奇异摄动法在复合控制系统设计中的应用

Application of singular perturbation analysis in dual control system design

摘要:

根据大气层内拦截弹气动力与直接力( RCS)复合执行机构在时间尺度上的差异，本文利用奇异摄 动法将控制系统分为快、慢两个环节，设计RCS的线性切换面和气动舵的反馈控制律．采用Raytheon（雷神） 的四环控制结构和线性二次型调节器保证系统的鲁棒性和时域特性．利用本文设计的自动驾驶仪跟踪一稳 态加速指令，仿真结果表明，它不但能够更加快速、稳定地跟踪控制指令，而且能够实现控制指令在执行机构 之间的最优配置，有效发挥它们各自的特性．RCS的初始值较大，用于提高系统的响应速度，而当系统稳定时 其值则趋向于零，以减少燃料消耗．与此同时，气动尾舵主要起到稳定弹体的作用

Abstract:

Based on the difference in time scale between the aerodynamic fins and reaction jets, the singular perturbation analysis is employed to split the dual control system of the interceptor into slow and fast subsys- tems. Then, the robust Raytheon four-loop topology and linear quadratic regulator are used to design the fin control law and the reaction jet switching surface. Finally, the proposed autopilot is used to follow a steady- state acceleration command. It is shown that not only the acceleration command can be followed steadily but also the control effort can be distributed among the actuators effectively. The response in the first phase is im- proved when the initial value of RCS is large and the RCS trends to zero when the system is steady. Simultane- ously, the aerodynamic surfaces are used to trim the airframe