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Stabilization of slightly coupled rotor systems with allowance for the regulating system nonlinearity

机译:略微耦合的转子系统的稳定度,允许调节系统非线性

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摘要

The vibration of a system composed of a platform and rotors is analyzed. The system's 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 d3namic coupling of the rotors and the platform are determined, making it possible to use a decentralized control and simplify an analysis of the system's stability significantly. The stability of a system with a piecewise-linear characteristic of the actuator is also analyzed.
机译:分析了由平台和转子组成的系统的振动。确定系统参数,对于某些转子操作方案,其角度偏差不超过允许的角度偏差。该问题通过平衡位置的最佳稳定化方法解决,将转子的运行模式视为保证对象渐近稳定的控制动作。所需的稳定作用可从Bellman方程中找到。确定了转子和平台之间轻微动态耦合的条件,从而可以使用分散控制并显着简化系统稳定性的分析。还分析了具有致动器分段线性特征的系统的稳定性。

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