Study on Gain-Scheduled Control of a High-Speed Variable-Sweep Vehicle

Variations in flight conditions and wing configuration alter the aerodynamic characteristics and inertial properties of high-speed variable-sweep vehicles. A longitudinal gain-scheduled controller combining common Lyapunov vertex synthesis and inverse-distance weighting (IDW) is investigated. A normalized effective interpolation distance bounds the deviation from the nearest vertex gain and yields a sufficient stability condition for an ideal scheduled short-period model under regularity and covering-radius assumptions. Numerical simulations show that IDW is defined at all 2000 sampled operating points, with Hurwitz-stable frozen models, whereas barycentric interpolation covers 33.9%. Compared with the parameter-dependent Lyapunov function (PDLF)-based barycentric baseline, the weighted nominal tracking score differs by 0.56%, and both controllers pass 298 of 300 perturbed simulations. Mean full-simulation elapsed time decreases from 238.3 to 59.4 s, a 75.1% reduction in the tested MATLAB implementation. These results support broader sampled coverage and comparable tracking performance with lower implementation-specific computational cost.