广义不确定线性系统的鲁棒H_∞控制分析

Robust H_∞ Control Analysis for Uncertain Linear Descriptor Systems

本文研究一类具有范数有界参数不确定性广义线性系统的鲁棒 H∞ 控制问题 .基于线性矩阵不等式 ,给出广义不确定线性系统满足 H∞ -范数性能指标和正则、稳定且无脉冲模的一个充要条件 .

This paper considers the robust H ∞ control problem of uncertain linear descriptor sysytems with time varying norm bounded parameter uncertainty.A necessary and sufficient condition for an uncertain linear descriptor system to be regular,stable and impulse free and to satisfy and H ∞ norm condition with a prescribed level is given in terms of linear matrix inequalites.