参考模型前馈2-DOF指令跟踪H_∞控制器设计研究

Research on 2-DOF H_∞ Controller Design with Reference Model Feedforward for Command Tracking System

结合二自由度控制和参考模型控制系统设计原理,提出了一种参考模型前馈控制的二自由度控制系统设计结构。通过推导给出了标准H∞控制广义被控对象的状态空间方程实现形式,并运用该理论研究了导弹俯仰通道指令跟踪系统鲁棒H∞控制器设计问题。文中采用LMI凸优化进行二自由度鲁棒H∞控制器设计,简化了传统方法设计控制器的求解过程。仿真结果表明,应用该方法设计的闭环系统具有良好的快速跟踪特性,说明了该方法的正确性和有效性。

A strategy of two degrees of freedom （2-DOF） control combined with the method of reference model feedforward, which was applied to study on the design of command tracking controller for missile＇s longitudinal control system, was presented based on linear matrix inequality （LMI） convex optimization approach. 2-DOF controller can be easily obtained based on LMI with this method. The controller enables the close-looped system to satisfy desired performance criterion and overcomes the blindness and complexity of conventional 2-DOF control. Besides, its simple design structure is easy for realization. Stimulation results show that the control system designed using this algorithm has remarkably better performance and the merits of rapid response speed, minor model tracking error and better characteristic.