A design method for robust stabilizing multi-period repetitive controllers for multiple-input/multiple-output plants with specified input-output frequency characteristic

Author(s):  
Zhongxiang Chen ◽  
Tatsuya Sakanushi ◽  
Kou Yamada ◽  
Satoshi Tohnai ◽  
Yun Zhao
2010 ◽  
Vol 36 ◽  
pp. 273-281 ◽  
Author(s):  
Kou Yamada ◽  
Tatsuya Sakanushi ◽  
Takaaki Hagiwara ◽  
Iwanori Murakami ◽  
Yoshinori Ando ◽  
...  

In this paper, we examine the parameterization of all stabilizing modified repetitive controllers for multiple-input/multiple-output plants with the specified input-output frequency characteristic. The parameterization of all stabilizing modified repetitive controllers for non-minimum phase systems was solved by Yamada et al. However, when we design a stabilizing modified repetitive controller using the parameterization by Yamada et al., the input-output frequency characteristic of the control system cannot be settled so easily. The input-output frequency characteristic of the control systems is required to be easily settled. This problem is solved by obtaining the parameterization of all stabilizing modified repetitive controllers with the specified input-output frequency characteristic. However, no paper has proposed the parameterization of all stabilizing modified repetitive controllers for multiple-input/multiple-output plants with the specified input-output frequency characteristic. In this paper, we propose the parameterization of all stabilizing modified repetitive controllers for multiple-input/multiple-output plants with the specified input-output frequency characteristic.


Author(s):  
Zhongxiang Chen ◽  
Tatsuya Sakanushi ◽  
Kou Yamada ◽  
Satoshi Tohnai ◽  
Yun Zhao

The multi-period repetitive control system is a type of servomechanism for a periodic reference input. Recently, the parameterization of all robust stabilizing multi-period repetitive controllers for multipleinput/ multiple-output plants with uncertainty was obtained by Chen et al. However, using their method, it is complex to specify the low-pass filter in the internal model for the periodic reference input of which the role is to specify the input-output frequency characteristic. Because, the low-pass filter is related to four free parameters in the parameterization proposed by Chen et al. Chen et al. examined the parameterization of all robust stabilizing multi-period repetitive controllers for multiple-input/multiple-output plants with specified input-output frequency characteristic such that the input-output frequency characteristic can be specified beforehand. However, they omitted complete proof on account of space limitations. This paper gives the complete proof and demonstrates the effectiveness of the parameterization. The control characteristics of the system are presented, along with a design procedure for a robust stabilizing multi-period repetitive controller with specified input-output frequency characteristic. A numericalexample is presented to illustrate the effectiveness of the proposed method.


2012 ◽  
Vol 6 (2) ◽  
pp. 131-144 ◽  
Author(s):  
Takaaki HAGIWARA ◽  
Kou YAMADA ◽  
Shun MATSUURA ◽  
Satoshi AOYAMA

2019 ◽  
Vol 46 (6) ◽  
pp. 0614014
Author(s):  
于洋 Yang Yu ◽  
乔灵博 Lingbo Qiao ◽  
游燕 Yan You ◽  
赵自然 Ziran Zhao

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