一类不确定时滞广义系统的鲁棒非脆弱H_∞控制

Robust non-fragile H_∞ control for class of uncertain singular system with time-delay in state

研究了状态反馈控制器增益具有摄动的一类不确定时滞广义系统的鲁棒非脆弱H∞控制问题,通过求解一组线性矩阵不等式(LMI)得到了具有加法式摄动情形的非脆弱控制器。该控制器可使闭环系统是正则的、稳定的且无脉冲的,同时得出最优的H∞范数界。数值分析结果证实了该方法的有效性。

This paper deals with the design problem of robust and non-fragile H∞ state feedback controller for a class of uncertain singular system with state delay. One class of perturbations is considered, namely, additive. The state feedback non-fragile controller designs for H∞ control under the class of gain perturbations are given in terms of linear matrix inequalities. The designed controllers are such that the closed-loop system is regular, stable and impulse-free and offers optimitive H∞ norm bound. An illustrative example shows the effectiveness of the proposed design method.