Global output tracking and rejection of multi biased sinusoidal disturbances with unknown frequencies for nonlinear systems

Global output tracking and rejection of multi biased sinusoidal disturbances with unknown frequencies for nonlinear systems is considered. Disturbance observers (DOBs) in the form of a high pass filter are proposed to estimate multiple biased sinusoidal disturbances with unknown frequencies. The nonlinear control method is designed to compensate the estimation errors of the disturbances and guarantee the global output tracking. The matching conditions is no significant in the proposed method. The proposed method imposes no restriction on the number of disturbances, and no restriction such as biased sinusoidal signals. Therefore, the complete rejection of multi sinusoidal disturbance with stabilization can be achieved by the proposed method.

[1]  Y.W.A. Wu Demonstration of active vibration control of the Hughes cryocooler testbed , 1992, [1992] Proceedings of the 31st IEEE Conference on Decision and Control.

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

[3]  Huei Peng,et al.  Disturbance Observer Based Tracking Control , 2000 .

[4]  Y. Wei,et al.  Demonstration of active vibration control on the Hughes cryocooler testbed , 1992, [Proceedings 1992] The First IEEE Conference on Control Applications.

[5]  Kyung-Soo Kim,et al.  Disturbance Observer for Estimating Higher Order Disturbances in Time Series Expansion , 2010, IEEE Transactions on Automatic Control.

[6]  Zhengtao Ding,et al.  Asymptotic Rejection of General Periodic Disturbances in Output-feedback Nonlinear Systems , 2005, Proceedings of the 44th IEEE Conference on Decision and Control.

[7]  Chung Choo Chung,et al.  Observer-based variable structure control in microstepping for permanent magnet stepper motors , 2010, 2010 IEEE/ASME International Conference on Advanced Intelligent Mechatronics.

[8]  P. Khosla,et al.  Harmonic generation in adaptive feedforward cancellation schemes , 1994, IEEE Trans. Autom. Control..

[9]  Zhengtao Ding,et al.  Global stabilization and disturbance suppression of a class of nonlinear systems with uncertain internal model , 2003, Autom..

[10]  M. Tomizuka,et al.  Comparison of four discrete-time repetitive control algorithms , 1993, IEEE Control Systems.

[11]  Masayoshi Tomizuka,et al.  A Comparison of Four Discrete-Time Repetitive Control Algorithms , 1992, 1992 American Control Conference.

[12]  Qing Zhang,et al.  Identification of periodic signals with uncertain frequency , 2003, IEEE Trans. Signal Process..

[13]  S. Beale,et al.  Adaptive forced balancing for magnetic bearing control systems , 1992, [1992] Proceedings of the 31st IEEE Conference on Decision and Control.

[14]  Sergio Bittanti,et al.  Active control of vibrations in helicopters via pole assignment techniques , 1994, IEEE Trans. Control. Syst. Technol..

[15]  Chi-Tsong Chen,et al.  Linear System Theory and Design , 1995 .

[16]  Scott C. Douglas,et al.  Active noise control for periodic disturbances , 2001, IEEE Trans. Control. Syst. Technol..

[17]  H. Shim,et al.  Design and experiment of add-on track following controller for optical disc drives based on robust output regulation , 2004, Proceedings of the 2004 American Control Conference.

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

[19]  Riccardo Marino,et al.  Global compensation of unknown sinusoidal disturbances for a class of nonlinear nonminimum phase systems , 2005, IEEE Transactions on Automatic Control.

[20]  Seibum B. Choi,et al.  Skyhook damper modification using fuzzy logic control for control effort and NVH reduction , 2011, 2011 11th International Conference on Control, Automation and Systems.

[21]  Riccardo Marino,et al.  Robust adaptive compensation of biased sinusoidal disturbances with unknown frequency , 2003, Autom..

[22]  Masayoshi Tomizuka,et al.  Pivot Friction Compensation Using an Accelerometer and a Disturbance Observer for Hard Disk Drives , 1997, 8th International Symposium on Information Storage and Processing Systems.

[23]  Hyeongcheol Lee,et al.  A study on an FES and Exoskeletal robot for walking assistance of paralyzed human , 2011, 2011 11th International Conference on Control, Automation and Systems.

[24]  Marimuthu Palaniswami,et al.  Adaptive internal model for disturbance rejection and control , 1993 .

[25]  P. Olver Nonlinear Systems , 2013 .

[26]  Marc Bodson,et al.  Rejection of periodic disturbances of unknown and time‐varying frequency , 2005 .

[27]  Riccardo Marino,et al.  Output regulation for linear systems via adaptive internal model , 2003, IEEE Trans. Autom. Control..

[28]  Chung Choo Chung,et al.  Adaptive Output Regulation for the Rejection of a Periodic Disturbance With an Unknown Frequency , 2011, IEEE Transactions on Control Systems Technology.