转子动力系统的非线性H^∞控制

Nonlinear H ∞ Control of Rotor Dynamic System

研究了非线性Ｈ∞控制理论及其在非线性转子动力系统中的应用。对于仿射型非线性转子动力系统，由Ｈａｍｉｌｉｔｏｎ－Ｊａｃｏｂｉ方程的解求得状态反馈控制器。对于可控挤压轴膜阻尼器转子系统，设计了非线性Ｈ∞控制器。仿真结果表明，非线性Ｈ∞控制器能较好地抑制转子系统的不平衡响应。

This paper presents the nonlinear H ∞ control theory and its application for nonlinear rotor systems. The state feedback control law can be carried out by solving algebra Riccati equation for affine nonlinear rotor systems. For rotor CSFDB system, a nonlinear H ∞ state feedback controller has been designed. Simulation shows that the nonlinear H ∞ controller can rejected the imbalance response and has more advantages than the linear H ∞ controller.