Environmental effects on the dynamics and control of an orbiting large flexible antenna system

The environmental effects on a proposed large flexible space structure, namely, the Hoop/Column antenna system are studied. Mathematical models for the disturbances resulting from the interaction of solar radiation pressure with the vibrating and also thermally deformed antenna structure are developed. Expressions for the stabilizing gravity-gradient torques are also obtained. The uncontrolled transient response of the antenna system shows that the structure may tumble in orbit due to the expected disturbances. Linear quadratic regulator techniques are used to develop control laws for the actuators which could provide both shape and orientation control. The controlled response of the system is simulated for various initial conditions. The steady state rms pointing accuracy and the antenna surface accuracy are met in all the cases considered here. In order to reduce the control effort required to maintain the shape and orientation, the thermal deformations will have to be minimized. In the preliminary design of the system, materials should be considered which have a higher thermal conductivity and a lower coefficient of linear expansion, within cost constraints.