Global Output Regulation of A Class of Nonlinear Systems with Nonlinear Exosystems

This paper deals with global output regulation with nonlinear exosystems for a class of uncertain nonlinear output feedback systems. The circle criterion is exploited for the internal model design to accommodate the nonlinearities in the exosystems, and the explicit conditions are given for the exosystems such that proposed internal model design can be applied. The uncertainties of the output feedback systems are in the form of unknown constant parameters, and adaptive control techniques are used to ensure the global stability of the proposed control design for output regulation

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

[2]  Zhengtao Ding,et al.  Output regulation of uncertain nonlinear systems with nonlinear exosystems , 2006, Proceedings of the 2004 American Control Conference.

[3]  Petar V. Kokotovic,et al.  Tracking controllers for systems linear in the unmeasured states , 1995, Autom..

[4]  R. Marino,et al.  Global adaptive output-feedback control of nonlinear systems. I. Linear parameterization , 1993, IEEE Trans. Autom. Control..

[5]  A. Isidori,et al.  Output regulation of nonlinear systems , 1990 .

[6]  A. Isidori,et al.  Global robust output regulation for a class of nonlinear systems , 2000 .

[7]  Francesco Delli Priscoli,et al.  Output regulation with nonlinear internal models , 2004, Syst. Control. Lett..

[8]  Murat Arcak,et al.  Certainty-equivalence output-feedback design with circle-criterion observers , 2005, IEEE Transactions on Automatic Control.

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

[10]  R. Marino,et al.  Global adaptive output-feedback control of nonlinear systems , 1991, [1991] Proceedings of the 30th IEEE Conference on Decision and Control.

[11]  H. Khalil,et al.  Output feedback stabilization of fully linearizable systems , 1992 .

[12]  Jie Huang,et al.  Robust output regulation with nonlinear exosystems , 2005, Proceedings of the 2004 American Control Conference.

[13]  Christopher I. Byrnes,et al.  Nonlinear internal models for output regulation , 2004, IEEE Transactions on Automatic Control.

[14]  Zhengtao Ding,et al.  Global output regulation of uncertain nonlinear systems with exogenous signals , 2001, 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]  V. O. Nikiforov,et al.  Adaptive Non-linear Tracking with Complete Compensation of Unknown Disturbances , 1998, Eur. J. Control.

[17]  Hassan K. Khalil,et al.  Robust Servomechanism Output Feedback Controllers for a Class of Feedback Linearizable Systems , 1993 .

[18]  Petar V. Kokotovic,et al.  Nonlinear observers: a circle criterion design and robustness analysis , 2001, Autom..

[19]  H. Khalil.  Adaptive output feedback control of nonlinear systems represented by input-output models , 1996, IEEE Trans. Autom. Control..

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

[21]  I. Kanellakopoulos,et al.  Adaptive tracking for a class of feedback linearizable systems , 1994, IEEE Trans. Autom. Control..

[22]  Zhengtao Ding,et al.  Global output regulation with minimum information of uncertain nonlinear systems subject to exogenous signals , 2000, Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187).

[23]  Jie Huang,et al.  On a nonlinear multivariable servomechanism problem , 1990, Autom..