Displacement and Velocity Feedback Control of a Beam with a Deadband Region |
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| Authors: | John C Bruch Jr Sarp Adali James M Sloss Ibrahim S Sadek |
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| Institution: | 1. DEPARTMENT OF MECHANICAL AND ENVIRONMENTAL ENGINEERING , UNIVERSITY OF CALIFORNIA , SANTA BARBARA, CALIFORNIA;2. DEPARTMENT OF MATHEMATICS , UNIVERSITY OF CALIFORNIA , SANTA BARBARA, CALIFORNIA;3. DEPARTMENT OF MATHEMATICAL SCIENCES , UNIVERSITY OF NORTH CAROLINA AT WILMINGTON , WILMINGTON, NORTH CAROLINA |
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| Abstract: | ABSTRACT The problem of controlling the dynamic response of a beam by means of displacement and velocity feedback is solved. The objective of the control is to prevent the maximum deflection and/or velocity of a beam from exceeding given upper and lower bounds. The control is The theory is illustrated by two numerical examples that involve displacement and velocity feedback control. An assessment is made of the effectiveness of the proposed control by defining a performance measure. It is observed that the dynamic response of the beam can be kept within specified bounds by applying a large enough control force, which also depends on the extent of the deadband region. A measure of force spent in the control process is defined and plotted against the dynamic response, which is observed to decrease rapidly as the bounds approach the values set by the uncontrolled beam. |
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