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中文摘要：
为寻找一个能包含所有可能初始状态轨迹且使闭环系统稳定的最大椭球域来近似描述系统的吸引域,本文借助两个松弛矩阵,给出了保证椭球集是吸引域内不变集的充分条件.并结合LM I优化方法,获得了最大椭球集.最后通过一个算例表明了本文提出的吸引域估计方法具有较小的保守性.
英文摘要：
The problem of attraction domain estimation for discrete systems subject to actuator saturation was investigated. To approximate the attraction domain more precisely, a largest ellipsoid set which contains state trajectories derived from all initial states and satisfies the closed -loop system stability was obtained. By introducing two slack matrices, the sufficient condition that guarantees the ellipsoid set to be invariable in attraction domain was presented. The greatest ellipsoid domain of attraction was obtained based on LMI. A numerical example demonstrates that estimation of the domain of attraction by above proposed methods was shown to be less conservative.
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