【摘要】 时滞是网络控制系统存在的一个主要问题。针对一类同时含有多状态时滞和输入时滞的线性不确定连续时间系统,研究了其时滞相关稳定性问题。所考虑的系统不仅含有未建模动态,而且有外部扰动。采用Lyapunov-Krasovskii泛函和耗散性理论,给出了保证闭环系统渐近稳定的无记忆状态反馈控制律存在的充分条件,该条件同时保证闭环系统满足γ-次优H∞性能,为控制器的设计提供了理论依据。更多还原

【Abstract】 Time-delay is one of the main problems in net-worked control systems.This paper considers the delay-dependent stability of a class of linear uncertain continuous systems with multi-delay.There exist both unmodeled dynamics and external disturbance in the system considered.By adopting Lyapunov-Krasovskii functional and dissi-pative theory,sufficient conditions are given to ensure the existence of a memoryless state feedback control law,which guarantees the stability of the closed-loop system.The conditions also ensure that the closed-loop system satis-fies γ-suboptimal H∞ performance and hence give a criterion for control design.更多还原