Nonlinear relative position control of precise formation flying using polynomial eigenstructure assignment |
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| Authors: | Feng Wang XueQin Chen Antonios Tsourdos Brian A White YunHua Wu |
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| Institution: | 1. Harbin Institute of Technology, Heilongjiang 150001, China;2. Cranfield University, Shrivenham, Swindon SN6 8LA, United Kingdom;3. Surrey Space Centre, University of Surrey, Guildford GU2 7XH, United Kingdom;1. Electrical Engineering Department, University of Mons, 31 Boulevard Dolez, 7000 Mons, Belgium;2. Department of Electrical Energy, Electrical Energy Laboratory (EELAB), Systems and Automation (EESA), Ghent University, Technologiepark 913, B-9052 Zwijnaarde, Belgium;3. General Physics Department, Polytechnic Faculty, University of Mons, 9 Rue de Houdain, 7000 Mons, Belgium;1. Texas A&M University at Qatar, Department of Electrical and Computer Engineering, Qatar Foundation, Doha, Qatar;2. Department of Electronics and Automation, Gazi University, Ankara, Turkey;3. Qatar University, Department of Electrical Engineering, Doha, Qatar |
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| Abstract: | A nonlinear relative position control algorithm is designed for spacecraft precise formation flying. Taking into account the effect of J2 gravitational perturbations and atmospheric drag, the relative motion dynamic equation of the formation flying is developed in a quasi-linear parameter-varying (QLPV) form without approximation. Base on this QLPV model, polynomial eigenstructure assignment (PEA) is applied to design the controller. The resulting PEA controller is a function of system state and parameters, and produces a closed-loop system with invariant performance over a wide range of conditions. Numerical simulation results show that the performance can fulfill precise formation flying requirements. |
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