严格正实广义系统的鲁棒性分析与输出反馈控制

Robustness analysis and output feedback control for strictly positive real descriptor systems

讨论了一类广义系统的鲁棒严格正实分析与综合问题,其中各个不确定参数矩阵具有线性分式形式.基于线性矩阵不等式,给出了这类系统对所有容许不确定性扩展严格正实的条件,并设计动态输出反馈控制器,使闭环系统容许且扩展严格正实.结果表明,这一问题可以转化为确定广义系统的正实控制问题.

The positive real analysis and synthesis problem for a class of uncertain singular systems are considered.The uncertainties are expressed in a linear fractional form.A linear matrix inequality（LMI）-based analysis condition under which the uncertain singular system is extended strictly positive real for all admissible uncertainties is characterized.A dynamic output-feedback controller is designed such that the resulting colsed-loop system is admissible and extended strictly positive real for all admissible uncertainties.It has been established that the problems above can be cast into a class of extended strictly positive real control problems with scaling parameters without uncertainties.