A generalized control law for uniform, global and exponential magnetic detumbling of rigid spacecraft. Issue 2 (2020)

• Record Type: Journal Article
• Authors: Petit, Nicolas; Sarras, Ioannis
• Is Part Of: IFAC-PapersOnLine. Volume 53:Issue 2(2020)
• Page Start: 14876
• Page End: 14881
• Publication Date: 2020
• Subjects: satellite control -- time-varying systems -- Lyapunov stability; Automatic control -- Periodicals; 629.805
• DOI: 10.1016/j.ifacol.2020.12.1946
• Languages: English
• ISSNs: 2405-8963

Abstract

Abstract: The problem of magnetic detumbling, also known as magnetic momentum unloading, is considered. The objective is to stabilize a rigid spacecraft angular velocity to zero only through magnetic actuation, i.e. magneto-torquers. We propose a generalized control law that is uniformly, globally exponentially stabilizing (UGES) and show that the celebrated b-dot law is one particular case of this law. Furthermore, we provide an explicit (time-varying) strict Lyapunov function to establish the stability claim.