中立型变时滞系统的鲁棒稳定性  

New robust stability criterion for uncertain neutral systems with time-varying delay

作　　者：钱伟[1,2] 孙优贤[2] 

机构地区：[1]河南理工大学计算机科学与技术学院,河南焦作454000 [2]浙江大学工业控制技术国家重点实验室,浙江杭州310027

出　　处：《控制理论与应用》2010年第3期358-362,共5页Control Theory & Applications

基　　金：国家"863"高技术研究发展计划资助项目(2007AA11Z216);国家自然科学基金资助项目(50708094)

摘　　要：考虑不确定中立型变时滞系统的鲁棒稳定性问题.首先,引入新的变量来代替系统的不确定性;然后,通过构造一般形式的Lyapunov-Krasovskii泛函、使用积分不等式并引入自由矩阵,得到了基于线性矩阵不等式的系统稳定性判据.该结论与中立型时滞,离散时滞及其导数均相关,具有较小的保守性.最后,通过仿真算例说明了所得到的结论在保守性上优于现存的结果以及中立型时滞,离散时滞及其导数三者之间的关系.The robust stability of neutral systems with time-varying discrete delay and norm-bounded uncertainties is studied. Firstly, a new variable is introduced to replace the uncertainties of the systems. Then, by constructing a new Lyapunov-Krasovskii functional, using integral inequality and introducing free weighting matrices, we derive a new asymp-totic stability criterion in terms of the linear matrix inequality（LMI）. The obtained criterion takes into account the neutral delay, discrete delay and the derivative of the discrete delay. This result is less conservative than some existing results. Fi-nally, numerical examples demonstrate the improvements over existing results, and show the relationship among the neutral delay, discrete delay and the derivative of discrete delay.

关 键 词：中立型系统 变时滞 鲁棒稳定性 线性矩阵不等式 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]