Observer-based dual hybrid nonfragile tracking control for satellite swarm reconstruction

Abstract

This paper investigates the tracking control problem of satellite swarm reconstruction, where relative motion information in unknown and coexisting perturbations in both the observer and controller is addressed. Considering the multisource complex disturbances due to the space environment effect, a planned trajectory of a member satellite is given to satisfy the obstacle avoidance and dynamic constraints. Then, considering the coexistence of additive and multiplicative perturbations, a so-called dual hybrid nonfragile controller, i.e., a hybrid nonfragile state observer-based hybrid nonfragile tracking controller, is developed to achieve the tracking control performance of member satellites along the planned trajectory. Lyapunov stability analysis is performed to demonstrate the system stability via linear matrix inequalities (LMIs); thus, the satellite swarm can achieve the optimal trajectory reconstruction from its initial position to the desired position with topological constraints. Finally, numerical simulations are performed to demonstrate the effectiveness and superiority of the developed dual hybrid nonfragile control approach.