利用Lyapunov-Krasovskii稳定性定理和线性不等式方法,研究了一类线性中立时滞系统的无记忆与带记忆相结合的静态输出反馈H∞控制器的设计问题.基于LMI正定解的存在性,首先对标称系统建立了一个时滞独立型渐近稳定性准则,然后提供了一个使系统达到渐近稳定且满足给定H∞干扰的抑制上界充分条件,最后给出满足设计要求的静态输出反馈控制器存在的充分条件及设计方案.
The H∞ output feedback controller design of linear neutral delay systems with memory is studied using Lyapunov-Krasovskii stability theory and linear matrix inequality approach.Based on feasibility positive definite solution to the linear matrix inequalities,they first develop a delay-dependent stability criterion,then,a sufficient condition which makes the system asymptotically stable and guarantees the given H∞ bound constraint on the disturbance attenuation,at last,they present a scheme of to design a static output feedback H∞ controller via compound memory and memoryless feedback.