线性离散时滞系统的输出反馈耗散控制

考虑线性离散时滞系统的二次型耗散控制问题,设计动态输出反馈使闭环系统渐近稳定且严格二次型耗散.先将系统严格二次型耗散性转化为线性矩阵不等式的可解性,得到了系统渐近稳定且严格二次型耗散的条件.然后讨论输出反馈耗散控制问题,给出了控制器的存在条件,总结出了控制器的综合方法、步骤.所得结果可为离散时滞系统的无源控制和H∞控制提供统一框架,也为离散时滞系统的分析和设计提供了一种更灵活、保守性更小的方法.

Output feedback dissipative control for linear discrete-time systems with time-delay

The quadratic dissipative control for linear discrete-time systems with time-delay is considered.The objective is to design a dynamic output feedback controller achieving asymptotic stability and strict quadratic dissipativeness.First,it is shown that the strict quadratic dissipativeness can be reduced to the solvability of LMIs and sufficient conditions are obtained for the system to be asymptotically stable and strictly quadratic dissipative,and then the output feedback dissipative control problem is addressed.Conditions for the existence of the out-put feedback controller are derived and steps for designing the controller are given.The results obtained provide not only a unified framework for H-infinity control and passive control,but also a more flexible and less conservative design method for linear discrete-time systems with time-delay.