Nonlinear Optimal Feedback Regulation of Satellite Angular Monenta

Abstract

Some important regulation properties of satellite angular momentum dynamics are investigated using a combination of reaction jets and flywheels. The optimal feedback controller is designed in such a way that system regulation, under large perturbations, to a proper bounded subset in Rn, is achieved by using reaction jets. Thereafter, flywheels are activated to bring the system to the rest (desired) state. The domain and the size over which reaction jets are active, as well as the corresponding fuel cost, are discussed. Further, the effect of linear as well as nonlinear optimal feedback regulators on system behavior is indicated. Finally, the range (in the state space Rn) over which the flywheels are capable of regulating the system is also studied.