Dynamic surface control based finite-time reconfiguration of gravitational wave detection spacecraft with input saturation

Abstract

This paper proposes a novel finite-time tracking control method for Gravitational Wave (GW) detection spacecraft formation, addressing the critical challenges of input saturation and unknown disturbances. The proposed approach integrates Dynamic Surface Control (DSC) with auxiliary systems and Nussbaum functions to effectively handle input saturation constraints, ensuring smooth control signals without actuator overreach. To counteract unknown disturbances, a nonlinear disturbance observer (NDO) is designed, providing real-time estimation and compensation for external perturbations. The introduction of finite-time stability theory enables a precise estimation of the time required to achieve the desired reconfiguration accuracy, a crucial requirement for GW detection missions. Rigorous stability analysis is performed using Lyapunov theory, proving that all signals in the closed-loop system are ultimately uniformly bounded. Numerical simulations demonstrate the superior performance of the proposed method, showing significant improvements in tracking accuracy compared to traditional methods. The results highlight the method’s potential for enhancing the precision and reliability of GW detection spacecraft formation control.