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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。
The nonlinear H∞ control theory and its application in nonlinear rotor dynamical system are studied. For affine nonlinear dynamical systems, the state feedback controller is derived from the solution of the Hamiliton-Jacobi equation. For a controlled squeeze film damper rotor system, a nonlinear H∞ controller is designed. The simulation results show that the nonlinear H∞ controller can restrain the unbalance response of the rotor system.