Linear and Nonlinear Control Laws for Formation Flying
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In this paper, we analyze different control schemes for formation flying satellites. The objective is to devise control strategies that can stabilize large formations optimally. Three types of controllers are studied in this paper (i) Lyapunov stabilized controller (ii) LQR controllers and (iii) Period matching controllers. A standard Lyapunov controller offers global stability and zero steady state tracking errors but the associated control cost is very high. The LQR controllers guarantee only local stability but offer significant cost benefits. The period matching controllers exploit the existence of control free natural solutions and force the dynamics to the nearest period matched trajectory. The period matching control law results in zero steady state controls.
Advances in the Astronautical Sciences
author list (cited authors)
Vaddi, S. S., & Vadali, S. R
complete list of authors