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
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.
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