Autonomous attitude using potential function method under control input saturation

Radice, G. and Ali, I. (2008) Autonomous attitude using potential function method under control input saturation. In: 59th International Astronautical Congress, Glasgow, UK, 27 Sep - 3 Oct 2008,

Abstract

The potential function method has been used extensively in nonlinear control for the development of feedback laws which result in global asymptotic stability for a certain prescribed operating point of the closed-loop system. It is a variation of the Lyapunov direct method in the sense that here the Lyapunov function, also called potential function, is constructed in such a way that the undesired points of the system state space are avoided. The method has been considered for the space applications where the systems involved are usually composed of the cascaded subsystems of kinematics and dynamics and the kinematic states are mapped onto an appropriate potential function which is augmented for the overall system by the use of the method of integrator backstepping. The conventional backstepping controls, however, may result in an excessive control effort that may be beyond the saturation bound of the actuators. The present paper, while remaining within the framework of conventional backstepping control design, proposes analytical formulation for the control torque bound being a function of the tracking error and the control gains. The said formulation can be used to tune to the control gains to bound the control torque to a prescribed saturation bound of the control actuators.

• Item Type: Conference Proceedings
• Additional Information: Paper Number: IAC-08.C1.7.2
• Keywords: Lyapunov method, potential functions, spacecraft attitude control
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Radice, Dr Gianmarco
• Authors: Radice, G., and Ali, I.
• Subjects: T Technology > TK Electrical engineering. Electronics Nuclear engineering
• College/School: College of Science and Engineering > School of Engineering > Autonomous Systems and Connectivity
• Research Group: Space Advanced Research Team
• Copyright Holders: Copyright © 2008 The Authors
• First Published: First published in proceedings of the 59th International Astronautical Congress
• Publisher Policy: Reproduced with permission of the author