带有状态滞后的连续广义系统的鲁棒正实控制

摘要

对带有状态滞后的连续广义系统的严格正实性进行了分析,得出了这类系统渐近稳定且严格正实的充分条件,该充分条件与滞后无关.进一步地,对这类系统带有不确定性和控制量的情况进行了研究.提出了一种基于线性状态反馈控制的鲁棒正实控制器设计方法,使得控制器设计可以通过求解线性矩阵不等式方便地加以解决,且保证了闭环系统的严格正实性.最后,通过实例分析说明所提出的鲁棒正实控制器设计方法是可行的、有效的.%The strictly positive real property is analyzed for the continuous generalized system with state-delay. The sufficient condition that this type of system is asymptotically stable and strictly positive real is deduced, and it is independent of state-delay. Furthermore, the system with uncertainties and control variable is studied. A design method of robust positive real controller is proposed for the system according to the linear state feedback control law. The controller can be easily designed by solving the linear matrix inequality ( LMI) , and the strictly positive real property of the close-loop system is also ensured. An example is analyzed to show that the proposed design method of robust positive real controller is feasible and effective.