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Proceedings Paper

Robust optimization of distributed parameter systems
Author(s): Allen R. Tannenbaum
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Paper 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.

Paper Details

Date Published: 5 May 1995
PDF: 12 pages
Proc. SPIE 2442, Smart Structures and Materials 1995: Mathematics and Control in Smart Structures, (5 May 1995); doi: 10.1117/12.208830
Show Author Affiliations
Allen R. Tannenbaum, Univ. of Minnesota/Twin Cities (United States)

Published in SPIE Proceedings Vol. 2442:
Smart Structures and Materials 1995: Mathematics and Control in Smart Structures
Vasundara V. Varadan, Editor(s)

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