High-order Differential Feedback Control and Quantitative Analysis for High-spinning Flight Vehicles

High-spinning flight vehicles (HFVs) offer significant advantages for modern flight systems, including low cost and high-precision guidance. With the advancement of high-performance angular accelerometers, direct perception and feedback of angular acceleration have become a promising approach. In this paper, a two-loop acceleration autopilot with high-order feedback of angular acceleration (AFAA) is proposed to replace the traditional feedback of angular rate (AFAR). Both autopilots are synthesized via linear quadratic output feedback tracking (LQ OFT) approach with direct feedthrough component, incorporating frequency constraints. A hierarchical quantitative analysis framework including matrix pseudospectra-based robustness indices, degree of output controllability (DOC), null controllable region, and stability region, is developed to evaluate the performance of the proposed AFAA structure. Numerical simulations, accounting for sensor dynamics, are conducted to compare the frequency-domain characteristics and hierarchical quantitative parameters of HFVs with varying static stability properties. The results demonstrate the superiority of AFAA over AFAR and highlight the enhanced control performance achieved by static anti-stable HFVs.