Fractional State Feedback Control of Undamped and Viscoelastically-Damped Structures
AIR FORCE INST OF TECH WRIGHT-PATTERSON AFB OH SCHOOL OF ENGINEERING
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The purpose of this thesis is to demonstrate the analysis leading to the development of the fractional order state feedback control theory for structural control of both undamped and viscoelastically-damped structures. It is shown herein that there exists a relation between the traditional state vector that includes structural displacements and velocities, and the fractional state vector which includes fractional derivatives of structural responses. This relation permits the modification of linear quadratic regulator theory to include the application of fractional order states in the feedback control. The application of this theory leads to an alternative form of an observer.
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