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Output regulation with nonlinear internal models. (English) Zbl 1157.93412
Summary: This paper addresses the problem of semi-global nonlinear output regulation for a class of nonlinear systems possessing a nonlinear internal model. It is shown that, under appropriate (and verifiable) hypotheses, the standard assumption that the feed-forward inputs needed to keep the zero error manifold invariant satisfy a linear differential equation can be weakened.

93C15 Control/observation systems governed by ordinary differential equations
93D25 Input-output approaches in control theory
93D30 Lyapunov and storage functions
Full Text: DOI
[1] Byrnes, C.I.; Delli Priscoli, F.; Isidori, A.; Kang, W., Structurally stable output regulation of nonlinear systems, Automatica, 33, 369-385, (1997) · Zbl 0873.93043
[2] F. Delli Priscoli, Robust tracking for polynomial plants, in: Proceedings of Second European Control Conference, Groningen, The Netherlands, 1993, pp. 369-373.
[3] Huang, J., Asymptotic tracking and disturbance rejection in uncertain nonlinear systems, IEEE trans. automat. control, 40, 1118-1122, (1995) · Zbl 0829.93027
[4] Huang, J.; Lin, C.F., On a robust nonlinear multivariable servomechanism problem, IEEE trans. automat. control, 39, 1510-1513, (1994) · Zbl 0800.93290
[5] Isidori, A., Nonlinear control system, (1995), Springer New York
[6] Isidori, A., A remark on the problem of semiglobal nonlinear output regulation, IEEE trans. automat. control, 42, 1734-1738, (1997) · Zbl 0897.93055
[7] Isidori, A.; Byrnes, C.I., Output regulation of nonlinear system, IEEE trans. automat. control, 35, 131-140, (1990) · Zbl 0704.93034
[8] Khalil, H.K., Robust servomechanism output feedback controllers for feedback linearizable systems, Automatica, 30, 1587-1599, (1994) · Zbl 0816.93032
[9] Khalil, H.K.; Esfandiari, F., Semiglobal stabilization of a class of nonlinear systems using output feedback, IEEE trans. automat. control, 38, 1412-1415, (1993) · Zbl 0787.93079
[10] Krener, A.J.; Isidori, A., Linearization by output injection and nonlinear observers, Syst. control lett, 3, 47-52, (1983) · Zbl 0524.93030
[11] Nikiforov, V.O., Adaptive non-linear tracking with complete compensation of unknown disturbances, European J. control, 4, 132-139, (1998) · Zbl 1047.93550
[12] Serrani, A.; Isidori, A.; Marconi, L., Nonlinear output regulation with frequency adaptation, IEEE trans. automat. control, 46, 1178-1194, (2001) · Zbl 1057.93053
[13] Teel, A., A nonlinear small gain theorem for the analysis of control systems with saturations, IEEE trans. automat. control, 41, 1256-1270, (1996) · Zbl 0863.93073
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