Tracking Controller Design for Satellite Attitude Under Unknown Constant Disturbance Using Stable Embedding

• Published in: Journal of electrical engineering & technology Vol. 16; no. 2; pp. 1089 - 1097
• Main Authors: Ko, Wonshick, Phogat, Karmvir Singh, Petit, Nicolas, Chang, Dong Eui
• Format: Journal Article
• Language: English
• Published: Singapore Springer Singapore 01.03.2021; Springer; 대한전기학회
• Subjects: Automatic; Electrical Engineering; Electrical Machines and Networks; Electronics and Microelectronics; Engineering; Engineering Sciences; Instrumentation; Original Article; Power Electronics; 전기공학; Satellite; Embedding; Attitude tracking control; Quaternions; Lyapunov function
• ISSN: 1975-0102; 2093-7423
• DOI: 10.1007/s42835-020-00622-3

We propose a tracking control law for the fully actuated rigid body system in the presence of any unknown constant disturbance by employing quaternions with the stable embedding technique and Lyapunov stability theory. The stable embedding technique extends the attitude dynamics from the set of unit quaternions to the set of quaternions, which is a Euclidean space, such that the set of unit quaternions is an invariant set of the extended dynamics. Such a stable extension of the system dynamics to a Euclidean space allows us to employ well studied Lyapunov techniques in Euclidean spaces such as LaSalle–Yoshizawa’s theorem. A robust tracking control law is proposed for the attitude dynamics subject to unknown constant disturbance and the convergence properties of the tracking control law is rigorously proven. It is demonstrated with the help of numerical simulations that the proposed control law has a remarkable performance even in some challenging situations.