奇异时滞系统对时滞参数的自适应控制

针对一类状态时滞奇异系统，研究状态反馈控制器的设计问题。基于Lyapunov稳定性理论和线性矩阵不等式（LMI）工具，当时滞常数精确已知时，设计带有记忆的状态反馈控制器，使得相应的闭环系统渐近稳定；当时滞常数不能精确已知时，通过求解相应的线性矩阵不等式，得到满足设计要求的对时滞参数的自适应控制器，使得时滞系统镇定。最后，仿真实例表明此方法的有效性。

Adaptive Control for Delay Parameters in Singular Time-delay Systems

A state feedback controller is designed for singular systems with time - delay. Based on Lyapunov - Krasovskii stability theory and linear matrix inequalities, designing state feedback controller with memory to make corresponding closed - loop system stable when constant of time - delay is known accurately; By solving corresponding LMIS, an adaptive controller is designed to satisfy design requirements and make system with time - delay stabilization when constant of time - delay isn＇ t known accurately. Finally, a numerical example is given to illustrate the effectiveness of the proposed method.