Spatial observer-based repetitive controller: An active disturbance rejection approach

Abstract Linear Repetitive Control has proven to be an effective strategy to compensate for periodic disturbances in mechatronic systems that operate at constant speed; however, it renders very poor performance in varying speed applications. In this work, a Repetitive Controller based on a Generalized Proportional Integral (GPI) observer under Active Disturbance Rejection approach is presented and formulated in spatial domain. The inclusion of the linear GPI observer makes possible to see the spatial non-linear system as a simplified linear one by means of an on-line estimated unified disturbance term. Experimental results show that the presented linear approach successfully rejects periodic disturbances under varying speed conditions.

[1]  Jwu-Sheng Hu.  Variable Structure Digital Repetitive Controller , 1992, 1992 American Control Conference.

[2]  Tsu-Chin Tsao,et al.  Repetitive Control for Asymptotic Tracking of Periodic Signals With an Unknown Period , 2000 .

[3]  Zhiqiang Gao,et al.  A survey of state and disturbance observers for practitioners , 2006, 2006 American Control Conference.

[4]  Maarten Steinbuch,et al.  Repetitive control for systems with uncertain period-time , 2002, Autom..

[5]  Hebertt Sira-Ramírez,et al.  Robust discrete Generalized Proportional Integral Control: Application in mechanical systems , 2009, 2009 European Control Conference (ECC).

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

[7]  Francis J. Doyle,et al.  Survey on iterative learning control, repetitive control, and run-to-run control , 2009 .

[8]  W. Messner,et al.  Design of adaptive feedforward controllers using internal model equivalence , 1994, Proceedings of 1994 American Control Conference - ACC '94.

[9]  Zhiqiang Gao,et al.  From Poncelet's invariance principle to Active Disturbance Rejection , 2009, 2009 American Control Conference.

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

[11]  Hebertt Sira-Ramírez,et al.  A Robust Linear Field-Oriented Voltage Control for the Induction Motor: Experimental Results , 2013, IEEE Transactions on Industrial Electronics.

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

[13]  Ramon Costa-Castelló,et al.  Stability analysis of digital repetitive control systems under time-varying sampling period , 2011 .

[14]  Quan Quan,et al.  A Survey of Repetitive Control for Nonlinear Systems , 2010 .

[15]  Cheng-Lun Chen,et al.  Position‐dependent disturbance rejection using spatial‐based adaptive feedback linearization repetitive control , 2009 .

[16]  Cheng-Lun Chen,et al.  Adaptive Repetitive Control for Uncertain Variable-Speed Rotational Motion Systems Subject to Spatially Periodic Disturbances , 2007, 2007 American Control Conference.

[17]  Ramon Costa-Castelló,et al.  Demonstration of the internal model principle by digital repetitive control of an educational laboratory plant , 2005, IEEE Transactions on Education.

[18]  Graham C. Goodwin,et al.  Sampling and sampled-data models , 2010, Proceedings of the 2010 American Control Conference.

[19]  Yutaka Yamamoto,et al.  Learning Control and Related Problems in Infinite-Dimensional Systems , 1993 .

[20]  John Cortés-Romero,et al.  Control lineal robusto de sistemas no lineales diferencialmente planos , 2011 .

[21]  Alberto Luviano-Juarez,et al.  A discrete-time observer-based control for induction motors , 2010, IECON 2010 - 36th Annual Conference on IEEE Industrial Electronics Society.

[22]  Cheng-Lun Chen,et al.  Spatial-based adaptive iterative learning control of nonlinear rotary systems with spatially periodic parametric variation , 2009, 2009 7th Asian Control Conference.

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

[24]  Zhiqiang Gao,et al.  A Practical Approach to Disturbance Decoupling Control , 2009 .

[25]  M. Tomizuka,et al.  Digital control of repetitive errors in disk drive systems , 1990, IEEE Control Systems Magazine.

[26]  Masayoshi Tomizuka,et al.  Dealing with periodic disturbances in controls of mechanical systems , 2007, PSYCO.

[27]  Gene F. Franklin,et al.  Digital control of dynamic systems , 1980 .

[28]  Li Cuiyan,et al.  A survey of repetitive control , 2004, IROS.