Multiple-period adaptive-repetitive control of a hard disk drive

This paper introduces a new method for synthesizing multiple-period repetitive controllers, which are suitable for integration into a combined adaptive-repetitive control scheme. The proposed synthesis method can be implemented recursively reducing the complexity of controller design considerably when compared with other methods available in the literature. In order to exemplify the synthesis procedure, a multiple-period adaptive-repetitive controller is designed for track-following control of a commercial hard disk drive and implemented in real-time using a digital signal processor. Experimental results show the effectiveness of the approach introduced in this work.

[1]  Bruce A. Francis,et al.  The internal model principle of control theory , 1976, Autom..

[2]  S. Hara,et al.  Repetitive control system: a new type servo system for periodic exogenous signals , 1988 .

[3]  Jianming Lian,et al.  Control of Uncertain Systems , 2009, Handbook of Automation.

[4]  Roberto Horowitz,et al.  Wiener-filter-based Minimum Variance Self-tuning Regulation , 1998, Autom..

[5]  Tsu-Chin Tsao,et al.  Adaptive Tuning and Control of a Hard Disk Drive , 2007, 2007 American Control Conference.

[6]  Masayoshi Tomizuka,et al.  Robust adaptive and repetitive digital tracking control and application to a hydraulic servo for noncircular machining , 1994 .

[7]  J. Doyle,et al.  Robust and optimal control , 1995, Proceedings of 35th IEEE Conference on Decision and Control.

[8]  Diederich Hinrichsen,et al.  Control of Uncertain Systems , 1990 .

[9]  Tsu-Chin Tsao,et al.  Adaptive-repetitive control of a hard disk drive , 2007, 2007 46th IEEE Conference on Decision and Control.

[10]  Jan Sternby,et al.  Application of Repetitive Control to a Peristaltic Pump , 1993, 1993 American Control Conference.

[11]  Paulo Sergio Ramirez,et al.  Fundamentals of Adaptive Filtering , 2002 .

[12]  Tsu-Chin Tsao,et al.  Saturation-Induced Instability and Its Avoidance in Adaptive Control of Hard Disk Drives , 2010, IEEE Transactions on Control Systems Technology.

[13]  Masayoshi Tomizuka,et al.  Analysis and Synthesis of Discrete-Time Repetitive Controllers , 1989 .

[14]  Manabu Yamada,et al.  Design of robust repetitive control system for multiple periods , 2000, Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187).

[15]  Masayoshi Tomizuka,et al.  Zero Phase Error Tracking Algorithm for Digital Control , 1987 .

[16]  George A. Perdikaris Computer Controlled Systems , 1991 .

[17]  S. S. Garimella,et al.  Application of repetitive control to eccentricity compensation in rolling , 1994, Proceedings of 1994 American Control Conference - ACC '94.

[18]  Stephen P. Banks,et al.  Multi-periodic repetitive control system: a Lyapunov stability analysis for MIMO systems , 2004 .