A design method of 2-degree-of-freedom repetitive control systems

2003 ◽  
Author(s):  
Kou Yamada ◽  
Tooru Arakawa ◽  
Tadashi Okuyama
Keyword(s):  
Control Systems ◽  
Design Method ◽  
Repetitive Control ◽  
Degree Of Freedom

scholarly journals A Design Method for 2-Degree-of-Freedom Repetitive Control Systems

2004 ◽  
Vol 70 (692) ◽  
pp. 1029-1036
Author(s):  
Kou YAMADA ◽  
Tooru ARAKAWA ◽  
Satoko KIKUCHI ◽  
Keiji SATOH ◽  
Tadashi OKUYAMA
Keyword(s):  
Control Systems ◽  
Design Method ◽  
Repetitive Control ◽  
Degree Of Freedom

A Design Method for Two-Degree-of-Freedom Multi-Period Repetitive Control Systems with the Specified Frequency Characteristic

2011 ◽  
Vol 497 ◽  
pp. 255-269
Author(s):  
Zhong Xiang Chen ◽  
Kou Yamada ◽  
Nobuaki Nakazawa ◽  
Iwanori Murakami ◽  
Yoshinori Ando ◽  
...  
Keyword(s):  
Control System ◽  
Control Systems ◽  
Frequency Characteristic ◽  
Design Method ◽  
Repetitive Control ◽  
Output Characteristic ◽  
Degree Of Freedom ◽  
Disturbance Attenuation ◽  
Input Output ◽  
Two Degree Of Freedom

Multi-period repetitive controllers improve the disturbance attenuation characteristic of themodified repetitive control system that follows the periodic reference input with small steady stateerror. Recently, the parameterization of all stabilizing multi-period repetitive controllers was studied.However, when the parameterization of all stabilizing multi-period repetitive controllers is used, theinput-output characteristic and the feedback characteristic cannot be specified separately. From thepractical point of view, it is desirable to specify the input-output characteristic and the feedback characteristicseparately. In addition, the parameterization is useful to design stabilizing controllers. Fromthis view-point, the parameterization of all stabilizing two-degree-of-freedom multi-period repetitivecontrollers those can specify the input-output characteristic and the disturbance attenuation characteristicseparately was solved by Yamada et al. However, when we design a stabilizing two-degree-offreedommulti-period repetitive controllers using the parameterization proposed by Yamada et al, thefrequency characteristic of the control system cannot be settled so easily. From the practical point ofview, the frequency characteristic of the control systems are required to be easily settled. This problemcan be solved by obtaining the parameterization of all stabilizing two-degree-of-freedom multi-periodrepetitive controllers with the specified frequency characteristic. In this paper, we propose the parameterizationof all stabilizing two-degree-of-freedom multi-period repetitive controllers with thespecified frequency characteristic.

A Design Method for Two-Degree-of-Freedom Simple Multi-Period Repetitive Control Systems

2010 ◽  
Vol 36 ◽  
pp. 243-252 ◽  
Author(s):  
Yoshinori Ando ◽  
Tatsuya Sakanushi ◽  
Kou Yamada ◽  
Iwanori Murakami ◽  
Takaaki Hagiwara ◽  
...  
Keyword(s):  
Control System ◽  
Control Systems ◽  
Transfer Functions ◽  
Design Method ◽  
Output Characteristic ◽  
Degree Of Freedom ◽  
Disturbance Attenuation ◽  
Input Output ◽  
Attenuation Characteristic ◽  
Two Degree Of Freedom

The multi-period repetitive (MPR) control system is a type of servomechanism for periodic reference inputs. Using MPR controllers, transfer functions from the reference input to the output and from the disturbance to the output of the MPR control system have infinite numbers of poles. To specify the input-output characteristic and the disturbance attenuation characteristic easily, Yamada and Takenaga proposed MPR control systems, named simple multi-period repetitive (simple MPR) control systems, where these transfer functions have finite numbers of poles. In addition, Yamada and Takenaga clarified the parameterization of all stabilizing simple MPR controllers. However, using the simple MPR repetitive controller by Yamada and Takenaga, we cannot specify the input-output characteristic and the disturbance attenuation characteristic separately. From the practical point of view, it is desirable to specify the input-output characteristic and the disturbance attenuation characteristic separately. The purpose of this paper is to propose the parameterization of all stabilizing two-degree-of-freedom (TDOF) simple MPR controllers that can specify the input-output characteristic and the disturbance attenuation characteristic separately.

A Design Method for Two-Degree-of-Freedom Multi-Period Repetitive Control Systems

2010 ◽  
Vol 459 ◽  
pp. 194-210 ◽  
Author(s):  
Kou Yamada ◽  
Nobuaki Nakazawa ◽  
Iwanori Murakami ◽  
Yoshinori Ando ◽  
Takaaki Hagiwara ◽  
...  
Keyword(s):  
Design Method ◽  
Repetitive Control ◽  
Point Of View ◽  
Output Characteristic ◽  
Degree Of Freedom ◽  
Disturbance Attenuation ◽  
Input Output ◽  
Stabilizing Controllers ◽  
Attenuation Characteristic ◽  
Two Degree Of Freedom

Multi-period repetitive controllers improve the disturbance attenuation characteristic of the modified repetitive control system that follows the periodic reference input with a small steady state error. Recently, the parameterization of all stabilizing multi-period repetitive controllers was studied. However, when the parameterization of all stabilizing multi-period repetitive controllers is used, the input-output characteristic and the feedback characteristic cannot be specified separately. From the practical point of view, it is desirable to specify the input-output characteristic and the feedback characteristic separately. In addition, the parameterization is useful to design stabilizing controllers. Therefore, the problem of obtaining the parameterization of all stabilizing two-degree-of-freedom multi-period repetitive controllers that can specify the input-output characteristic and the disturbance attenuation characteristic separately is important to solve. In this paper, we propose the parameterization of all stabilizing two-degree-of-freedom multi-period repetitive controllers.

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