Model predictive control for pose synchronization of satellite proximity via the Takagi–Sugeno fuzzy modeling method

On-orbit servicing has become one of the challenging frontiers of space operations. Most of the on-orbit missions require an important technology, pose synchronization, to prepare or implement the tasks. The nonlinearity caused by the couple between orbit and attitude often brings inconvenience when designing series of control strategies. This paper addresses a novel reformulation for pose dynamics based on dual quaternion, in which the problem of the nonlinearity of pose coupled dynamics for rigid spacecraft is mainly concerned. In this research, we intend to use the Takagi–Sugeno (TS) fuzzy modeling method to remodel the pose dynamics based on dual quaternion. Based on the reconstructed model, the original nonlinear system can be equivalently linearized in the fuzzy field. Subsequently, a global stabilized controller for system stabilization as a feasible control scheme is proposed. For further research, a feedback-based model predictive control (MPC) strategy is proposed to optimize the fuel consumption during the stabilization of the system. Finally, numerical simulations are provided to verify the effectiveness of the proposed modeling and control strategies.