Discrete-time H2 optimal reset control with application to HDD track-following

This paper proposes a design method of discrete-time reset control systems with the reset time instants pre-specified. With a base linear system designed conventionally, the discrete-time reset law design aims at improving disturbance suppression of the system. The design method can be converted to a standard H2 optimal control problem and the solution of the controller is obtained by solving Riccati equations. The proposed reset controller design method is applied to track following stage of a hard disk drive servo system.

[1]  Orhan Beker,et al.  Stability of a MIMO reset control system under constant inputs , 1999, Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304).

[2]  Christopher V. Hollot,et al.  On Horowitz's contributions to reset control , 2002 .

[3]  Hui Li,et al.  Optimal reset law design of reset control systems with application to HDD systems , 2009, Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference.

[4]  Christopher V. Hollot,et al.  Stability and asymptotic performance analysis of a class of reset control systems , 2000, Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187).

[5]  Isaac Horowitz,et al.  Synthesis of a non-linear feedback system with significant plant-ignorance for prescribed system tolerances† , 1974 .

[6]  Tong Heng Lee,et al.  Hard Disk Drive Servo Systems , 2002 .

[7]  J. Geromel,et al.  An LMI optimization approach to multiobjective controller design for discrete-time systems , 1999, Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304).

[8]  Lihua Xie,et al.  An improved mixed H2/H∞ control design for hard disk drives , 2005, IEEE Trans. Control. Syst. Technol..

[9]  Wassim M. Haddad,et al.  Active control of combustion instabilities via hybrid resetting controllers , 2000, Proceedings of the 2000 American Control Conference. ACC (IEEE Cat. No.00CH36334).

[10]  J. C. Clegg.  A nonlinear integrator for servomechanisms , 1958, Transactions of the American Institute of Electrical Engineers, Part II: Applications and Industry.

[11]  Youyi Wang,et al.  NONLINEAR MID-FREQUENCY DISTURBANCE COMPENSATION IN HARD DISK DRIVES , 2005 .

[12]  I. Horowitz,et al.  Non-linear design for cost of feedback reduction in systems with large parameter uncertainty † , 1975 .

[13]  M Maarten Steinbuch,et al.  Experimental demonstration of reset control design , 2000 .

[14]  Youyi Wang,et al.  Reset Integral-Derivative Control for HDD Servo Systems , 2007, IEEE Transactions on Control Systems Technology.

[15]  Youyi Wang,et al.  Discrete-time optimal reset control for the improvement of HDD servo control transient performance , 2009, 2009 American Control Conference.

[16]  Lihua Xie,et al.  $H_2$ Control for Head Positioning in Axial and Radial Dimensions for Self-Servo Track Writing , 2008, IEEE Transactions on Control Systems Technology.

[17]  K. C. Wong,et al.  Plant With Integrator: An Example of Reset Control Overcoming Limitations of Linear Feedback , 2001 .

[18]  Tao Yang,et al.  In: Impulsive control theory , 2001 .

[19]  Orhan Beker,et al.  Stability of a reset control system under constant inputs , 1999, Proceedings of the 1999 American Control Conference (Cat. No. 99CH36251).

[20]  Christopher V. Hollot,et al.  Analysis of reset control systems consisting of a FORE and second-order loop , 2001 .

[21]  Dennis S. Bernstein,et al.  Resetting Virtual Absorbers for Vibration Control , 2000 .

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

[23]  C. Hollot,et al.  FUNDAMENTAL PROPERTIES OF RESET CONTROL SYSTEMS , 2002 .

[24]  Faryar Jabbari,et al.  An active truss element and control law for vibration suppression , 1995 .