Nonlinear H∞ Optimization: A Causal Power Series Approach

Show full item record

Please use this identifier to cite or link to this item: http://hdl.handle.net/1853/34066

Title: Nonlinear H∞ Optimization: A Causal Power Series Approach
Author: Foias, Ciprian ; Gu, Caixing ; Tannenbaum, Allen R.
Abstract: In this paper, using a power series methodology a design procedure applicable to analytic nonlinear plants is described. The technique used is a generalization of the linear H∞ theory. In contrast to previous work on this topic ([Indiana J. Math., 36 (1987), pp. 693–709], [Oper. Theory Adv. Appl., 41 (1989), pp. 255–277], [SIAM J. Control Optim., 27 (1989), pp. 842–860] ), the authors are now able to incorporate explicitly a causality constraint into the theory. In fact, it is shown that it is possible to reduce a causal optimal design problem (for nonlinear systems) to a classical interpolation problem solvable by the commutant lifting theorem [Harmonic Analysis of Operators on Hilbert Space, North-Holland, Amsterdam, 1970], [The Commutant Lifitng Approach to Interpolation Problems, Birkhäuser, Boston, 1990].
Description: ©1995 Society for Industrial and Applied Mathematics. Permalink: http://dx.doi.org/10.1137/S0363012992236164 DOI: 10.1137/S0363012992236164
Type: Article
URI: http://hdl.handle.net/1853/34066
ISSN: 0363-0129
Citation: Ciprian Foias, Caixing Gu, and Allen Tannenbaum, "Nonlinear H∞ Optimization: A Causal Power Series Approach," SIAM Journal on Control Optimization, Vol. 33, No. 1 (January 1995) 185-207
Date: 1995-01
Contributor: University of Minnesota. Dept. of Electrical Engineering
Indiana University, Bloomington. Dept. of Mathematics
Publisher: Georgia Institute of Technology
Society for Industrial and Applied Mathematics
Subject: Nonlinear systems
H∞ optimization
Causality
Commutant lifting theorem
Interpolation theory
Volterra series

All materials in SMARTech are protected under U.S. Copyright Law and all rights are reserved, unless otherwise specifically indicated on or in the materials.

Files in this item

Files Size Format View
1995_jco_001.pdf 15.85Mb PDF View/ Open

This item appears in the following Collection(s)

Show full item record