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[1]邓立为,宋申民,庞慧.控制系统的分数阶建模及分数阶PIλ Dμ 控制器设计[J].电机与控制学报,2014,18(03):85-92.
 DENG Li-wei,SONG Shen-min,PANG Hui.Fractional order model for control system and design offractional order PIλ Dμ controller[J].,2014,18(03):85-92.
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控制系统的分数阶建模及分数阶PIλ Dμ 控制器设计(PDF)
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《电机与控制学报》[ISSN:1007-449X/CN:23-1 408/TM]

卷:
18
期数:
2014年03
页码:
85-92
栏目:
出版日期:
2014-03-15

文章信息/Info

Title:
Fractional order model for control system and design of
fractional order PIλ Dμ controller
作者:
邓立为 宋申民 庞慧
哈尔滨工业大学控制理论与制导技术研究中心,黑龙江哈尔滨150001
Author(s):
DENG Li-wei SONG Shen-min PANG Hui
Center for Control Theory and Guidance Technology,Harbin Institute of Technology,Harbin 150001,China
关键词:
分数阶微积分 分数阶PIλDμ 控制器 系统建模 参数整定 性能指标
Keywords:
fractional calculus fractional order PIλDμcontroller system modeling parameter tuningperformance indicators
分类号:
-
DOI:
-
文献标志码:
A
摘要:
在系统分析与设计过程中,针对高阶动态系统所具有的时滞性,常常利用具有延迟环节的
一阶( first order plus time delay,FOPTD) 或者二阶系统( second order plus time delay,SOPTD) 模型对
其进行近似处理,由于建模误差过大影响所描述系统的准确性和控制性能。本文给出了具有延迟
环节的新型非整数阶类一阶系统模型( non - integer order plus time delay,NIOPTD) ,并分别设计了
某高阶系统降阶得到的传统模型与新型类一阶系统近似模型,对比分析新型类一阶系统模型的优
点与可行性。针对上述3 种系统模型( FOPTD、SOPTD、NIOPTD) 在频域内给出分数阶PIλDμ 控制
器新的参数整定方法,通过仿真对比分析得出方法的有效性,并证实分数阶PIλDμ 控制器作用于
NIOPTD 模型具有最好的控制性能和鲁棒稳定性。
Abstract:
For the delay performance of the higher order dynamic system model in the process of system analysis
and design,first or second order plus time delay system model are used to make approximations
for it,but the described system accuracy and control performance are reduced because of oversize error of
the model. A new non-integer order plus time delay ( NIOPTD) system model was designed,then the traditional
model and the NIOPTD model were received to take the place of a higher order system,and the
advantages of the NIOPTD system model were given via comparisons. A new method of fractional order
controller parameter tuning in frequency domain was given for the three system models ( first order,second
order system and NIOPTD) . Simulations results illustrate that the best control performance and robust
stability can be performed as desire by utilizing NIOPTD system model.

参考文献/References:

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备注/Memo

备注/Memo:
更新日期/Last Update: 2014-11-24