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Control and optimization with dimens...

University of Minnesota., Electrical Engineering.

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Control and optimization with dimensionality constraints.

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Control and optimization with dimensionality constraints./
Author:	Takyar, Mir Shahrouz.
Description:	112 p.
Notes:	Advisers: Tryphon T. Georgiou; Gary J. Balas.
Contained By:	Dissertation Abstracts International69-09B.
Subject:	Engineering, Electronics and Electrical. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3330518
ISBN:	9780549848141

Control and optimization with dimensionality constraints.
Takyar, Mir Shahrouz.

Control and optimization with dimensionality constraints. - 112 p.

Advisers: Tryphon T. Georgiou; Gary J. Balas.

Thesis (Ph.D.)--University of Minnesota, 2008.

The purpose of this thesis is to develop synthesis tools for control design with dimensionality constraints. In particular, given a model for a physical process, the goal is to characterize all possible controllers of a certain dimension which satisfy given performance criteria.

ISBN: 9780549848141Subjects--Topical Terms:

626636
Engineering, Electronics and Electrical.

Control and optimization with dimensionality constraints.
LDR:03024nam 2200361 a 45 001 853020
005 20100701
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020 $a 9780549848141
035 $a (UMI)AAI3330518
035 $a AAI3330518
040 $a UMI $c UMI
100 1 $a Takyar, Mir Shahrouz. $3 1019174
245 1 0 $a Control and optimization with dimensionality constraints.
300 $a 112 p.
500 $a Advisers: Tryphon T. Georgiou; Gary J. Balas.
500 $a Source: Dissertation Abstracts International, Volume: 69-09, Section: B, page: 5677.
502 $a Thesis (Ph.D.)--University of Minnesota, 2008.
520 $a The purpose of this thesis is to develop synthesis tools for control design with dimensionality constraints. In particular, given a model for a physical process, the goal is to characterize all possible controllers of a certain dimension which satisfy given performance criteria.
520 $a In classical feedback design, the complexity of controller adversely affects robustness of the regulatory mechanisms of the feedback and adds to the fragility of the system. The complexity is often due to the difficulty in imposing performance specifications in a natural mathematical context. Typically, this is done using "weight functions" which encapsulate the specifications, and then introducing those in a suitable optimization problem. A contribution of this work is to address a certain type of optimization problem and the choice of weight functions. More precisely, we develop a new design approach which leads to a controller achieving both requirements, the performance specifications and low complexity, at the same time.
520 $a Further, this thesis generalizes the previous methods for multivariable systems by developing analogous theory and techniques. The main contribution in multivariable analytic interpolation is to characterize a family of minimal McMillan degree solutions by a choice of spectral-zero dynamics. In addition to application of this theory for model-matching in control design, we show how to use the same techniques for maximum power transfer in circuit theory, and for spectral estimation in signal analysis.
520 $a Also in this thesis we give new results on implementation of controllers with some very specific elements. One such, which is hard to simulate on a digital computer, is what could be described as "half capacitor". It implements a "fractional integration" and can be used to a great advantage in classical feedback design, providing gain but without introducing time-lag.
590 $a School code: 0130.
650 4 $a Engineering, Electronics and Electrical. $3 626636
650 4 $a Engineering, System Science. $3 1018128
690 $a 0544
690 $a 0790
710 2 $a University of Minnesota. $b Electrical Engineering. $3 1018776
773 0 $t Dissertation Abstracts International $g 69-09B.
790 $a 0130
790 1 0 $a Balas, Gary J., $e advisor
790 1 0 $a Georgiou, Tryphon T., $e advisor
790 1 0 $a Jovanovic, Mihailo $e committee member
790 1 0 $a Luo, Zhi-Quan $e committee member
790 1 0 $a Roumeliotis, Stergios $e committee member
791 $a Ph.D.
792 $a 2008
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3330518