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Zbl 0704.93034
Isidori, Alberto; Byrnes, Christopher I.
Output regulation of nonlinear systems. (English)
[J] IEEE Trans. Autom. Control 35, No.2, 131-140 (1990). ISSN 0018-9286

Summary: The purpose of this paper is to solve the problem of controlling a fixed nonlinear plant in order to have its output track (or reject) a family of reference (or disturbance) signals produced by some external generator. It is shown that, under standard assumptions, this problem is solvable if and only if a certain nonlinear partial differential equation is solvable. Once a solution of this equation is available, a feedback law which solves the problem can easily be constructed. The theory developed in the paper incorporates earlier results established for linear systems [see, e.g., {\it B. A. Francis}, SIAM J. Control Optimization 15, 486-505 (1977); {\it M. Hautus}, ``Linear matrix equations with applications to the regulator problem'', in: {\it I. D. Landau} (ed.), Outils et modèles mathematique pour l'automatique, pp. 399-412, C.N.R.S. (Paris 1982)].

MSC 2000:: *93B52 Feedback control
93C10 Nonlinear control systems
93C15 Control systems governed by ODE
93C35 Multivariable, multidimensional control systems

Keywords: output track

Cited in: Zbl 1051.93087 Zbl 0978.93028 Zbl 0890.93046 Zbl 0786.93066 Zbl 0778.49024

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