Daniel Hammerand, James Gariffo, Kevin Roughen, Myles Baker, and Oddvar Bendiksen
Design of modern control laws motivates the creation of state-space models from aeroservoelastic models. Balanced truncation is often used to create reduced-order models. In the present work, a reduced order model that employs time scaling in computing the balancing transformation is developed. The transformation matrix necessary to transform the original (unscaled) aeroservoelastic model is found from that corresponding to the time scaled model. Results from an aeroservoelastic wing and a supersonic transport model are shown and it is demonstrated that with an appropriate choice of time scaling, the methodology results in greatly improved conditioning for the Lyapunov equations used to find the Gramians employed in the balancing transformation.