T-S fuzzy control in satellite formation flying on ellipse orbit

A T-S fuzzy control system based on asymptotic tracking control is designed for a formation flying with ellipse orbits that model parameters vary with wide range under operating condition. Linear models are derived from the original nonlinear model on several operating points. Then local asymptotic tracking controllers are designed for each linear model by LQR approach. Based on them, the T-S fuzzy control system is constructed with the orbit angular velocity as the premises and the local linear model as the consequents. The stability of the system in large range is analyzed by means of linear matrix inequality (LMI) approach. The simulation results show that the system works well over a wide region of operation.