LPV based Robust gain-schduled control for a Hypersonic morphing vehicle

This study presents a gain-scheduled control framework for hypersonic morphing vehicle(HMV), systematically addressing stability challenges induced by coupled parametric uncertainties. A longitudinal linear parameter-varying (LPV) model is developed by integrating aerodynamic data with the dynamic interplay between wing sweep angle and velocity. Jacobian linearization techniques are employed to preserve essential morphing-induced nonlinear characteristics within the LPV structure. To ensure global stability during morphing, a polyhedral LPV structure is adopted, and a parameter-dependent state feedback controller is synthesized via linear matrix inequality (LMI)-based convex optimization. This approach significantly reduces the computational complexity of controller design while maintaining robustness against time-varying parameters. Rigorous validation demonstrates the dynamic consistency between the LPV model and original nonlinear system. Numerical simulations reval that the sweep angle and velocity variations critically influence aerodynamic characteristics, yet the proposed controller achieves exceptional tracking precision with transient performance metrics of pitch angle overshoot ≤0.1°, altitude fluctuation ≤ 0.01%. These results confirm the controller’s capability to stabilize the morphing process even under rapid parametric transitions.