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对状态空间表达式所有矩阵均含有参数不确定性的鲁棒H∞控制问题,基于干扰抑制下的二次稳定理论,建立了将其转化为H∞控制问题的等价关系,提出了一种线性动态输出反馈控制器的设计方法,该控制器在允许的参数不确定范围内使被控对象稳定且使干扰抑制在H∞范数的一定值内。最后在某型双转子涡喷发动机气动热力学非线性模型上对所述算法进行了仿真验证。
For the robust H∞ control problem with parameter uncertainty in all matrices of state space expression, based on the quadratic stability theory under interference suppression, an equivalence relation is established to convert it into H∞ control problem. The design method of linear dynamic output feedback controller is to stabilize the controlled object and suppress the interference within a certain value of H∞ norm within the allowable parameter uncertainty. Finally, the algorithm is validated by the aerodynamic thermodynamic nonlinear model of a twin-rotor turbojet engine.