Global regulation for systems with output dependent nonlinearities and unknown linear exosystems

The class of nonlinear observable systems with known output dependent nonlinearities and with disturbances and/or references generated by an unknown exosystem is considered; non-minimum phase systems are also allowed. When the exosystem is unknown and the resulting reference input consists of a biased sum of sinusoids we address the problem of adaptively generating the reference input on line. A global solution to this problem is provided when only an upper bound on the number of harmonics contained in the reference input is known. The designed controller requires the availability of both the output reference signal and the system output. The regulation design is tested by simulation on an unstable non-minimum phase nonlinear system perturbed by an uncertain number of noisy sinusoidal disturbances

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

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

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

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

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

[6]  Jie Huang,et al.  A general formulation and solvability of the global robust output regulation problem , 2005, IEEE Trans. Autom. Control..

[7]  Riccardo Marino,et al.  Robust adaptive observers for nonlinear systems with bounded disturbances , 2001, IEEE Trans. Autom. Control..

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

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

[10]  Riccardo Marino,et al.  On the linear regulator with unknown stable exosystems , 2004, 2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601).

[11]  B. Paden,et al.  Stable inversion for nonlinear nonminimum-phase time-varying systems , 1998, IEEE Trans. Autom. Control..

[12]  Vladimir O. Nikiforov.  Adaptive Servocompensation of Input Disturbances , 1996 .

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

[14]  Xudong Ye,et al.  Decentralized adaptive output regulation for a class of large-scale nonlinear systems , 2003, IEEE Trans. Autom. Control..

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

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

[17]  V. O. Nikiforov,et al.  Nonlinear servocompensation of unknown external disturbances , 2001, Autom..

[18]  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).

[19]  V. O. Nikiforov,et al.  Adaptive Non-linear Tracking with Complete Compensation of Unknown Disturbances , 1998, Eur. J. Control.

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

[21]  Zhiyong Chen,et al.  Global tracking of uncertain nonlinear cascaded systems with adaptive internal model , 2002, Proceedings of the 41st IEEE Conference on Decision and Control, 2002..

[22]  Jie Huang,et al.  Global robust output regulation for output feedback systems , 2003, IEEE International Conference on Robotics, Intelligent Systems and Signal Processing, 2003. Proceedings. 2003.

[23]  Zhengtao Ding,et al.  Global output regulation of uncertain nonlinear systems with exogenous signals , 2001, Autom..

[24]  Jie Huang.  Asymptotic tracking of a nonminimum phase nonlinear system with nonhyperbolic zero dynamics , 2000, IEEE Trans. Autom. Control..

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