针对不确定多通道奇异时滞大系统,研究其分散鲁棒H∞控制问题.假定不确定性是时不变、范数有界.基于奇异系统Lyapunov稳定性理论,通过设定Lyapunov—Krasovskii矩阵为合适的块对角结构,推导出了使不确定多通道奇异时滞大系统可鲁棒镇定,且满足一定的扰动水平的充分条件即一组线性矩阵不等式(LMIs)有可行解.给出了具有期望阶数的分散输出反馈H∞控制器的设计方法.
A robust decentralized H-infinity control is studied for uncertain multi-channel descriptor systems with timedelay. The uncertainties are assumed to be time-invariant, norm-bounded. A sufficient condition for the uncertain multichannel descriptor time-delay system to be robustly stabilizable with a specified disturbance attenuation level is derived based on the theorem of Lyapunov stability theory in which the Lyapunov-Krasovskii matrix is set to a block diagonal form with compatible order to the controller. This condition is in terms of linear matrix inequalities(LMIs) with a feasilSle solution. The design of the decentralized H-infinity control with desired order and output feedback is given.