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

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.