Stabilisation control for planar bilinear systems by using switching law to minimise return ratio

Stabilisation control for planar bilinear systems by using switching law to minimise return ratio
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DOI:
10.1049/iet-cta.2014.1217
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发表时间:
2015-08
影响因子:
2.6
通讯作者:
S. Cong;Jiaqi Chen
S. Cong;Jiaqi Chen
中科院分区:
计算机科学4区
文献类型:
--
作者:
S. Cong;Jiaqi Chen

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采用分段常数控制,将平面双线性系统嵌入到开关控制模型中。在用回报比解释开关稳定机制的基础上,他们提出了一种系统的方法来解决从最小回报比的开关律出发的分段恒定控制问题。稳定控制的存在和构造依赖于系统矩阵间相互关系的不变量。
By using piecewise constant control, the authors embed planar bilinear system into switching control model. On the basis of interpreting switching stabilisation mechanism in terms of return ratio, they develop a systematic approach to solve the piecewise constant control from the switching law that minimises return ratio. The existence and construction of stabilisation control in a strong way rely on an invariant that characterises the interrelation of the system matrices.