A generalization of the OGY control to continuous-time systems using Floquet theory
Abstract
In this paper, a framework to generalize the OGY control to continuous-time systems is proposed. The framework is based on Floquet theory of linear periodic differential equations and provides a practical method to stabilize unstable periodic orbits (UPOs) and a stability analysis of the closed loop systems. An example of controlling the circular restricted three-body system known as halo orbits is illustrated. It is also reported that stabilization of UPOs can be effective by using the maximum principle to select a nominal orbit.
