中文摘要：

针对控制器具有加法摄动和乘法摄动的一类不确定时延网络控制系统，研究非脆弱H∞保成本控制问题。考虑不大于一个采样周期的不确定时延和有限能量的外部扰动，基于Lyapunov理论和线性矩阵不等式方法，对于所有容许的不确定性使得闭环系统渐近稳定，得到了该系统非脆弱H∞保成本控制律存在的充分条件。利用这几个低保守性的充分条件容易检验一类不确定时延网络控制系统的渐近稳定性，并且满足H∞成本指标上界。最后用仿真例子表明所给出的结果是有效的。

英文摘要：

This paper focuses on the problem of non-fragile H∞ guaranteed cost control for a class of networked control systems with uncertain time delay. The controller gain to be designed is assumed to have additive and multiplicative gain variations. It is supposed that the time-delay is uncertain and not more than one sampling period and the external disturbance is limited. Based on Lyapunov theory and linear matrix inequality formulation, the sufficient condition of the existence of non-fragile H∞ guaranteed cost control law is derived to make the corresponding closed-loop system asymptotically stable for all admissible uncertainties. With these less conservative conditions it is easy to check the asymptotic stability and the upper bound of H∞ cost index can be satisfied. Finally, a simulation example illustrates the effectiveness of the proposed approach.