93-138
Optimal Open-Loop And Feedback Control Using
Single Gimbal Control Moment Gyroscopes
Brian R. Hoelscher* and Srinivas R. Vadali**
Abstract
Methods for control of spacecraft maneuvers through the use of single gimbal control moment gyroscopes are developed. The development employs an integrated model of the spacecraft dynamics with the control moment gyroscope dynamics. Smooth and continuous open-loop control profiles are obtained which minimize a weighted function of maneuver time, magnitude of control effort, and proximity to singular gimbal configurations. Closed-loop state feedback control laws are derived by invoking Lyapunov stability theory. The state feedback controller is developed to execute stable eigenaxis rotations. Two schemes are presented for implementing the commanded state feedback: gimbal rate control and gimbal acceleration control. The appropriate handling of singular gimbal configurations is also discussed.
*Graduate Research Assistant, Department of Aerospace Engineering, Texas A&M University, College Station, Texas 77843. Currently. Systems Engineer 11 at Dual. Inc., Houston, Texas 77058.
**Associate Professor, Department of Aerospace Engineering, Texas A&M University, College Station, Texas 77843