Robust Exponential Stabilization for a Class of Uncertain Systems via a Single Input Control and its Circuit Implementation
Y. Sun. International Journal of Trend in Scientific Research and Development, 3 (6):
1202-1205(October 2019)
Abstract
In this paper, the robust stabilization for a class of uncertain chaotic or non chaotic systems with single input is investigated. Based on Lyapunov like Theorem with differential and integral inequalities, a simple linear control is developed to realize the global exponential stabilization of such uncertain systems. In addition, the guaranteed exponential convergence rate can be correctly estimated. Finally, some numerical simulations with circuit realization are provided to show the effectiveness of the obtained result. Yeong-Jeu Sun "Robust Exponential Stabilization for a Class of Uncertain Systems via a Single Input Control and its Circuit Implementation" Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-3 | Issue-6 , October 2019, URL: https://www.ijtsrd.com/papers/ijtsrd29322.pdf Paper URL: https://www.ijtsrd.com/engineering/electrical-engineering/29322/robust-exponential-stabilization-for-a-class-of-uncertain-systems-via-a-single-input-control-and-its-circuit-implementation/yeong-jeu-sun
%0 Journal Article
%1 noauthororeditor
%A Sun, Yeong-Jeu
%D 2019
%J International Journal of Trend in Scientific Research and Development
%K Electrical Engineering Uncertain Zhu chaotic control exponential input robust single stabilization system systems
%N 6
%P 1202-1205
%T Robust Exponential Stabilization for a Class of Uncertain Systems via a Single Input Control and its Circuit Implementation
%U https://www.ijtsrd.com/engineering/electrical-engineering/29322/robust-exponential-stabilization-for-a-class-of-uncertain-systems-via-a-single-input-control-and-its-circuit-implementation/yeong-jeu-sun
%V 3
%X In this paper, the robust stabilization for a class of uncertain chaotic or non chaotic systems with single input is investigated. Based on Lyapunov like Theorem with differential and integral inequalities, a simple linear control is developed to realize the global exponential stabilization of such uncertain systems. In addition, the guaranteed exponential convergence rate can be correctly estimated. Finally, some numerical simulations with circuit realization are provided to show the effectiveness of the obtained result. Yeong-Jeu Sun "Robust Exponential Stabilization for a Class of Uncertain Systems via a Single Input Control and its Circuit Implementation" Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-3 | Issue-6 , October 2019, URL: https://www.ijtsrd.com/papers/ijtsrd29322.pdf Paper URL: https://www.ijtsrd.com/engineering/electrical-engineering/29322/robust-exponential-stabilization-for-a-class-of-uncertain-systems-via-a-single-input-control-and-its-circuit-implementation/yeong-jeu-sun
@article{noauthororeditor,
abstract = {In this paper, the robust stabilization for a class of uncertain chaotic or non chaotic systems with single input is investigated. Based on Lyapunov like Theorem with differential and integral inequalities, a simple linear control is developed to realize the global exponential stabilization of such uncertain systems. In addition, the guaranteed exponential convergence rate can be correctly estimated. Finally, some numerical simulations with circuit realization are provided to show the effectiveness of the obtained result. Yeong-Jeu Sun "Robust Exponential Stabilization for a Class of Uncertain Systems via a Single Input Control and its Circuit Implementation" Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-3 | Issue-6 , October 2019, URL: https://www.ijtsrd.com/papers/ijtsrd29322.pdf Paper URL: https://www.ijtsrd.com/engineering/electrical-engineering/29322/robust-exponential-stabilization-for-a-class-of-uncertain-systems-via-a-single-input-control-and-its-circuit-implementation/yeong-jeu-sun
},
added-at = {2019-11-23T13:21:37.000+0100},
author = {Sun, Yeong-Jeu},
biburl = {https://www.bibsonomy.org/bibtex/26b294d09c1170f30b8e69642c9075721/ijtsrd},
interhash = {2d500ea5a44d93fbbc36c6b75ae6c003},
intrahash = {6b294d09c1170f30b8e69642c9075721},
issn = {2456-6470},
journal = {International Journal of Trend in Scientific Research and Development},
keywords = {Electrical Engineering Uncertain Zhu chaotic control exponential input robust single stabilization system systems},
language = {English},
month = oct,
number = 6,
pages = {1202-1205},
timestamp = {2019-11-23T13:21:37.000+0100},
title = {Robust Exponential Stabilization for a Class of Uncertain Systems via a Single Input Control and its Circuit Implementation
},
url = {https://www.ijtsrd.com/engineering/electrical-engineering/29322/robust-exponential-stabilization-for-a-class-of-uncertain-systems-via-a-single-input-control-and-its-circuit-implementation/yeong-jeu-sun},
volume = 3,
year = 2019
}