Differential evolution based high-order peak filter design with application to compensation of contact-induced vibration in HDD servo systems
Tóm tắt
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.
Tài liệu tham khảo
B. Strom, S. Deits, C. Gerber, D. Krajnovich, D. Ohlsen, R. Turner. Burnishing heads in-drive for higher density recording. IEEE Transactions on Magnetics, vol. 40, no. 1, pp. 345–348, 2004.
J. Itoh, Y. Sasaki, K. Higashi, H. Takami, T. Shikanai. An experimental investigation for continuous contact recording technology. IEEE Transactions on Magnetics, vol. 37, no. 4, pp. 1806–1808, 2001.
H. Takahashi, D. B. Bogy, M. Matsumoto. Vibration of head suspensions for proximity recording. IEEE Transactions on Magnetics, vol. 34, no. 4, pp. 1756–1758, 1998.
J. G. Xu, H. Kohira, H. Tanaka, S. Saegusa. Partial-contact head-disk interface approach for high-density recording. IEEE Transactions on Magnetics, vol. 41, no. 10, pp. 3031–3033, 2005.
D. Q. Huang, J. X. Xu, W. Lim, C. L. E.Chow, T. C. Tuong Huynh, V. Venkataramanan. Modeling and compensation of low fly-height vibrations in high density hard disk drive servo systems. In Proceedings of the 36th Annual Conference on IEEE Industrial Electronics Society, IEEE, Glendale, USA, pp. 900–905, 2010.
S. K. Yu, B. Liu, W. Hua, W. D. Zhou. Contact-induced offtrack vibrations of air bearing-slider-suspension system in hard disk drives. Tribology Letters, vol. 24, no. 1, pp. 27–36, 2006.
M. T. White. Characterization and compensation of disturbances caused by head-disk contact in hard disk drives. In Proceedings of American Control Conference, IEEE, New York, USA, pp. 49–54, 2007.
J. X. Xu, D. Q. Huang, V. Venkataramanan, T. C. Tuong Huynh. Frequency-shaping optimal compensation of low fly-height vibration in high density HDD servo systems. In Proceedings of the 9th IEEE International Conference on Control and Automation, IEEE, Santiago, Chile, pp. 1343–1348, 2011.
J. X. Xu, D. Q. Huang, V. Venkataramanan, T. C. Tuong Huynh. Adaptive compensation of contact-induced vibration in high density HDD servo systems using peak filter method. In Proceedings of IEEE International Symposium on Industrial Electronics, IEEE, Hangzhou, China, pp. 797–802, 2012.
J. X. Xu, D. Q. Huang, V. Venkataramanan, T. C. Tuong Huynh. LQG optimal compensation of contact-induced vibration in high density HDD servo systems. In Proceedings of IEEE International Symposium on Industrial Electronics, IEEE, Hangzhou, China, pp. 920–925, 2012.
D. Q. Huang, J. X. Xu, X. Deng, V. Venkataramanan, T. C. Tuong Huynh. GA based high-order peak filter design with application to compensation of contact-induced vibration in HDD servo systems. In Proceedings of IEEE Congress on Evolutionary Computation, IEEE, Brisbane, Australia, pp. 1–8, 2012.
Y. Kim, C. Kang, M. Tomizuka. Adaptive and optimal rejection of non-repeatable disturbance in hard disk drives. In Proceedings of IEEE/ASME International Conference on Advanced Intelligent Mechatronics, IEEE, Monterey, USA, pp. 1–6, 2005.
J. C. Zheng, G. X. Guo, Y. Y. Wang. Identification and decentralized control of a dual-actuator hard disk drive system. IEEE Transactions on Magnetics, vol. 41, no. 9, pp. 2515–2521, 2005.
J. C. Zheng, C. L. Du, G. X. Guo, Y. Y. Wang, J. L. Zhang, Q. Li, B. Hredzak. Phase lead peak filter method to high TPI servo track writer with microactuators. In Proceedings of American Control Conference, IEEE, Minneapolis, USA, pp. 1309–1314, 2006.
