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分数阶比例积分控制器在时滞过程中的分析设计。

Analytical design of fractional-order proportional-integral controllers for time-delay processes.

机构信息

Faculty of Mechanical Engineering, University of Technical Education of Ho Chi Minh City, Vietnam.

出版信息

ISA Trans. 2013 Sep;52(5):583-91. doi: 10.1016/j.isatra.2013.06.003. Epub 2013 Jul 13.

DOI:10.1016/j.isatra.2013.06.003
PMID:23856598
Abstract

A new design method of fractional-order proportional-integral controllers is proposed based on fractional calculus and Bode's ideal transfer function for a first-order-plus-dead-time process model. It can be extended to be applied to various dynamic models. Tuning rules were analytically derived to cope with both set-point tracking and disturbance rejection problems. Simulations of a broad range of processes are reported, with each simulated controller being tuned to have a similar degree of robustness in terms of resonant peak to other reported controllers. The proposed controller consistently showed improved performance over other similar controllers and established integer PI controllers.

摘要

基于分数阶微积分和 Bode 理想传递函数,针对一阶时滞过程模型,提出了一种分数阶比例积分控制器的新设计方法。它可以扩展到各种动态模型。分析推导出了整定规则,以应对设定值跟踪和干扰抑制问题。报告了广泛过程的仿真,每个模拟控制器的调整使其在谐振峰值方面与其他报告的控制器具有相似的鲁棒性程度。所提出的控制器始终表现出优于其他类似控制器和整数 PI 控制器的改进性能。

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