为提高雷达稳定伺服系统的动态性能和抗干扰能力,基于线性矩阵不等式(LMI)设计了速度环动态输出反馈H_∞控制器。对于不同幅值和频率的信号开展了阶跃响应和抗扰性能的Matlab仿真实验。结果表明,与传统PID控制器相比,采用这种输出反馈H_∞控制器的伺服系统速度环阶跃响应动态性能优越;对不同频率的载体扰动信号情况下,隔离度均显著提高。提出的输出反馈H_∞控制器阶次低,不存在输出饱和问题,便于物理实现。

To improve dynamic and disturbance rejecting ability of radar stable servo system, output feedback H_∞ controller of speed loop was presented based on LMI. For signals with different amplitude and frequency, simulations of the closed loop in Matlab were done, which contained both step response and disturbance tests. Simulation results indicate that the servo system with LMI controller performs better in dynamic response with shorter response time. The new designed system has better rejection rate than the system with traditional PID controller for variable frequency disturbance signals. Also, the LMI controller advanced here not only has no shortcoming like saturation of controlled output but also has some advantages such as low order and easy to realize.