Trajectory planning/re-planning for satellite systems in rendezvous mission in the presence of actuator faults based on attainable efforts analysis

Abstract

The objective of fault-tolerant control (FTC) is to minimise the effect of faults on system performance (stability, trajectory tracking, etc.). However, the majority of the existing FTC methods continue to force the system to follow the pre-fault trajectories without considering the reduction in available control resources caused by actuator faults. Forcing the system to follow the same trajectories as before fault occurrence may result in actuator saturation and system's instability. Thus, pre-fault objectives should be redefined in function of the remaining resources to avoid potential saturation. The main contribution of this paper is a flatness-based trajectory planning/re-planning method that can be combined with any active FTC approach. The work considers the case of over-actuated systems where a new idea is proposed to evaluate the severity of faults occurred. In addition, the trajectory planning/re-planning approach is formulated as an optimisation problem based on the analysis of attainable efforts domain in fault-free and fault cases. The proposed approach is applied to two satellite systems in rendezvous mission.

Keywords:

• satellite systems
• trajectory planning/re-planning
• actuator faults
• flatness
• attainable efforts

Additional information

Notes on contributors

Abbas Chamseddine

Abbas Chamseddine received his Ph.D. degree in Control Engineering from Paul-Cézanne University, France, in 2007. He was a post-doctoral fellow (PDF) at the Research Centre for Automatic Control of Nancy (CRAN) of University of Lorraine, France in 2008 before joining the Department of Mechanical and Industrial Engineering, Concordia University, as a PDF in September 2009. Currently, he is a PDF at the Department of Electrical Engineering of the Ecole de Technologie Supérieure, Montreal, Canada. His research interests include control, fault diagnosis and fault-tolerant control for ground, aerial and aerospace systems. Dr. Chamseddine has published about 40 journal/conference papers and is a co-author of one book and one book chapter.

Cédric Join

Cédric Join, scientific expert, 39 years old, is an Associate Professor at University of Lorraine since 2004 and is a member of the INRIA project-team, NON-A. His Ph.D. dealing with the problem of fault diagnosis obtained the best Ph.D. price during years 2002 –2003 (decreed by GdR MACS). His research interest include the development of estimation techniques for linear and nonlinear systems and financial mathematics. In 2005, he invented with M. Fliess, the notion of model-free control. His works are published in international journals (17), book chapters (2) and in international conferences (more than 50). His H-number equals 19 (according to Google scholar). With the collaboration of H. Abouaissa, M. Fliess, M. Mboup and H. Sira-Ramirez, three patents were published since 2006 concerning image and signal processing treatments, traffic control and hydroelectric power plants, which won the innovation price of Ecole Polytechnique, Paris in 2010. More recently, the project with M. Fliess, of engineering company creation was rewarded by OSEO.

Didier Theilliol

Didier Theilliol received the Ph.D. degree in Control Engineering from University of Lorraine (France) in 1993. Since September 2004, he is a full Professor in Research Centre for Automatic Control of Nancy (CRAN) at University of Lorraine where he co-ordinates and leads national, European and International R&D projects in steel industries, wastewater treatment plant and aerospace domains. His current research interests include sensor and actuator model-based fault diagnosis (FDI) method synthesis and active fault-tolerant control (FTC) system design for LTI, LPV, Multi-linear systems and also reliability analysis of components. Prof. Theilliol published over 200 journal/conference papers and is a co-author of a new book entitled ‘Fault-tolerant Control Systems: Design and Practical Applications’ (2009). He is one of European Advanced Control and Diagnosis (EACD) steering committee members and is also a member of IFAC Technical Committee 6.2. Mining, Mineral and Metal Processing. He is currently an Associate Editor of ISA Transactions Journal, Unmanned Systems journal and International Journal of Applied Mathematics & Computer Science.