scholarly journals Stability of Switched Feedback Time-Varying Dynamic Systems Based on the Properties of the Gap Metric for Operators

2012 ◽  
Vol 2012 ◽  
pp. 1-17 ◽  
Author(s):  
M. De la Sen
Keyword(s):  
Control Systems ◽  
Closed Operator ◽  
Input Output ◽  
Bounded Operators ◽  
Gap Metric ◽  
Closed Operators ◽  
Feedback Control Systems ◽  
Output Operator ◽  
Feedback Time ◽  
Controlled Object

The stabilization of dynamic switched control systems is focused on and based on an operator-based formulation. It is assumed that the controlled object and the controller are described by sequences of closed operator pairs(L,C)on a Hilbert spaceHof the input and output spaces and it is related to the existence of the inverse of the resulting input-output operator being admissible and bounded. The technical mechanism addressed to get the results is the appropriate use of the fact that closed operators being sufficiently close to bounded operators, in terms of the gap metric, are also bounded. That philosophy is followed for the operators describing the input-output relations in switched feedback control systems so as to guarantee the closed-loop stabilization.

scholarly journals The parameterization of all two-degree-of-freedom strongly stabilizing controllers

1970 ◽  
Vol 7 (1) ◽  
pp. 88-96
Author(s):  
Tatsuya Hoshikawa ◽  
Kou Yamada ◽  
Yuko Tatsumi
Keyword(s):  
Control System ◽  
Feedback Control ◽  
Control Systems ◽  
Output Characteristic ◽  
Degree Of Freedom ◽  
Input Output ◽  
Stabilizing Controller ◽  
Stabilizing Controllers ◽  
Feedback Control Systems ◽  
Two Degree Of Freedom

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.

scholarly journals Minimally Complex Nucleic Acid Feedback Control Systems for First Experimental Implementations

2020 ◽  
Vol 53 (2) ◽  
pp. 16745-16752
Author(s):  
Nuno M.G. Paulino ◽  
Mathias Foo ◽  
Tom F.A. de Greef ◽  
Jongmin Kim ◽  
Declan G. Bates
Keyword(s):  
Nucleic Acid ◽  
Feedback Control ◽  
Control Systems ◽  
Feedback Control Systems
Sign in / Sign up

Export Citation Format

Share Document