Robust optimization of distributed parameter systems

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Title: Robust optimization of distributed parameter systems
Author: Tannenbaum, Allen R.
Abstract: In this paper, we discuss the use of new methods from robust control and especially H(infinity ) theory for the explicit construction optimal feedback compensators for several practical distributed parameter systems. Indeed, based on operator and interpolation theoretic methods one can now solve the standard H(infinity ) control problem for a broad class of systems modelled by PDEs. On our approach, the complexity of the computations involved is only a function of the weighting filters, and not the state space dimension which is why we can handle infinite dimensional systems with no approximations involved. These techniques are based on certain operator theoretic notions connected with a class of operators which we call skew Toeplitz. These are precisely the operators which appear in the H(infinity ) optimization problem.
Description: ©1995 SPIE--The International Society for Optical Engineering. One print or electronic copy may be made for personal use only. Systematic reproduction and distribution, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper are prohibited. The electronic version of this article is the complete one and can be found online at: http://dx.doi.org/10.1117/12.208830 DOI: 10.1117/12.208830 Presented at Smart Structures and Materials 1995: Mathematics and Control in Smart Structures, 27 February 1995, San Diego, CA, USA
Type: Proceedings
URI: http://hdl.handle.net/1853/32758
ISSN: 0277-786X
Citation: Allen Tannenbaum, "Robust optimization of distributed parameter systems," Smart Structures and Materials 1995: Mathematics and Control in Smart Structures, Vasundara V. Varadan, editor, Proc. SPIE, 2442, 97 (1995)
Date: 1995-02-27
Contributor: University of Minnesota. Dept. of Electrical Engineering
Publisher: Georgia Institute of Technology
International Society for Optical Engineering
Subject: Robust control
Distributed parameter systems
Skew Toeplitz operator
H∞ optimization

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