On the Nonlinear Mixed Sensitivity Problem

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Title: On the Nonlinear Mixed Sensitivity Problem
Author: Foias, Ciprian ; Tannenbaum, Allen R. ; Enns, Dale ; Georgiou, Tryphon T. ; Jackson, Michael ; Schipper, Brian
Abstract: The nonlinear H∞ synthesis theory for the sensitivity minimization problem is extended to the two-block mixed sensitivity method. The synthesis method is valid for majorizable input/output operators and can be extended to operators that can be approximated by them. In particular, operators that are analytic in a ball around the origin in a complex Hilbert space are considered. It turns out that it is possible to express each n-linear term of the Taylor expansion of such an operator on a certain tensor space. In the development of the theory, some of the Toeplitz techniques are extended to linear operators defined on certain tensor spaces.
Description: ©1989 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or distribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE. This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder. Presented at the IEEE Conference on Decision and Control, 13-15 December 1989, Tampa, FL DOI: 10.1109/CDC.1989.70272
Type: Proceedings
URI: http://hdl.handle.net/1853/33145
ISSN: 0191-2216
Citation: Ciprian Foias, Allen Tannenbaum, Dale Enns, Tryphon Georgiou, Michael Jackson, and Brian Schipper, "On the Nonlinear Mixed Sensitivity Problem," Proceedings of the 28th Conference on Decision and Control, 1989, Vol. 2, 986-989
Date: 1989-12
Contributor: University of Minnesota. Dept. of Electrical Engineering
Honeywell Systems and Research Center
Indiana University, Bloomington. Dept. of Mathematics
Publisher: Georgia Institute of Technology
Institute of Electrical and Electronics Engineers
Subject: Control system synthesis
Nonlinear control systems
Sensitivity analysis

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