复合摄动系统的H_∞鲁棒性能设计

H_∞ Robust Performance Design for Systems with Mixed Uncertainty

本文对具有实参数摄动和未建模动态不确定性的复合摄动问题的鲁棒性能设计进行了深入研究，首次提出利用H∞控制理论中的混合灵敏度方法处理某些复合摄动问题的鲁棒性能设计．其思路是：首先将复合摄动问题的鲁棒性能设计转化为参数不确定性系统的鲁棒性能设计问题；然后将这种参数不确定性问题变换成标准H∞控制问题结构；最后利用“DGKF”或状态反馈的方法获得问题的解．

The problem of robust perfomance design for linear systems with unmodelled 'dynamics and real parametric uncertainty,i. e.,mixed uncertainty,is deeply investigated in this paper. It is first suggested thatthis problem can be solved by Hoe mixed sensitivity method. The main idea is as follows:Firstly,the originalproblem is transformed into the problem of robust performance design for the parameter uncertain system.Then,the resulting problem is reduced to the standard H∞ control problem. At last,this standard problem canbe solved by the 'DGKF' or Hoe state-feedback method.