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

TL;DR

This paper investigates chattering in spacecraft attitude control using MRPs with delayed feedback and proposes a hysteretic boundary layer switching strategy to mitigate it, supported by simulation results.

Contribution

It introduces a hysteretic boundary layer switching rule to reduce chattering in MRP shadow set switching under delayed feedback conditions.

Findings

Chattering occurs at MRP shadow set switching points.

The proposed hysteretic switching reduces or eliminates chattering.

Simulations demonstrate improved control performance with the new strategy.

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.