STABILIZATION OF SLIGHTLY COUPLED ROTOR SYSTEMS WITH ALLOWANCE FOR THE REGULATING SYSTEM NONLINEARITY

The vibration of a system composed of a platform and rotors is analyzed. The systemʹs parameters for which its angular deviations do not exceed the admissible ones for certain regimes of the rotors operation, are determined. The problem is solved by the methods of the optimal stabilization of equilibrium positions, viewing the rotors operation modes as control actions which guarantee asymptotic stability of the object. The required stabilizing actions are found from the Bellman equation. The conditions for a slight dynamic coupling of the rotors and the platform are determined, making it possible to use a decentralized control and simplify an analysis of the systemʹs stability significantly. The stability of a system with a piecewise-linear characteristic of the actuator is also analyzed.