基于二次Lagrange插值模型的控制律设计及仿真

Control Law Design and Simulation Based on Quadratic Lagrange Interpolation Model

采用增益调参方法对飞机自动驾驶仪的纵向通道进行控制律设计。建立了二次Lagrange插值模型,研究了利用v-间隔度量方法选择工作点并设计了评价准则、以及增益调参设计的方法和原则,并采用此方法对某型号飞机进行了控制律设计和仿真,以评价该插值算法对自动驾驶仪性能和稳定性的影响。仿真结果表明,纵向自动驾驶仪的各个功能模式获得了良好的动态响应特性,满足了各项指标的要求。

The method of gain schedule was used for the control law design of longitudinal channel of aircraft autopilot. The quadratic Lagrange interpolation mode was built. The method of model selection using v -interval measurement, and the principle for gain schedule design were studied. The method was applied to designing the control laws and simulating on the example of airplane to evaluate the effect of Interpolation method on Autopilot performance and stability. The results of numerical simulation by the obtained control law indicate that each function model of longitudinal autopilot achieves the characteristics of well-behaved dynamic response, and satisfies the requirements of various indexes.