## Design and Global Analysis of Spacecraft Attitude Control SystemsNational Aeronautics and Space Administration, Ames Research Center, 1971 - Space vehicles - 46 pages |

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Admissible forcing functions admissible initial conditions angular momentum exchange assumed asymptotically stable attitude control systems attitude error feedback body angular velocity body coordinates boundary comparison model components Consider constant angular velocity control moment gyros corresponding cross product curve denoted dynamic equation eigenvector envelope is given equations l8 equivalence error angle error function example external torque Figure following control law George Meyer given system global analysis grid G gyroscopic coupling Hamilton-Jacobi equation Hence inertial space inner gimbal angles kinematic equation Liapunov functions magnitude function magnitude of attitude maximum nominal control law optimal control outlined in table parameters possible control situations possible motions properties of three-dimensional reaction wheels response envelope rotation matrix saturation sensors set of admissible simulation skew-symmetric matrix spacecraft attitude spherical errors spherically bounded spherically symmetric model star trackers Suppose target angular velocity target attitude motion three-dimensional rotations total angular momentum trajectory unit vector upper estimate