Singleaxis gyroscopic motion with uncertain angular velocity about spin axis
Abstract
A differential game approach is presented for studying the response of a gyro by treating the controlled angular velocity about the input axis as the evader, and the bounded but uncertain angular velocity about the spin axis as the pursuer. When the uncertain angular velocity about the spin axis desires to force the gyro to saturation a differential game problem with two terminal surfaces results, whereas when the evader desires to attain the equilibrium state the usual game with single terminal manifold arises. A barrier, delineating the capture zone (CZ) in which the gyro can attain saturation and the escape zone (EZ) in which the evader avoids saturation is obtained. The CZ is further delineated into two subregions such that the states in each subregion can be forced on a definite target manifold. The application of the game theoretic approach to Control Moment Gyro is briefly discussed.
 Publication:

ASME Journal of Dynamic Systems and Measurement Control B
 Pub Date:
 December 1977
 Bibcode:
 1977ATJDS..99..259S
 Keywords:

 Angular Velocity;
 Game Theory;
 Gyroscopes;
 Spacecraft Motion;
 Spin Dynamics;
 Control Moment Gyroscopes;
 Differential Equations;
 EulerLagrange Equation;
 Mathematical Models;
 Minimax Technique;
 Instrumentation and Photography