A Globally Adaptive Internal Model Regulator for MIMO Linear Systems.

The problem of compensating noise and/or track some reference signal with n unknown frequencies in general linear MIMO systems is treated in this work. We derive a frequency estimator that ensures closed loop robust regulation in some neighborhood of the nominal values of the system as well.

[1]  J.P. Hespanha,et al.  Supervisory control of families of noise suppressing controllers , 1998, Proceedings of the 37th IEEE Conference on Decision and Control (Cat. No.98CH36171).

[2]  D. Mayne.  Nonlinear and Adaptive Control Design [Book Review] , 1996, IEEE Transactions on Automatic Control.

[3]  Lorenzo Marconi,et al.  Semi-global nonlinear output regulation with adaptive internal model , 2001, IEEE Trans. Autom. Control..

[4]  Lorenzo Marconi,et al.  Autonomous vertical landing on an oscillating platform: an internal-model based approach , 2002, Autom..

[5]  Rahmat A. Shoureshi,et al.  Automotive applications of a hybrid active noise and vibration control , 1996 .

[6]  R. Marino,et al.  Global adaptive observers for nonlinear systems via filtered transformations , 1992 .

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

[8]  E. Davison.  The robust control of a servomechanism problem for linear time-invariant multivariable systems , 1976 .

[9]  Riccardo Marino,et al.  Output regulation of linear systems with adaptive internal model , 2001, Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228).

[10]  A. Galip Ulsoy,et al.  Robust adaptive sinusoidal disturbance rejection in linear continuous-time systems , 1997, Proceedings of the 36th IEEE Conference on Decision and Control.

[11]  Zhengtao Ding,et al.  Universal disturbance rejection for nonlinear systems in output feedback form , 2003, IEEE Trans. Autom. Control..

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

[13]  A. Isidori,et al.  Topics in Control Theory , 2004 .

[14]  Christopher I. Byrnes,et al.  Structurally stable output regulation of nonlinear systems , 1997, Autom..

[15]  A. Isidori,et al.  Semiglobal nonlinear output regulation with adaptive internal model , 2000, Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187).

[16]  Scott C. Douglas,et al.  Adaptive algorithms for the rejection of sinusoidal disturbances with unknown frequency , 1996, Autom..

[17]  Jie Huang,et al.  On a robust nonlinear servomechanism problem , 1994, IEEE Trans. Autom. Control..

[18]  Riccardo Marino,et al.  Nonlinear control design: geometric, adaptive and robust , 1995 .

[19]  B. Francis.  The linear multivariable regulator problem , 1976, 1976 IEEE Conference on Decision and Control including the 15th Symposium on Adaptive Processes.

[20]  Bernardino Castillo-Toledo,et al.  Adaptive internal model regulation of a pvtol vehicle , 2004 .

[21]  Alexander G. Loukianov,et al.  A globally convergent estimator for n-frequencies , 2002, IEEE Trans. Autom. Control..

[22]  Riccardo Marino,et al.  Global adaptive compensation of noises with unknown frequency , 2000, Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187).

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

[24]  Jie Huang.  Asymptotic tracking and disturbance rejection in uncertain nonlinear systems , 1995, IEEE Trans. Autom. Control..