Attitude takeover control of failed spacecraft using discrete dynamic game theory

In on-orbit service missions, microsatellites can be employed to achieve attitude takeover control of failed spacecraft by attaching to their surfaces, regardless of variations in size and geometry. It can be seen that microsatellites can bring an efficient implementation of attitude takeover control to restore the attitude control capability of failed spacecraft with intact payloads. Considering that the actual takeover controller is ultimately implemented in discrete form, a discrete attitude takeover control strategy is proposed which allows each microsatellite to independently optimize its performance index function instead of a secondary control distribution through a central controller. A data-driven Lyapunov iteration algorithm is proposed to compute the Nash equilibrium strategies for each microsatellite under incomplete information, thereby reducing computational burdens of microsatellites in the comparison with continuous-time game method. The proposed method is validated through numerical simulations, demonstrating the effectiveness and feasibility of the proposed discrete-time dynamic game-based control method.