不确定线性时滞系统的一种混杂状态反馈保成本控制及优化设计方法

A Method of hybrid state-feedback guaranteed cost control and optimization design for uncertain linear time-delay system

本文研究一类不确定线性时滞系统的混杂状态反馈保成本控制及优化设计问题.假设存在有限个备选的控制增益已知的控制器,并且其中任何单一的状态反馈控制器都不能镇定系统,基于单Lyapunov函数的方法,给出了混杂状态反馈保成本控制的充分条件及优化设计方案.当备选的控制增益未知时,利用多Lyapunov函数法,同样给出混杂状态反馈保成本控制的充分条件及相应的优化设计方法.最后用仿真验证了文中方法的有效性.

This paper focuses on the hybrid state-feedback guaranteed cost control and optimization design problem for a class of uncertain linear time-delay systems. Suppose that there exist finite candidate controllers with known controller gain matrices and none of the controllers can make the system satisfy guaranteed cost control,based on singleLyapunov function method we obtained the sufficient conditions and optimization scheme for the hybrid state-feedback guaranteed cost control. When the controller gain matrices are unknown, by means of multiple function technique, a sufficient condition and optimization scheme are also presented for hybrid state-feedback guaranteed cost control. The simulation demonstrates the effectiveness of the method proposed in this paper.