On the stabilization of nonlinear systems

Author

Anantharam, V. ; Desoer, C.A.

Author_Institution

University of California, Berkeley, CA, USA

Volume

Issue

fYear

1984

fDate

6/1/1984 12:00:00 AM

Firstpage

569

Lastpage

572

Abstract

We extend the applicability of the global $Q$ -parametrization method of controller design to a large class of unstable nonlinear plants. The main result is a two-step compensation theorem analogous to that of Zames for unstable linear plants-if $P: L_{e2} \\rightarrow L_{e1}$ is a nonlinear (possibly unstable) plant and F0is any incrementally stable controller such that $P_{1}:=P(I - F_{0}(-P))^{-1}$ is incrementally stable, then the class of controllers $F$ which yields an f.g. stable closed-loop system in the unity feedback configuration for $P$ is globally parametrized by finite gain stable maps $Q: L_{e1} \\rightarrow L_{e2}$ with $F = F_{0} + Q(I - P_{-1}Q)^{-1}$

Keywords

Stability, nonlinear systems; Control systems; Design methodology; Feedback control; Nonlinear dynamical systems; Nonlinear systems; Open loop systems; Output feedback; Robustness; Servomechanisms; Stability;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.1984.1103584

Filename

1103584

Link To Document

https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=845365