一类多通道不确定时滞大系统分散鲁棒H∞控制：LMI方法

Robust decentralized H-infinity control of multi-channel uncertain time-delay systems: an LMI approach

研究多通道不确定时滞大系统的鲁棒分散H∞控制问题,假定不确定性是时不变、范数有界,且存在于系统、时滞和输出矩阵中主要针对动态输出反馈控制问题基于Lyapunov稳定性理论,通过设定Lyapunov矩阵为合适的块对角结构,采用矩阵替换的方法推导出了使多通道不确定时滞大系统可鲁棒镇定,且满足一定的扰动水平的时滞依赖充分条件即线性矩阵不等式((LMI)有可行解,并且给出了具有期望阶数的分散鲁棒控制器的设计方法数值例子说明了本文提出方法的有效性.

This paper deals with the robust decentralized H-infinity control problem for uncertain multi-channel timedelay systems. The uncertainties are assumed to be time-invariant, norm-bounded, existing in the system, time-delay and output matrices. Our interest is focused on dynamic output feedback. A sufficient condition for the uncertain multi-channel time-delay system to be robustly stabilizable with a specified disturbance attenuation level is derived based on the theorem of Lyapunov stability theory and by setting the Lyapunov matrix as block diagonal appropriately according to the desired order of the controller, which is reduced to a feasibility problem of a linear matrix inequality（LMI）. An example is given to show the efficiency of this method.