Robust output regulation for a class of nonlinear systems not detectable by the regulated output

Abstract This paper considers the robust output regulation problem for a class of nonlinear systems that are not detectable by the regulated output. Different from the previous results on the subject, it is supposed that the regulated system is in the normal form not defined on the conventional regulated output. We propose a novel internal model structure that, together with a high-gain stabilizing action, solves the problem robustly with respect to possible uncertainties affecting the system.

[1]  Hassan K. Khalil,et al.  A separation principle for the stabilization of a class of nonlinear systems , 1997, 1997 European Control Conference (ECC).

[2]  Alberto Isidori,et al.  Robust Autonomous Guidance: An Internal Model Approach , 2003 .

[3]  Changyun Wen,et al.  Output Regulation of Multivariable Nonlinear Systems Using Extra Outputs , 2018 .

[4]  Alberto Isidori,et al.  Nonlinear Control Systems II , 1999 .

[5]  Lorenzo Marconi,et al.  Pre-Processing Nonlinear Output Regulation with Non Vanishing Measurements , 2018, 2018 IEEE Conference on Decision and Control (CDC).

[6]  Lorenzo Marconi,et al.  Nonlinear output regulation for invertible nonlinear MIMO systems , 2016 .

[7]  Jie Huang,et al.  Global output regulation for output feedback systems with an uncertain exosystem and its application , 2010 .

[8]  B. Castillo-Toledo,et al.  Structurally stable regulation for a class of nonlinear systems: Application to a rotary inverted pendulum , 2006 .

[9]  Zhong-Ping Jiang,et al.  A small-gain control method for nonlinear cascaded systems with dynamic uncertainties , 1997, IEEE Trans. Autom. Control..

[10]  Alberto Isidori,et al.  Output feedback stabilization of nonlinear MIMO systems having uncertain high-frequency gain matrix , 2015, Syst. Control. Lett..

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

[12]  Jie Huang,et al.  Nonlinear Output Regulation: Theory and Applications , 2004 .

[13]  Jie Huang,et al.  A general framework for tackling the output regulation problem , 2004, IEEE Transactions on Automatic Control.

[14]  Lorenzo Marconi,et al.  Shifting the internal model from control input to controlled output in nonlinear output regulation , 2012, 2012 IEEE 51st IEEE Conference on Decision and Control (CDC).

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

[16]  Zhong-Ping Jiang,et al.  Small-gain theorem for ISS systems and applications , 1994, Math. Control. Signals Syst..

[17]  Christopher I. Byrnes,et al.  Limit sets, zero dynamics, and internal models in the problem of nonlinear output regulation , 2003, IEEE Trans. Autom. Control..

[18]  Eduardo D. Sontag,et al.  Mathematical Control Theory: Deterministic Finite Dimensional Systems , 1990 .

[19]  A. Teel,et al.  Tools for Semiglobal Stabilization by Partial State and Output Feedback , 1995 .

[20]  L. Marconi,et al.  Output Stabilization via Nonlinear Luenberger Observers , 2006, SIAM J. Control. Optim..

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

[22]  A. Isidori Nonlinear Control Systems , 1985 .