一类不确定中立时滞系统的时滞相关鲁棒镇定控制器设计

研究了一类线性参数不确定中立时滞系统的鲁棒镇定问题。首先对标称系统建立了一个时滞依赖型稳定准则；然后，基于LMI正定解的存在性，给出了此类中立系统通过无记忆状态反馈控制器鲁棒可镇定的充分条件及鲁棒控制器设计方案；最后的数值例子说明了所得结论是有效的。

Design of delay-related Robust stability controller concerning an indefinite neutral delay system

This paper is concerned with Robust stabilization problem for linear neutral delay systems subject to parameter uncertainty. We develop methods of robust stabilization which is dependent on the size of the delay and is based on the solution of linear matrix inequalities. First, we develop a delay-dependent stability criterion for the nominal system. Then, we provide a sufficient condition for the existence of the desired controller for robust stabilization and a scheme of robust controller to the uncertainty systems. Finally, a numerical example is presented to demonstrate the validity and effectiveness of the proposed approach.