Aperiodic Disturbance Rejection in Repetitive-Control Systems

A repetitive control system (RCS) provides good control performance for periodic signals, but it may not satisfactorily reject aperiodic disturbances. Our solution is an equivalent-input-disturbance (EID)-based RCS in which aperiodic disturbances are estimated by an EID estimator and rejected by incorporation of the estimate into the repetitive control law. A stability criterion and a design algorithm have been developed, and the validity of the method has been demonstrated through simulations and experiments on a rotational speed control system. A comparison of the disturbance rejection performance of this method, proportional-integral-differential control, conventional repetitive control, and H∞ repetitive control demonstrates the superiority of this method.

[1]  Ramon Costa-Castelló,et al.  Power factor correction and harmonic compensation using second-order odd-harmonic repetitive control , 2012 .

[2]  Fuminori Kobayashi,et al.  Highly precise rotational speed control by a hybrid of PLL and repetitive control , 2012 .

[3]  Michio Nakano,et al.  High Accuracy Control of a Proton Synchrotron Magnet Power Supply , 1981 .

[4]  Siep Weiland,et al.  Design of noise and period-time robust high-order repetitive control, with application to optical storage , 2007, Autom..

[5]  Myung Jin Chung,et al.  Design of a repetitive controller: an application to the track-following servo system of optical disk drives , 2006 .

[6]  Yong He,et al.  Simultaneous optimisation of the low-pass filter and state-feedback controller in a robust repetitive-control system , 2010 .

[7]  Byung-Sub Kim,et al.  Two-parameter robust repetitive control with application to a novel dual-stage actuator for noncircular Machining , 2004, IEEE/ASME Transactions on Mechatronics.

[8]  Mingxing Fang,et al.  Improving Disturbance-Rejection Performance Based on an Equivalent-Input-Disturbance Approach , 2008, IEEE Transactions on Industrial Electronics.

[9]  Jan Swevers,et al.  Robust high-order repetitive control: Optimal performance trade-offs , 2008, Autom..

[10]  Yaodong Pan,et al.  Equivalent-Input-Disturbance Approach—Analysis and Application to Disturbance Rejection in Dual-Stage Feed Drive Control System , 2011, IEEE/ASME Transactions on Mechatronics.

[11]  Myung Jin Chung,et al.  Repetitive control for the track-following servo system of an optical disk drive , 1998, IEEE Trans. Control. Syst. Technol..

[12]  W. Wonham,et al.  The internal model principle for linear multivariable regulators , 1975 .

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

[14]  Baogang Xu,et al.  Disturbance rejection in repetitive-control systems based on equivalent-input-disturbance approach , 2011, IEEE Conference on Decision and Control and European Control Conference.

[15]  T. Miyazaki,et al.  Robust Tracking Control of Optical Disk Recording System based on Sudden Disturbance Observer , 2006, IECON 2006 - 32nd Annual Conference on IEEE Industrial Electronics.

[16]  Masayoshi Tomizuka,et al.  Shock rejection for repetitive control using a disturbance observer , 1996, Proceedings of 35th IEEE Conference on Decision and Control.

[17]  Qingsong Xu,et al.  Design and Robust Repetitive Control of a New Parallel-Kinematic XY Piezostage for Micro/Nanomanipulation , 2012, IEEE/ASME Transactions on Mechatronics.

[18]  Tsu-Chin Tsao,et al.  A new method for synthesizing multiple-period adaptive-repetitive controllers and its application to the control of hard disk drives , 2010, Autom..

[19]  Kam K. Leang,et al.  Accounting for hysteresis in repetitive control design: Nanopositioning example , 2012, Autom..