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 A Design Method for Robust Stabilizing Modied Repetitive Controllers for Multiple-Input/Multiple-Output Time-Delay Plants with Specied Input-Output Characteristic

1970 ◽  
Vol 8 (1) ◽  
pp. 25-35
Author(s):  
Yun Zhao ◽  
Kou Yamada ◽  
Tatsuya Sakanushi ◽  
Satoshi Tohnai
Keyword(s):  
Control System ◽  
Time Delay ◽  
Multiple Input Multiple Output ◽  
Repetitive Control ◽  
Output Characteristic ◽  
Input Output ◽  
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 control system unstable, even though the controller was designed to stabilize the nominal plant. Recently, Chen et al. propose the parameterization of all robust stabilizingmodified repetitive controllers for multipleinput/ multiple-output time-delay plants. However, using their method, it is complex to specify the lowpass filter in the internal model for the periodic reference input of which the role is to specify the inputoutput characteristic. Because, the low-pass filter is related to four free parameters in the parameterization. To specify the input-output characteristic easily, this paper proposes the parameterization of all robust stabilizing modified repetitive controllers for multiple-input/multiple-output time-delay plants with specified input-output characteristic such that the input-output characteristic can be specified beforehand.

A Design Method for Stabilizing Modified Smith Predictors for Multiple-Input/Multiple-Output Time-Delay Plants

2010 ◽  
Vol 459 ◽  
pp. 221-233 ◽  
Author(s):  
Kou Yamada ◽  
Nghia Thi Mai ◽  
Yoshinori Ando ◽  
Takaaki Hagiwara ◽  
Iwanori Murakami ◽  
...  
Keyword(s):  
Time Delay ◽  
Design Method ◽  
Multiple Input Multiple Output ◽  
Smith Predictor ◽  
Single Input Single Output ◽  
Single Output ◽  
Multiple Input ◽  
Modified Smith Predictor ◽  
Input Multiple Output ◽  
Output Time

The modified Smith predictor is well known as an effective time-delay compensator for a plant with large time-delays, and several papers on the modified Smith predictor have been published. The parameterization of all stabilizing modified Smith predictors for single-input/single-output time-delay plants is obtained by Yamada et al. However, they do not examine the parameterization of all stabilizing modified Smith predictors for multiple-input/multiple-output time-delay plants. The purpose of this paper is to expand the result by Yamada et al. and to propose the parameterization of all stabilizing modified Smith predictors for multiple-input/multiple-output time-delay plants. Control characteristics of the control system using obtained parameterization of all stabilizing modified Smith predictors are also given. Finally, a numerical example is illustrated to show the effectiveness of proposed parameterization of all stabilizing modified Smith predictors.

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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