Limit sets, zero dynamics, and internal models in the problem of nonlinear output regulation
Authors:
- A. IsidoriAIA. Isidori
- 7 October 2003
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control
- Vol. 48 (10) , 1712-1723
Abstract
In this paper, we lay the foundations for a nonequilibrium theory of nonlinear output regulation, giving a more general (nonequilibrium) definition of the problem, deriving necessary conditions, and, using these necessary conditions, we present a set of sufficient conditions and a design methodology for the solution of the problem in question. Our analysis leads to a nonequilibrium enhancement of the internal model principle.Keywords
This publication has 22 references indexed in Scilit:
- Semi-global nonlinear output regulation with adaptive internal modelIEEE Transactions on Automatic Control, 2001
- On a robust nonlinear servomechanism problemIEEE Transactions on Automatic Control, 1994
- Asymptotic stabilization of minimum phase nonlinear systemsIEEE Transactions on Automatic Control, 1991
- On a nonlinear multivariable servomechanism problemAutomatica, 1990
- Further facts about input to state stabilizationIEEE Transactions on Automatic Control, 1990
- Output regulation of nonlinear systemsIEEE Transactions on Automatic Control, 1990
- Nonlinear controllability and observabilityIEEE Transactions on Automatic Control, 1977
- The internal model principle of control theoryAutomatica, 1976
- The robust control of a servomechanism problem for linear time-invariant multivariable systemsIEEE Transactions on Automatic Control, 1976
- Smoothing derivatives of functions and applicationsTransactions of the American Mathematical Society, 1969