Direct adaptive rejection of unknown time-varying narrow band disturbances applied to a benchmark problem

Abstract The paper presents a direct adaptive algorithm for the rejection of unknown time-varying narrow band disturbances, applied to an adaptive regulation benchmark. The objective is to minimize the residual force by applying an appropriate control signal on the inertial actuator in the presence of multiple and/or unknown time-varying disturbances. The direct adaptive control algorithm is based on the internal model principle (IMP) and uses the Youla–Kucera (YK) parametrization. A direct feedback adaptive regulation is proposed and evaluated both in simulation and real-time. The robustness is improved by shaping the sensitivity functions of the system through band stop filters (BSF).

[1]  Ioan Doré Landau,et al.  Adaptive narrow band disturbance rejection applied to an active suspension - an internal model principle approach , 2005, Autom..

[2]  T. Gouraud,et al.  Design of robust and frequency adaptive controllers for harmonic disturbance rejection in a single-phase power network , 1997, 1997 European Control Conference (ECC).

[3]  Gunnar Bengtsson,et al.  Output regulation and internal models - A frequency domain approach , 1977, Autom..

[4]  I. D. Landau,et al.  Digital Control Systems: Design, Identification and Implementation , 2006 .

[5]  G. Hillerstrom,et al.  Rejection of periodic disturbances with unknown period-a frequency domain approach , 1994, Proceedings of 1994 American Control Conference - ACC '94.

[6]  Fabio Celani,et al.  Output regulation for the TORA benchmark via rotational position feedback , 2011, Autom..

[7]  Ioan Doré Landau,et al.  Pole placement with sensitivity function shaping using 2nd order digital notch filters , 2003, Autom..

[8]  Brian D. O. Anderson,et al.  From Youla-Kucera to Identification, Adaptive and Nonlinear Control , 1998, Autom..

[9]  Ioan Doré Landau,et al.  Adaptive Suppression of Multiple Time-Varying Unknown Vibrations Using an Inertial Actuator , 2011, IEEE Transactions on Control Systems Technology.

[10]  B. Pasik-Duncan,et al.  Adaptive Control , 1996, IEEE Control Systems.

[11]  Riccardo Marino,et al.  Regulation of Linear Systems With Unknown Exosystems of Uncertain Order , 2007, IEEE Transactions on Automatic Control.

[12]  A. G. Ulsoy,et al.  Adaptive Sinusoidal Disturbance Rejection in Linear Discrete-Time Systems—Part I: Theory , 1999 .

[13]  Alexey A. Bobtsov,et al.  Adaptive observer of an unknown sinusoidal output disturbance for linear plants , 2009 .

[14]  Alexey A. Bobtsov.  Output control algorithm with the compensation of biased harmonic disturbances , 2008 .

[15]  A. Galip Ulsoy,et al.  Adaptive Sinusoidal Disturbance Rejection in Linear Discrete- Time Systems— Part II: Experiments , 1999 .

[16]  Ya.Z. Tsypkin.  Stochastic Discrete Systems With Internal Models , 1997 .

[17]  Ioan Doré Landau,et al.  Benchmark on adaptive regulation - rejection of unknown/time-varying multiple narrow band disturbances , 2013, Eur. J. Control.

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

[19]  Riccardo Marino,et al.  Output Feedback Stabilization of Linear Systems with Unknown Additive Output Sinusoidal Disturbances , 2008, Eur. J. Control.

[20]  Ioan Doré Landau,et al.  Adaptive regulation—Rejection of unknown multiple narrow band disturbances (a review on algorithms and applications) , 2011 .

[21]  A. Pyrkin,et al.  An iterative algorithm of adaptive output control with complete compensation for unknown sinusoidal disturbance , 2012 .