Adaptive gain-scheduling control for hypersonic flight vehicles across wide envelopes based on Guardian map

Abstract In this study, we developed an adaptive gain-scheduling algorithm for hypersonic flight vehicles operating across wide altitude-Mach number envelopes. First, we employed a gap metric-based nominal point selection algorithm to establish a linear parameter-varying (LPV) model more accurate than the traditional Jacobian linearisation method. Active disturbance rejection control (ADRC) was then applied to cope with disturbances and uncertainties, and control gains were scheduled using the Guardian maps (GM) method to adapt to the wide envelope of velocity and altitude. The simulation results demonstrate that under all operating conditions, the proposed algorithm can automatically iterate to obtain a gain-scheduling strategy that meets the flying qualities requirements. Notably, the proposed algorithm exhibited an integral of the time absolute error approximately half of that of the traditional ADRC and significantly lower than that of the GM-LQR method in the ascent phase, demonstrating its excellent control performance and robustness.