Abstract
This paper is concerned with the control problem of nonautonomous programmed attitude motions around the mass centre of a gyrostat with fluid. The goal of this research is to investigate how to solve the problem of stabilization in large the specified programmed attitude motion of gyrostat. Within the framework of this note, the model of single-rotor dynamically symmetrical gyrostat which includes a spherical cavity filled with highly viscous fluid is considered. The program control forces and the stabilizing control forces acted upon the gyrostat are received. The main research methods proposed in this article are the method of Lyapunov functions and the method of limit equations and limit systems. Numerical simulation results illustrate and verify that stabilizing in large programmed attitude motions problem of a gyrostat with viscous fluid is solved.
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