The parameterization of all robust stabilizing simple multi-period repetitive controllers for multiple-input/multiple-output plants with specified input-output frequency characteristic

2013 ◽  
Author(s):  
Tatsuya Sakanushi ◽  
Kou Yamada ◽  
Jie Hu
Keyword(s):  
Frequency Characteristic ◽  
Multiple Input Multiple Output ◽  
Input Output ◽  
Output Frequency ◽  
Multiple Input ◽  
Input Multiple Output

The Parameterization of all Stabilizing Modified Repetitive Controllers for Multiple-Input/Multiple-Output Plants with the Specified Input-Output Frequency Characteristic

2010 ◽  
Vol 36 ◽  
pp. 273-281 ◽  
Author(s):  
Kou Yamada ◽  
Tatsuya Sakanushi ◽  
Takaaki Hagiwara ◽  
Iwanori Murakami ◽  
Yoshinori Ando ◽  
...  
Keyword(s):  
Control System ◽  
Control Systems ◽  
Frequency Characteristic ◽  
Multiple Input Multiple Output ◽  
Minimum Phase ◽  
Input Output ◽  
Output Frequency ◽  
Multiple Input ◽  
Input Multiple Output ◽  
Phase Systems

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.

scholarly journals A Design Method for a Robust Stabilizing Multi-Period Repetitive Control System for Multiple-Input/Multiple-Output Plants with Specied Input-Output Frequency Characteristic Using the Parameterization

1970 ◽  
Vol 7 (1) ◽  
pp. 21-31
Author(s):  
Zhongxiang Chen ◽  
Tatsuya Sakanushi ◽  
Kou Yamada ◽  
Satoshi Tohnai ◽  
Yun Zhao
Keyword(s):  
Frequency Characteristic ◽  
Multiple Input Multiple Output ◽  
Input Output ◽  
Output Frequency ◽  
Complete Proof ◽  
Pass Filter ◽  
Low Pass Filter ◽  
Multiple Input ◽  
Input Multiple Output ◽  
Low Pass

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.

An Input-Output Criterion for Linear Model Deduction

1996 ◽  
Vol 122 (3) ◽  
pp. 507-513 ◽  
Author(s):  
Douglas G. Walker ◽  
Jeffrey L. Stein ◽  
A. Galip Ulsoy
Keyword(s):  
Multiple Input Multiple Output ◽  
Input Output ◽  
Minimum Order ◽  
New Model ◽  
Multiple Input ◽  
Input Multiple Output ◽  
Single Input ◽  
Mimo Model ◽  
Controllability And Observability ◽  
Output Criterion

Model order deduction algorithms have been developed in an effort to automate the production of accurate, minimal complexity models of dynamic systems in order to aid in the design of these systems. Previous algorithms, MODA and Extended MODA, deduce models independent of system inputs and outputs. FD-MODA uses frequency response methods to deduce models of a single input-output pair. In this paper, an input-output criterion based on controllability and observability is combined with the frequency based criterion used by MODA. The new model deduction algorithm, IO-MODA, compares the ratio of the adjacent diagonal values of the system gramian to a user specified threshold. The gramian is computed from a balanced realization of the system. IO-MODA generates an accurate multiple-input multiple-output model of minimum order with physically meaningful states. This model is called a proper MIMO model. An example problem is used to demonstrate this new model deduction algorithm. [S0022-0434(00)02103-1]

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.

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