一类分布时滞不确定系统的鲁棒非脆弱保性能控制器设计  

Robust and non-fragile guaranteed cost controller design for uncertain systems with distributed delay

作　　者：李涛[1] 张合新[1] 孟飞[1] 

机构地区：[1]第二炮兵工程学院自动化系,西安710025

出　　处：《控制与决策》2011年第10期1520-1524,1529,共6页Control and Decision

摘　　要：研究了一类具有分布时滞的线性不确定系统的鲁棒非脆弱保性能控制问题.考虑分布时滞系统和状态反馈控制器均具有时变不确定性,通过构造新的含三重积分项的Lyapunov-Krasovskii泛函,并结合不等式推导技巧,以线性矩阵不等式形式给出了系统鲁棒非脆弱保性能控制器存在的充分条件.该方法保证了给定的二次性能函数不超过一个确定的界并且是分布时滞相关的.仿真实例表明了该方法的可行性和有效性.The robust and non-fragile guaranteed cost control of uncertain linear systems with distributed delay is investigated.Both the distributed-delay system and the state feedback controller are assumed to have time-varying uncertainties.A sufficient condition in terms of linear matrix inequality is established for the existing of the robust non-fragile guaranteed cost controller by constructing new Lyapunov-Krasovskii functional with triple-integral term and using inequality technique.The proposed approach can keep the quadratic performance function below a supper bound and delay-dependent.Simulation examples show the effectiveness and feasibility of the method.

关 键 词：LYAPUNOV-KRASOVSKII泛函 分布时滞 非脆弱 保性能控制 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]