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.
Worcester Polytechnic Institute
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Sweeney, Robert John, "Static H-infinity Control of a Cantilevered Beam Using an Analytical Upper Bound Approach" (2005). Masters Theses (All Theses, All Years). 358.
control system design, flexible structures, piezoelectric, Control theory