Chatter Avoidance in Delayed Feedback Attitude Control with MRP Shadow Set Switching

Abstract

The chattering response at the MRP shadow set switching point for the controlled attitude dynamics of a rigid tumbling spacecraft using delayed state feedback control with MRPs is investigated, where the time delay is assumed to be in the measurement of the state. In addition, a strategy to reduce or completely avoid the chattering phenomena using a hysteretic boundary layer switching rule is employed. Simulations are performed to demonstrate the chattering phenomenon and the advantages of the modified MRP shadow set switching rule.