is used to suppress the grazing-induced chaos into the 1/n impact periodic motions precisely by the desired degenerate grazing bifurcation. The feasibility of the control strategy is verified by numerical simulations.


2021 ◽  
Vol 159 ◽  
pp. 104258
Author(s):  
Jeonghwan Lee ◽  
Lailu Li ◽  
Sung Yul Shin ◽  
Ashish D. Deshpande ◽  
James Sulzer

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