Y. Li, G. X. Guo, Y. Y. Wang. Nonlinear mid-frequency disturbance compensation in hard disk drives. In Proceedings of the 16th IFAC World Congress, IFAC, Prague, Czech, pp. 31–36, 2005.
K. J. Aström, R. M. Murray. Feedback Systems: An Introduction for Scientists and Engineers, Princeton, New Jersey, USA: Princeton University Press, 2008.
P. Afshar, A. Nobakhti, H. Wang. Joint process and quality control of a continuously stirred tank reactor with nongaussian process noise. IET Control Theory & Applications, vol. 6, no. 5, pp. 651–661, 2012.
S. Das, P. N. Suganthan. Differential evolution: A survey of the state-of-the-art. IEEE Transactions on Evolutionary Computation, vol. 15, no. 1, pp. 4–31, 2011.
T. Atsumi, A. Okuyama, M. Kobayashi. Track-following control using resonant filter in hard disk drives. IEEE/ASME Transactions on Mechatronics, vol. 12, no. 4, pp. 472–479, 2007.
P. Eykhoff. System Identification: Parameter and State Estimation, New York, USA: John Wiley & Sons, 1974.
T. Tao, D. M. Zhao, Y. F. Hu, Z. D. Zhou. Resource service composition and its optimal-selection based on particle swarm optimization in manufacturing grid system. IEEE Transactions on Industrial Informatics, vol. 4, no. 4, pp. 315–327, 2008.
K. Y. Chan, T. S. Dillon, C. K. Kwong. Modeling of a liquid epoxy molding process using a particle swarm optimizationbased fuzzy regression approach. IEEE Transactions on Industrial Informatics, vol. 7, no. 1, pp. 148–158, 2011.
K. S. Tang, R. J. Yin, S. Kwong, K. T. Ng, K. F. Man. A theoretical development and analysis of jumping gene genetic algorithm. IEEE Transactions on Industrial Informatics, vol. 7, no. 3, pp. 408–418, 2011.
M. F. Miranda, R. C. H. Takahashi, F. G. Jota. Hierarchical approach for H8 robust control design: S/KS mixed sensitivity with genetic algorithm. IET Control Theory & Applications, vol. 1, no. 1, pp. 18–24, 2007.
J. Vesterstrom, R. Thomson. A comparative study of differential evolution, particle swarm optimization, and evolutionary algorithms on numerical benchmark problems. In Proceedings of the Congress on Evolutionary Computation, IEEE, Portland, USA, pp. 1980–1987, 2004.
R. Storn. Differential evolution research: Trends and open questions. In Advances in Differential Evolution, UK Chakraborty, Ed., Berlin, Germany: Springer, pp. 1–32, 2008.
P. Kaelo, M. M. Ali. Differential evolution algorithms using hybrid mutation. Computational Optimization and Applications, vol. 37, no. 2, pp. 231–246, 2007.
D. Zaharie. Influence of crossover on the behavior of Differential Evolution Algorithms. Applied Soft Computing, vol. 9, no. 3, pp. 1126–1138, 2009.
K. Price, R. M. Storn, J. A. Lampinen. Differential Evolution–A Practical Approach to Global Optimization, Berlin, Heidelberg, Germany: Springer, 2005.
A. H. Sacks, M. Bodson, W. Messner. Advanced methods for repeatable runout compensation. IEEE Transactions on Magnetics, vol. 31, no. 2, pp. 1031–1036, 1995.
F. Hong, C. L. Du, K. P. Tee, S. S. Ge. Adaptive disturbance rejection in the presence of uncertain resonance mode in hard disk drives. In Proceedings of American Control Conference, IEEE, St. Louis, USA, pp. 3244–3249, 2009.
V. Venkataramanan, J. X. Xu, D. Huang, T. C. Tuong Huynh. Investigation of contact-induced vibration at low fly-height in hard disk drive servo systems. In Proceedings of Asian-Pacific Magnetic Recording Conference, IEEE, Singapore, pp. 1–2, 2012.