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Journal of Control Science and Engineering
Volume 2017 (2017), Article ID 1261495, 7 pages
Research Article

On Numerical Simulation Approach for Multiple Resonance Modes in Servo Systems

1School of Mechanical Engineering, Suzhou University of Science and Technology, Suzhou 215009, China
2School of Electrical and Automation Engineering, East China Jiaotong University, Nanchang 330013, China
3School of Electronic and Information Engineering, Suzhou University of Science and Technology, Suzhou 215009, China
4School of Mechanical and Electronic Engineering, Jingdezhen Ceramic Institute, Jingdezhen 333001, China

Correspondence should be addressed to Qixin Zhu

Received 3 July 2017; Revised 21 October 2017; Accepted 12 November 2017; Published 29 November 2017

Academic Editor: Petko Petkov

Copyright © 2017 Qixin Zhu et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Mechanical resonance is one of the most pervasive problems in servo control. Closed-loop simulations are requisite when the servo control system with high accuracy is designed. The mathematical model of resonance mode must be considered when the closed-loop simulations of servo systems are done. There will be a big difference between the simulation results and the real actualities of servo systems when the resonance mode is not considered in simulations. Firstly, the mathematical model of resonance mode is introduced in this paper. This model can be perceived as a product of a differentiation element and an oscillating element. Secondly, the second-order differentiation element is proposed to simulate the resonant part and the oscillating element is proposed to simulate the antiresonant part. Thirdly, the simulation approach for two resonance modes in servo systems is proposed. Similarly, this approach can be extended to the simulation of three or even more resonances in servo systems. Finally, two numerical simulation examples are given.