相称分数阶系统的降阶建模

2016 14th International Conference on Control, Automation, Robotics and Vision (ICARCV) Pub Date : 2016-11-01 DOI:10.1109/ICARCV.2016.7838855

Sahaj Saxena, V. Yogesh, Pushkar Prakash Arya

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引用次数: 9

摘要

提出了一种求相称分数阶系统降阶模型的新方法。首先将系统转换为整数阶(IO)，然后采用混合模型降阶(MOR)方案。在该方案中，采用时矩匹配法确定分母，采用最近发展的大爆炸-大压缩优化算法确定分子。将此公式化的降阶模型重新转换为相应形式的FO模型。给出了三个实例来验证和说明所提出方法的有效性。

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Reduced-order modeling of commensurate fractional-order systems

This paper proposes a new method of finding reduced-order model of a commensurate fractional-order (FO) system. The FO system is first converted to integer-order (IO) and then a mixed method of model-order reduction (MOR) scheme is applied. In this scheme, the denominator is obtained using time-moment matching method and the numerator is determined using the recently developed big bang-big crunch (BB-BC) optimization algorithm. This formulated reduced-order model is reconverted into its commensurate form of FO model. Three examples are presented to validate and illustrate the efficacy of the proposed approach.

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来源期刊

2016 14th International Conference on Control, Automation, Robotics and Vision (ICARCV)

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