超声速导弹的光滑二阶滑模控制器设计

Design of Smooth Second-order Sliding Mode Controller for Supersonic Missile

建立了带有气动系数不确定量和外界干扰的超声速导弹的运动模型。采用输出重定义技术克服了导弹过载输出的非最小相位特性,利用容易测量的过载和角速度相组合重新定义了新输出量。为了削弱滑模控制的颤振影响,同时又保持滑模控制的强鲁棒性,采用光滑二阶滑模控制方法设计了导弹过载控制系统中的控制器。设计了二阶滑模观测器对汇总不确定量进行有效估计。为了检验所设计的观测器和控制器的控制效果,仿真分析中对比了光滑二阶滑模控制器和传统滑模控制器的仿真结果。仿真结果表明:光滑二阶滑模控制器能够有效地削弱颤振影响,使导弹过载输出快速准确地跟踪上过载指令信号。

The moving model of supersonic missile with aerodynamic coefficients uncertainties and external disturbance is established. The output-redefinition technique is adopted to overcome the nonminimum phase characteristics of missile over-load output. The new output variable is redefined by combining overload and angular velocity for they are easily measured. The controller of missile overload control system is designed by smooth second-order sliding mode control technique, in order to weaken chattering effect of sliding mode control and to keep its strong robustness. Second order sliding mode observer is designed to estimate lumped uncertainty. In order to test control effect of the designed observer and controller, the simulation results of smooth second-order sliding mode controller are compared with those of conventional sliding mode controller in sim-ulation analysis. The simulation results show that smooth second-order sliding mode controller can weaken chattering effect ef-fectively and make the missile？s overload output to track its command fast and accurately.