IDEAS OF THE INVARIANCE THEORY AND INERTIAL NAVIGATION,
Abstract:
The article reviews the basic concepts of the theory of invariance as pertains to automatic control systems, that is, systems in which perturbations impinging on the system are automatically compensated for. The basic ideas are illustrated using the case of a pendulum, both neglecting and considering the curvature of the Earth. This example is then applied to the problem of inertial navigation of a satellite. The object in the figure is assumed to be traveling along a great circle of the Earth. From the point of view of the theory of invariance, the compensating force is shown to be Mt. Various applications of the solution of the gyroscopic control problem to orbiting objects are then presented. Author