Novel Gaussian mixture model based nonsingular terminal sliding mode control for spacecraft close-range proximity with complex shape obstacle

This study is mainly focusing on the problem of spacecraft close-range proximity with obstacle avoidance in presence complex shape. A novel Gaussian mixture model–based nonsingular terminal sliding mode control (GMM-NTSMC) proposed. achieved by developing GMM-based potential function a switching surface NTSMC. It theoretically proved that closed-loop system globally stable. The main contribution this avoiding strategies, which include (GMM-TSMC) and GMM-NTSMC, can solve collision considering shape while artificial function–based model (APF-TSMC) fails. Moreover, GMM-NTSMC GMM-TSMC require less energy respect to APF-TSMC. Furthermore, retains advantage NTSMC avoid singularity cannot. Finally, numerical simulations are performed verify effectiveness superiority proposed GMM-NTSMC.