Restricted Global Robust Output Regulation for Output Feedback Systems with Nonlinear Exosystems

In this paper, we study the global robust output regulation problem for output feedback systems with nonlinear exosystems. Under a set of standard assumptions, it is shown that, for any given exogenous signals generated by the exosystem contained in some compact set and any set of unknown constant parameter, there exists an output feedback controller such that the solution of the closed-loop system, starting from any initial state of the closed-loop system, exists and is bounded for all t > 0, and the tracking error e approaches zero asymptotically. Such problem is called restricted global robust output regulation problem as opposed to the global robust output regulation problem defined previously.

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

[2]  Han-Fu Chen,et al.  Strongly consistent coefficient estimate for errors-in-variables models , 2005, Autom..

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

[4]  Zhong-Ping Jiang,et al.  Output feedback stabilization and approximate and restricted tracking for a class of cascaded systems , 2005, IEEE Transactions on Automatic Control.

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

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

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

[8]  Jie Huang,et al.  Remarks on the robust output regulation problem for nonlinear systems , 2001, IEEE Trans. Autom. Control..

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

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

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

[12]  Eduardo Sontag,et al.  New characterizations of input-to-state stability , 1996, IEEE Trans. Autom. Control..

[13]  Jie Huang,et al.  Global robust output regulation for output feedback systems , 2005, IEEE Transactions on Automatic Control.

[14]  Zhengtao Ding Output regulation of uncertain nonlinear systems with nonlinear exosystems , 2006, IEEE Transactions on Automatic Control.