多非线性区间Lurie系统的鲁棒绝对稳定性

Robust Absolute Stability of Interval Lurie System with Multiple Non Linearities

考虑了关于模型变化的具有多非线性的区间 L urie控制系统的鲁棒绝对稳定性 .用 Lyapunov函数方法和区间分析技术 ,得到了区间 L urie系统鲁棒绝对稳定的一些充分条件 ,这些条件减少了绝对稳定鲁棒检测的保守性 .这些鲁棒分析方法是基于区间矩阵的鲁棒稳定分析 .

The robust absolute stability of interval Lurie control system with multiple nonlinearities is considered with respect to model variation.Based on the method of Lyapunov function and interval analysis technique,some sufficient conditions of robust absolute stability for the interval Lurie system are obtained,which reduces the conservatism in robustness tests of absolute stability.The proposed approaches for robustness analysis are based on the stability analysis of interval matrices.The new robustness results are illustrated by two simple numerical examples.