带有离散和分布时滞的不确定广义系统的保性能控制

Guaranteed Cost Control for Uncertain Singular Systems with Discrete and Distributed Delays

研究了一类带有离散和分布时滞的不确定广义系统的保性能控制问题。基于Lyapunov稳定性理论,应用线性矩阵不等式处理方法,给出了系统鲁棒保性能状态反馈控制器存在的充分条件和设计方法。所设计的保性能控制器保证了对所有允许的不确定性,闭环系统正则、无脉冲、渐近稳定,且闭环性能指标函数具有上界。数值算例说明了所给方法的有效性。

The problem of guaranteed cost control for a class of uncertain singular systems with discrete and distributed delays is investigated. Based on Lyapunov stability theory and by using linear matrix inequality （LMI） approach, the sufficient condition for the existence and conformation approach of state feedback guaranteed cost controller are given. This guaranteed cost controller guarantees the resultant closed-loop system is regular, impulse-free and asymptotically stable for all admissible uncertainties, as well as the cost is bounded in a limitation. A numerical example shows the efficiency of the designing method.