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Differential evolution based high-order peak filter design with application to compensation of contact-induced vibration in HDD servo systems

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Abstract

Sensitivity loop shaping using add-on peak filters is a simple and effective method to reject narrow-band disturbances in hard disk drive (HDD) servo systems. The parallel peak filter is introduced to provide high-gain magnitude in the concerned frequency range of open-loop transfer function. Different from almost all the known peak filters that possess second-order structures, we explore in this paper how high-order peak filters can be designed to improve the loop shaping performance. The main idea is to replace some of the constant coefficients of common second-order peak filter by frequency-related transfer functions, and then differential evolution (DE) algorithm is adopted to perform optimal design. We creatively introduce chromosome coding and fitness function design, which are original and the key steps that lead to the success of DE applications in control system design. In other words, DE is modified to achieve a novel design for hard disk drive control. Owing to the remarkable searching ability of DE, the expected shape of sensitivity function can be achieved by incorporating the resultant high-order peak filter in parallel with baseline feedback controller. As a result, a seventh-order peak filter is designed to compensate for contact-induced vibration in a high-density HDD servo system, where the benefits of high-order filter are clearly demonstrated.

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Correspondence to Deqing Huang.

Additional information

This work was supported by National Natural Science Foundation of China (No. 61640310, 61433011).

Recommended by Associate Editor Dongbing Gu

Deqing Huang received the B. Sc. and Ph.D. degrees from the College of Mathematics, Sichuan University, China in 2002 and 2007, respectively. He attended the Department of Electrical and Computer Engineering (ECE), National University of Singapore (NUS), Singapore in 2006, where he received the second Ph.D. degree in control engineering in 2011. From January 2010 to February 2013, he was a research fellow in the Department of Electrical and Computer Engineering of NUS. From March 2013 to January 2016, he was a research associate in the Department of Aeronautics, Imperial College London, UK. He is currently a professor with the Institute of Systems Science and Technology, School of Electrical Engineering, Southwest Jiaotong University, China.

His research interests include dynamic analysis and bifurcation, fluid flow analysis and control, learning theory, nonlinear and robust control, and applications to railway transport systems.

ORCID iD: 0000-0002-8185-9030

Jian-Xin Xu received the Ph.D. degree from The University of Tokyo, Japan in 1989. In 1991, he joined the National University of Singapore, Singapore, where he is currently a professor in the Department of Electrical and Computer Engineering. He has published over 160 journal papers and five books in the field of systemand control. He is a fellow of IEEE.

His research interests include learning theory, intelligent control, nonlinear and robust control, robotics, and precision motion control.

ORCID iD: 0000-0002-9485-5880

Xin Deng received the B. Sc. degree from Department of Computer Science and Technology, Jilin University, China in 2004, and M. Sc. degree from Department of Computer Science, Chongqing University, China in 2007. He received the Ph.D. degree in computer engineering from National University of Singapore, Singapore in 2013. He is now an associate professor in College of Computer Science and Technology, Chongqing University of Posts and Telecommunications, China.

His research interests include image processing, pattern recognition, and modern control theory and its applications.

ORCID iD: 0000-0003-1257-694X

Venkatakrishnan Venkataramanan received the B.Eng. degree in electrical and electronics engineering from Annamalai University, India in 1990, the M.Eng. degree in control and instrumentation engineering from Anna University, India in 1993, and the Ph.D. degree from the National University of Singapore, Singapore in 2002. From 1994 to 1998, he was a lecturer in the Department of Electronics and Instrumentation Engineering, Annamalai University, and after receiving the Ph.D. degree in control engineering, he was a research fellow at Nanyang Technological University, Singapore, from 2001 to 2003. He was awarded the Japan Society for the Promotion of Science Postdoctoral Fellowship in 2003 and was a postdoctoral fellow at the Nagoya Institute of Technology, Japan from 2003 to 2005. Since 2005, he has been with Data Storage Institute, Singapore, where he is a research scientist.

His research interests include nonlinear control and its applications and the design of computer hard disk drive servo systems.

The Cat Tuong Huynh received the B.Eng. degree from the Department of Electrical and Computer Engineering (ECE), National University of Singapore, Singapore in 2009. He joined the Department of Electrical and Computer Engineering, National University of Singapore, as a research engineer in January 2010.

His research interest is intelligent control for the servomechanisms in hard disk drives.

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Huang, D., Xu, JX., Deng, X. et al. Differential evolution based high-order peak filter design with application to compensation of contact-induced vibration in HDD servo systems. Int. J. Autom. Comput. 14, 45–56 (2017). https://doi.org/10.1007/s11633-016-1034-y

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  • DOI: https://doi.org/10.1007/s11633-016-1034-y

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