不确定线性时变时滞系统的非脆弱鲁棒H_∞控制器设计  

Non-fragile robust H_∞ controller design for uncertain linear time-varying delay systems

作　　者：屈百达 徐培培 

机构地区：[1]江南大学轻工过程先进控制教育部重点实验室,江苏无锡214122

出　　处：《计算机工程与应用》2015年第10期42-46,64,共6页Computer Engineering and Applications

基　　金：高等学校学科创新引智计划资助(No.B12018);江苏高校优势学科建设工程资助项目;江苏省产学研联合创新资金项目(No:120767)

摘　　要：基于Lyapunov稳定性理论和线性矩阵不等式方法,研究一类时滞区间已知且下限不为零的不确定时变时滞系统的非脆弱鲁棒H∞控制器设计问题,通过构造合理的Lyapunov-Krasovskii函数,结合一种新的积分不等式的方法,得到该类时滞系统渐近稳定且满足H∞性能指标的时滞相关充分条件,并基于改进的锥补线性化迭代算法(Improved Cone Complementary Linearization,ICCL)给出一种具有低保守型的非脆弱鲁棒H∞状态反馈控制器的设计方法,仿真结果说明了该控制器设计方法的有效性。For uncertain time-varying linear delay systems with interval which is known and the lower limit is not zero, the problem of non-fragile robust H￥ controller design is studied, based on Lyapunov stability theory and linear matrix inequality. By constructing an appropriate type of Lyapunov-Krasovskii function, combining with a new method of inte-gral inequality, to get the time delay system is asymptotically stable and satisfy the H￥ performance index of delay-de-pendent sufficient conditions. Then a class of non-fragile robust H￥ state feedback controller of low conservative control-lers based on an Improved Cone Complementary Linearization（ICCL）algorithm can be designed. A numerical example is given to illustrate the effectiveness of the design approach.

关 键 词：不确定时变时滞系统 非脆弱 鲁棒H∞控制 积分不等式 线性矩阵不等式 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]