Abstrac
In this paper, we consider the global robust output regulation problem for a class of uncertain nonlinear systems with nonlinear exosystems. By employing the internal model approach, we show that this problem boils down to a global robust stabilization problem of a time-varying nonlinear system in lower triangular form, the solution of which will lead to the solution of the global robust output regulation problem. An example shows the effectiveness of the proposed approach.
Similar content being viewed by others
References
Chen Z, Huang J. Global robust output regulation for output feedback systems. IEEE Trans Autom Control, 2005, 50(1): 117–121
Serrani A, Isidori A. Global robust output regulation for a class of nonlinear systems. Syst Control Lett, 2000, 39(2): 133–139
Byrnes C I, Priscoli F D, Isidori A, et al. Structurally stable output regulation of nonlinear systems. Automatica, 1997, 33(3): 369–385
Huang J, Chen Z. A general framework for tackling the output regulation problem. IEEE Trans Autom Control, 2004, 49(12): 2203–2218
Nikiforov V O. Adaptive non-linear tracking with complete compensation of unknown disturbances. Eur J Control, 1998, 4(2): 132–139
Ding Z. Output regulation of uncertain nonlinear systems with nonlinear exosystems. IEEE Trans Autom Control, 2006, 51(3): 498–503
Chen Z, Huang J. Robust output regulation with nonlinear exosystems. Automatica, 2005, 41(8): 1447–1454
Huang J. Remarks on the robust output regulation problem for nonlinear systems. IEEE Trans Autom Control, 2001, 46(12): 2028–2031
Khalil H K. Nonlinear Systems. 3rd ed. Upper Saddle River, NJ: Prentice Hall, 2002
Kristic M, Kanellakopoulos I, Kokotovic P. Nonlinear and Adaptive Control Design. New York: John Wiley and Sons, 1995
Ilchmann A. Non-identifier-based High-gain Adaptive Control. Berlin: Springer-Verlag, 1993
Ye X, Huang J. Decentralized adaptive output regulation for large-scale nonlinear systems. IEEE Trans Autom Control, 2003, 48(2): 276–281
Rinzel J. A Formal Classification of Bursting Mechanisms in Excitable Systems. In: Teramoto E, Yamaguti M, eds. Mathematical Topics in Population Biology, Morphogenesis and Neurosciences, Lecture Notes in Biomathematics. Berlin: Springer-Verlag, 1987. 71: 267–281
Author information
Authors and Affiliations
Corresponding author
Additional information
Supported by the Research Grants Council of the Hong Kong Special Administration Region (Grant No. 412408)
Rights and permissions
About this article
Cite this article
Sun, W., Huang, J. Output regulation for a class of uncertain nonlinear systems with nonlinear exosystems and its application. Sci. China Ser. F-Inf. Sci. 52, 2172–2179 (2009). https://doi.org/10.1007/s11432-009-0183-9
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11432-009-0183-9