振动系统复合摄动的鲁棒H^∞控制李普

应用H^∞控制原理，研究了具有复合摄动的振动响应的主动控制系统对外扰响应衰减的鲁棒控制设计问题，提出了设计鲁棒控制器的方法，其思路是：先选取鲁棒加权函，虚拟评价函数，将复合摄动问题的鲁棒性能设计转化为参数不确定系统的鲁棒性能设计，然后将参数不确定问题转化为标准H^∞控制问题求解，数值仿真表明，本文的方法对复合摄动具有 的鲁棒性，同时能有效抑制外扰。

Robust H

Based on the H∞ control theory，the robust problem of active control system with mixed uncertainty is investigated and the design method of robust controller is presented．The main idea is as follows：Through the selection of robust weighting function，the original problem is transformed into the problem of robust performance design of the system with parametrical uncertainty and the parametrical uncertainy problem is reduced to a standard H∞ control problem．Simulation results show that the method has strong robustness to mixed uncertainty and external disturbance is suppressed effectively．