具有结构不确定性的输出反馈线性系统的鲁棒稳定性分析

The Analysis of Stability Robustness for Output Feedback Linear Systems with Structured Uncertainty

基于向量的幂变换方法，对具有结构不确定性的输出反馈线性系统的鲁棒稳定性问题作了分析。单参数摄动时给出了闭环系统鲁棒稳定的充要条件，多参数摄动时得到了保证系统鲁棒稳定的充分条件，导出了闭环系统鲁棒稳定区域的一种代数表达形式。最后给出了实例。

ased on a power transformation, the stability robustness of output feedback linear systems with structured uncertainty has been analyzed. A necessary and sufficient condition on the stability robustness for uncertain systems with a single parameter is presented and some sufficient conditions are given for uncertain systems with multiple parameters, which are approximated to their practical robust stable bound. And the algebriac expressions on the robust stable region have been given. At last, numerical results are given to compare the new bounds with that obtained previously.