Piece-wise Identification and Analysis of the Aerodynamic Coefficients, Trim Conditions, and Safe Sets of the Generic Transport Model

摘要

Aeronautical research has investigated the Generic Transport Model (GTM) in wind-tunnel 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.