Interpolation problems for null and pole structure of nonlinear systems

Author

Ball, Joseph A. ; Helton, J.William

Author_Institution

Virginia Tech, Blacksburg, VA, USA

fYear

1988

fDate

7-9 Dec 1988

Firstpage

14

Abstract

Recent progress in the domain of interpolation problems for the null and pole structure of nonlinear systems is reviewed. The ultimate goal is the design of stabilizing compensators to optimize performance over a wide operating regime. This requires solving nonlinear analogs of Nevanlinna-Pick interpolation or the related Nehari problems. The authors discuss the notion of null and pole pair and its connection with the theory of realization. They then obtain a time-domain version of these ideas, formulate their nonlinear analogs and discuss nonlinear null/pole interpolation

Keywords

compensation; interpolation; nonlinear control systems; poles and zeros; stability; time-domain synthesis; Nehari problems; Nevanlinna-Pick interpolation; nonlinear null/pole interpolation; null structure; pole structure; stability; stabilizing compensators; theory of realization; time domain synthesis; Buildings; Closed loop systems; H infinity control; Interpolation; Nonlinear dynamical systems; Nonlinear systems; Poles and zeros; Robust control; State-space methods; Sufficient conditions;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1988., Proceedings of the 27th IEEE Conference on

Conference_Location

Austin, TX

Type

conf

DOI

10.1109/CDC.1988.194261

Filename

194261