时滞依赖型区间时滞系统非脆弱H_∞控制

Delay-Dependent Non-Fragile H_∞ Control for Interval Systems with State and Input Delays

针对一类状态和控制输入矩阵均为区间矩阵的不确定时滞系统,其中状态和控制输入同时具有未知但有上界的时间滞后,基于Lyapunov稳定性理论,利用线性矩阵不等式(LM I)方法,讨论了该类时滞系统的时滞依赖型非脆弱H∞状态反馈控制器设计问题。在区间不确定性和控制器执行机构扰动均满足增益有界条件下,得到了该类时滞系统的满足H∞性能的一个充分条件。通过求解一个线性矩阵不等式(LM Is)组,即可获得鲁棒H∞控制器。最后对某型飞机作机动飞行仿真,仿真结果表明该鲁棒控制器设计方法是有效的。

Based on Lyapunov stability theory and by means of Linear Matrix Inequality （LMI）, delaydependent state feedback non-fragile H∞ controller design is considered for a class of uncertain time-delay system with state and input matrix being interval, which has unknown time delays that have upper bounds in both state and input. On condition that the interval uncertainty and controller execution are gain bounded, a sufficient condition that satisfies the H∞ performance is presented. By solving Linear Matrix Inequalities （LMIs）, the robust H∞ controller can be easily obtained. Finally, a flight simulation was carried out. The simulation results suggested that the design method is useful and effective.