On enlarging the basin of attraction for linear systems under saturated linear feedback
On enlarging the basin of attraction for linear systems under saturated linear feedback
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DOI：
10.1109/acc.2000.879504
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发表时间：
2000-05
期刊：
影响因子：
--
通讯作者：
T. Hu;Zongli Lin
中科院分区：
文献类型：
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作者：
T. Hu;Zongli Lin
研究了饱和线性反馈下线性系统吸引域的扩大问题。基于LMI的方法来解决这个问题。对于离散时间系统，提升技术增强了这种方法，从而进一步扩大了吸引域。固有的大不变集（因此，大盆地的吸引力）的低收敛速度是防止由一系列不变的椭球嵌套在大的一个得到的建设。
We consider the problem of enlarging the basin of attraction for a linear system under saturated linear feedback. An LMI based approach to this problem is developed. For discrete-time system, this approach is enhanced by the lifting technique, which leads to further enlargement of the basin of attraction. The low convergence rate inherent with the large invariant set (hence, the large basin of attraction) is prevented by the construction of a sequence of invariant ellipsoids nested within the large one obtained.