Relation between Model Feedback Control Systems and the Parametrization of All Stabilizing Controllers for Multiple-input/Multiple-output Plants

Author(s):  
Kou Yamada ◽  
Hideharu Yamamoto ◽  
Nan Li
Author(s):  
Tatsuya Hoshikawa ◽  
Kou Yamada ◽  
Yuko Tatsumi

When a plant can be stabilized by using a stable controller, the controller is said to be a strongly stabilizing controller. The importance of strong stabilizations is to solve some problems occurred by using unstable stabilizing controllers, for example, feedback control systems become high sensitive for disturbances. Parameterizations of all strongly stabilizable plants and of all stable stabilizing controllers have already proposed. However, stable stabilizing controllers designed by using their parameterization cannot specify the input-output characteristic and the feedback characteristic separately. One of the ways to specify these characteristics separately is to use a twodegree-of-freedom control system. However, the parameterization of all two-degree-of-freedom strongly stabilizing controllers has not been examined. The purpose of this paper is to propose the parameterization of all two-degree-of-freedom strongly stabilizing controllers for strongly stabilizable plants.


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.


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