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Current flight control validation is heavily based on linear analysis andhigh fidelity, nonlinear simulations. Continuing developments of nonlinearanalysis tools for flight control has greatly enhanced the validation process.Many analysis tools are reliant on assuming the analytical flight dynamics butthis paper proposes an approach using only simulation data. First, this paperpresents improvements to a method for estimating the region of attraction (ROA)of nonlinear systems governed by ordinary differential equations (ODEs) basedonly on trajectory measurements. Faster and more accurate convergence to thetrue ROA results. These improvements make the proposed algorithm feasible inhigher-dimensional and more complex systems. Next, these tools are used toanalyze the four-state longitudinal dynamics of NASA's Generic Transport Model(GTM) aircraft. A piecewise polynomial model of the GTM is used to simulatetrajectories and the developed analysis tools are used to estimate the ROAaround a trim condition based only on this trajectory data. Finally, thealgorithm presented is extended to estimate the ROA of finitely manyequilibrium point systems and of general equilibrium set (arbitrary equilibriumpoints and limit cycles) systems.

Nonlinear Trajectory-Based Region of Attraction Estimation for Aircraft Dynamics Analysis