Satellite:
Assume disturbance torques are zero and spacecraft moment of inertia is 400 kg.m2
about the rotation axis.
Assume a reaction wheel with max torque capability of 0.025 Nm and angular momentum capacity of 4
Nms at 5100 RPM. Design a control system to stabilize the vehicle in less than 30 minutes for an initial
pitch angle of 30 degrees from 0 (reference), while satisfying the wheel constraints. Determine the gains
of the controller and plot the spacecraft attitude, spacecraft angular velocity, wheel speed, wheel angular
momentum and wheel torque as a function of time.