Title page for ETD etd-042705-110658

Document Type thesis

Author Name Sweeney, Robert John

URN etd-042705-110658

Title Static H-infinity Control of a Cantilevered Beam Using an Analytical Upper Bound Approach

Degree MS

Department Mechanical Engineering

Advisors
Michael Demetriou, Advisor
Nikolaos Gatsonis, Graduate Committee Rep
Mark Richman, Committee Member
Zhikun Hou, Committee Member

Keywords
control system design
flexible structures
piezoelectric

Date of Presentation/Defense 2005-04-08

Availability unrestricted

Abstract

This paper considers the control of externally symmetric vector second order systems using an analytical upper bound method. The structural model is a cantilevered aluminum beam with a collocated pair of piezoceramic patches to serve as actuators and sensors. A computationally efficient method for approximating the H-infinity norm for externally symmetric systems is presented. The approximation method is then used to calculate a scalar output feedback controller to guarantee a closed-loop norm less than any user defined value. This method is tested with a finite-element representation of the beam, and then verified experimentally.

Files
RSweeney.pdf

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Document Type	thesis
Author Name	Sweeney, Robert John
URN	etd-042705-110658
Title	Static H-infinity Control of a Cantilevered Beam Using an Analytical Upper Bound Approach
Degree	MS
Department	Mechanical Engineering
Advisors	Michael Demetriou, Advisor Nikolaos Gatsonis, Graduate Committee Rep Mark Richman, Committee Member Zhikun Hou, Committee Member
Keywords	control system design flexible structures piezoelectric
Date of Presentation/Defense	2005-04-08
Availability	unrestricted
Abstract This paper considers the control of externally symmetric vector second order systems using an analytical upper bound method. The structural model is a cantilevered aluminum beam with a collocated pair of piezoceramic patches to serve as actuators and sensors. A computationally efficient method for approximating the H-infinity norm for externally symmetric systems is presented. The approximation method is then used to calculate a scalar output feedback controller to guarantee a closed-loop norm less than any user defined value. This method is tested with a finite-element representation of the beam, and then verified experimentally.
Files	RSweeney.pdf