scholarly journals Erratum to : A Design Method for Modified Repetitive Control System with Corrected Dead Time

1998 ◽  
Vol 34 (10) ◽  
pp. e1-e1
Keyword(s):  
Control System ◽  
Dead Time ◽  
Design Method ◽  
Repetitive Control

scholarly journals A Design Method for Robust Stabilizing Modied Repetitive Controllers for Multiple-Input/Multiple-Output Time-Delay Plants

1970 ◽  
Vol 7 (1) ◽  
pp. 32-42
Author(s):  
Zhongxiang Chen ◽  
Tatsuya Sakanushi ◽  
Kou Yamada ◽  
Yun Zhao ◽  
Satoshi Tohnai
Keyword(s):  
Control System ◽  
Time Delay ◽  
Design Method ◽  
Multiple Input Multiple Output ◽  
Repetitive Control ◽  
Control Design ◽  
Multiple Input ◽  
Input Multiple Output ◽  
Output Time ◽  
Reference Input

The modified repetitive control system is a type of servomechanism for a periodic reference input. When modified repetitive control design methods are applied to real systems, the influence of uncertainties in the plant must be considered. In some cases, uncertainties in the plant make the modified repetitive control system unstable, even though the controller was designed to stabilize the nominal plant. Recently, the parameterization of all robust stabilizing modified repetitive controllers was obtained by Yamada et al. In addition, Yamada et al. proposed the parameterization of all robust stabilizing modified repetitive controllers for time-delay plants. However, no paper has proposed the parameterization of all robust stabilizing modified repetitive controllers for multiple-input/multiple-output time-delay plants. In this paper, we expand the result by Yamada et al. and propose the parameterization of all robust stabilizing modified repetitive controllers for multipleinput/multiple-output time-delay plants.

scholarly journals Optimal Robust PID Control for First- and Second-Order Plus Dead-Time Processes

2019 ◽  
Vol 9 (9) ◽  
pp. 1934 ◽  
Author(s):  
Takao Sato ◽  
Itaru Hayashi ◽  
Yohei Horibe ◽  
Ramon Vilanova ◽  
Yasuo Konishi
Keyword(s):  
Control System ◽  
Pid Control ◽  
Dead Time ◽  
Design Method ◽  
Second Order ◽  
Process Models ◽  
Second Step ◽  
Reference Tracking ◽  
First Order ◽  
Pid Tuning

The present study proposes a new design method for a proportional-integral-derivative (PID) control system for first-order plus dead-time (FOPDT) and over-damped second-order plus dead-time (SOPDT) systems. What is presented is an optimal PID tuning constrained to robust stability. The optimal tuning is defined for each one of the two operation modes the control system may operate in: servo (reference tracking) and regulation (disturbance rejection). The optimization problem is stated for a normalized second-order plant that unifies FOPDT and SOPDT process models. Different robustness levels are considered and for each one of them, the set of optimal controller parameters is obtained. In a second step, suitable formulas are found that provide continuous values for the controller parameters. Finally, the effectiveness of the proposed method is confirmed through numerical examples.

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.

scholarly journals A New Design Method of High-Order Modified Repetitive Control Systems for Reference Inputs with Uncertain Period-Time

2013 ◽  
Vol 2013 ◽  
pp. 1-10 ◽  
Author(s):  
Zhongxiang Chen ◽  
Kou Yamada ◽  
Tatsuya Sakanushi
Keyword(s):  
Control System ◽  
Control Systems ◽  
Closed Loop ◽  
Design Method ◽  
Repetitive Control ◽  
High Order ◽  
Stabilizing Controllers ◽  
Control Precision ◽  
Free Parameters ◽  
High Control

This paper considers the design of high-order modified repetitive control systems for periodic reference inputs with uncertain period-time. The objective of this work was to develop a new design method so that the closed-loop high-order modified repetitive control system is robustly stable with high control precision for periodic reference inputs with uncertain period-time. The parametrization of all stabilizing controllers containing three free parameters is proposed based on the Youla-Kucera parameterization. Moreover, to obtain the free parameters, the constraint conditions were converted into stability conditions in the form of Bilinear Matrix Inequalities that can be solved using the available software. In addition, the high control precision is guaranteed by designing the free parameters after the control characteristic of this control system. The validity and effectiveness of the proposed design method were verified by numerical examples.

A Design Method for Robust Stabilizing Modified Repetitive Controllers for Time-Delay Plants

2010 ◽  
Vol 36 ◽  
pp. 233-242 ◽  
Author(s):  
Yoshinori Ando ◽  
Kou Yamada ◽  
Nobuaki Nakazawa ◽  
Takaaki Hagiwara ◽  
Iwanori Murakami ◽  
...  
Keyword(s):  
Control System ◽  
Time Delay ◽  
Stability Problem ◽  
Design Method ◽  
Repetitive Control ◽  
Control Design ◽  
Uniform Manner ◽  
The Stability ◽  
Reference Input ◽  
Repetitive Controller

In this paper, we examine the parameterization of all robust stabilizing modified repetitive controllers for time-delay plants. The modified repetitive control system is a type of servomechanism designed for a periodic reference input. When modified repetitive control design methods are applied to real systems, the influence of uncertainties in the plant must be considered. The stability problem with uncertainty is known as the robust stability problem. Recently, the parameterization of all stabilizing modified repetitive controllers was obtained. Since the parameterization of all stabilizing modified repetitive controllers was obtained, we can express previous study of robust stabilizing modified repetitive controller in a uniform manner and can design a stabilizing modified repetitive controller systematically. However, the parameterization of all robust stabilizing modified repetitive controllers for time-delay plants has not been obtained. In this paper, we clarify the parameterization of all robust stabilizing modified repetitive controllers for time-delay plants.

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