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PID Controller Singularly Perturbing Impulsive Differential Equations and Optimal Control Problem
Author
Source
Advances in Mathematical Physics
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-11-12
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
We study singular perturbation of impulsive system with a proportional-integral-derivative controller (PID controller) and solve an optimal control problem.
The perturbation system comprises two important variables, a fast variable and a slow variable.
Because of the complexity of the system, it is difficult to find its exact solution.
This paper presents an approximation method for solving it.
The aim of the approximation method is to reduce the complexity of the system by eliminating the fast variable.
The solution of the method is expressed in an integral form, and it is called an approximated mild solution of the perturbed system.
An example is provided to illustrate our result.
American Psychological Association (APA)
Witayakiattilerd, Wichai. 2017. PID Controller Singularly Perturbing Impulsive Differential Equations and Optimal Control Problem. Advances in Mathematical Physics،Vol. 2017, no. 2017, pp.1-11.
https://search.emarefa.net/detail/BIM-1123073
Modern Language Association (MLA)
Witayakiattilerd, Wichai. PID Controller Singularly Perturbing Impulsive Differential Equations and Optimal Control Problem. Advances in Mathematical Physics No. 2017 (2017), pp.1-11.
https://search.emarefa.net/detail/BIM-1123073
American Medical Association (AMA)
Witayakiattilerd, Wichai. PID Controller Singularly Perturbing Impulsive Differential Equations and Optimal Control Problem. Advances in Mathematical Physics. 2017. Vol. 2017, no. 2017, pp.1-11.
https://search.emarefa.net/detail/BIM-1123073
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1123073