两阶分数阶正广义分数阶连续时间线性系统的分散控制器镇定

2017 21st International Conference on System Theory, Control and Computing (ICSTCC) Pub Date : 2017-10-01 DOI:10.1109/ICSTCC.2017.8107139

Ł. Sajewski

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引用次数: 2

摘要

研究了具有不同分数阶的广义连续时间线性系统的状态空间模型。给出了不同分数阶广义连续时间线性系统正性的充分必要条件。给出了一类正广义分数阶系统的分散镇定控制器。给出了求控制器增益矩阵的方法，并通过数值算例进行了说明。

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Stabilization of positive descriptor fractional continuous-time linear system with two different fractional orders by decentralized controller

State space model of descriptor continuous-time linear system with different fractional orders is addressed. Necessary and sufficient conditions for positivity of the descriptor continuous-time linear system with different fractional orders are formulated. Decentralized controller for stabilization of the class of positive descriptor fractional systems is given. Method for finding gain matrix of the controller is presented and illustrated by a numerical example.

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2017 21st International Conference on System Theory, Control and Computing (ICSTCC)

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