Time Delay Margin Analysis for Adaptive Flight Control Laws A THESIS SUBMITTED TO THE FACULTY OF THE GRADUATE SCHOOL OF THE UNIVERSITY OF MINNESOTA BY Andrei Dorobantu IN PARTIAL FULFILLMENT OF THE REQUIREMENTS FOR THE DEGREE OF MASTER OF SCIENCE
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Adaptive control algorithms have the potential to improve performance and reliability in flight control systems. Implementation of adaptive control on commercial and military aircraft requires validation and verification of the control system robustness to modeling error and uncertainty. Currently, there is a lack of tools available to rigorously analyze the performance and robustness of adaptive systems due to their inherently nonlinear dynamics. This thesis addresses the development of nonlinear robustness analysis tools for adaptive flight control systems. First, a model reference adaptive controller is derived for an aircraft short period model. It is noted that the controller is a polynomial system. Polynomial optimization tools are then applied to the closed-loop model to assess its robustness to time delays. Time delay margins are computed for various tuning of design parameters in the adaptive law, as well as in the presence of model uncertainty.
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تاریخ انتشار 2010