一种新的饱和系统吸引域估计方法及应用

摘要

A new method for estimating the domain of attraction(DoA) for saturated systems was presented .Compared with the existing results , the advantage of the new result is mainly twofold : ① It does not include any product by the system matrix and the Lyapunov matrix ; ② It does not result in heavy computing cost . It will be seen that these features are essentially important in system analysis . For comparison , the new result was extended to uncertain saturated systems ,which shows that it leads to less conservativeness .Numerical examples verify the correctness of the conclusion .%提出了一种估计吸引域的新方法。与已有成果相比，该方法的优势主要体现在以下两个方面：①本文结果中不含有任何系统动态矩阵与 Lyapunov 矩阵的乘积形式；②所得结果不会引入繁重的计算代价。因此，该结果特别适用于系统分析。为了体现该方法获得结果的优势，将结果推广到不确定饱和系统。结果显示，新的方法对不确定饱和系统吸引域的估计具有较少的保守性。相应的数值仿真验证了结论的正确性。