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Piece-wise identification and analysis of the aerodynamic coefficients, trim conditions, and safe sets of the generic transport model

, , und . AIAA Guidance, Navigation, and Control Conference, (2018)
DOI: 10.2514/6.2018-1114

Zusammenfassung

© 2018, American Institute of Aeronautics and Astronautics Inc, AIAA. All rights reserved. Aeronautical research has investigated the Generic Transport Model (GTM) in windtunnel studies and provides today an elaborated aerodynamic model for designing methods dedicated to convergence analysis or control problems of aerial vehicles. In this paper, we propose a novel approach for fitting aerodynamic coefficients, namely piece-wise polynomial identification, which is based on measurements in both pre- and post-stall region. The developed method suggests a systematic approach to determine full envelope better than the purely polynomial models published yet. As a result, an analysis of GTM's longitudinal trim conditions has been successfully applied on the piece-wise identified model and achieves better results than polynomial models. Based on the trim conditions, safe set computation for linear-quadratic controllers is argued to be a powerful tool for verification of nonlinear control systems. Using common and multiple Lyapunov-functions theory, we are able to present a method for the safe set computation with piece-wise defined systems dynamics.

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