|
|
Impulsive stabilization of a class of nonlinear system with bounded gain error |
Ma Tie-Dong (马铁东)a b, Zhao Fei-Ya (赵飞亚)b |
a Key Laboratory of Dependable Service Computing in Cyber Physical Society of Ministry of Education, Chongqing University, Chongqing 400044, China; b College of Automation, Chongqing University, Chongqing 400044, China |
|
|
Abstract Considering mechanical limitation or device restriction in practical application, this paper investigates impulsive stabilization of nonlinear systems with impulsive gain error. Compared with the existing impulsive analytical approaches, the proposed impulsive control method is more practically applicable, which includes control gain error with an acceptable boundary. A sufficient criterion for global exponential stability of an impulsive control system is derived, which relaxes the condition for precise impulsive gain efficiently. The effectiveness of the proposed method is confirmed by theoretical analysis and numerical simulation based on Chua's circuit.
|
Received: 02 May 2014
Revised: 23 June 2014
Accepted manuscript online:
|
PACS:
|
05.45.Gg
|
(Control of chaos, applications of chaos)
|
|
05.45.Pq
|
(Numerical simulations of chaotic systems)
|
|
Fund: Project supported by the Major State Basic Research Development Program of China (Grant No. 2012CB215202), the National Natural Science Foundation of China (Grant Nos. 61104080 and 61134001), and the Fundamental Research Funds for the Central Universities (Grant No. CDJZR13 175501). |
Corresponding Authors:
Ma Tie-Dong
E-mail: mtd1118@gmail.com
|
Cite this article:
Ma Tie-Dong (马铁东), Zhao Fei-Ya (赵飞亚) Impulsive stabilization of a class of nonlinear system with bounded gain error 2014 Chin. Phys. B 23 120504
|
[27] |
Zhang H G, Ma T D, Fu J and Tong S C 2009 Chin. Phys. B 18 3742
|
[1] |
Yang T 2001 Impulsive Control Theory (Berlin: Springer)
|
[28] |
Ma T D, Zhang H G and Wang Z L 2007 Acta Phys. Sin. 56 3796 (in Chinese)
|
[2] |
Yang T and Chua L O 1997 IEEE Trans. Circ. Sys. I: Fundamental Theory and Applications 44 976
|
[29] |
Cai S M, Zhou P P and Liu Z R 2014 Nonlinear Dyn. 76 1677
|
[30] |
Su C H and Yang M H 2014 J. Grey System 26 59
|
[3] |
Itoh M, Yang T and Chua L O 2001 Int. J. Bifur. Chaos 11 551
|
[31] |
Li C J, Li C D, Liao X F and Huang T W 2011 Neurocomputing 74 1541
|
[4] |
Li C D, Liao X F and Yang X F 2005 Chaos 15 043103
|
[32] |
Sun G and Zhang Y 2014 Neurocomputing 131 323
|
[33] |
Kao Y G, Wang C H and Zhang L 2013 Neural Process. Lett. 38 321
|
[5] |
Zhong Q S, Bao J F, Yu Y B and Liao X F 2008 Chin. Phys. Lett. 25 2812
|
[6] |
Yang J, Sun Q Y and Yang D S 2012 Acta Phys. Sin. 61 200511 (in Chinese)
|
[34] |
Zhang Q H, Shao Y F and Liu J Z 2013 Math. Methods Appl. Sci. 36 773
|
[35] |
Lakshmikantham V, Bainov D D and Simeonov P S 1989 Theory of Impulsive Differential Equations (Singapore: World Scientific)
|
[7] |
Wang Y W, Guan Z H and Xiao J W 2004 Chaos 14 199
|
[8] |
Li N, Yuan H Q, Sun H Y and Zhang Q L 2013 Nonlinear Dyn. 73 1187
|
[36] |
Cao J D, Li H X and Ho D W C 2005 Chaos, Solitons and Frictals 23 1285
|
[9] |
Zhong Q S, Yu Y B and Yu J B 2010 Chin. Phys. Lett. 27 020501
|
[37] |
Liao X X, Chen G R, Xu B J and Shen Y 2005 Int. J. Bifur. Chaos 15 2227
|
[10] |
Song Q K and Cao J D 2007 IEEE Trans. Syst., Man, and Cyb., Part B 37 733
|
[11] |
Zhang Y and Sun J T 2005 Phys. Lett. A 348 44
|
[12] |
Xu D Y and Yang Z C 2005 J. Math. Anal. Appl. 305 107
|
[13] |
Guan Z H and Chen G R 1999 Neural Networks 12 273
|
No Suggested Reading articles found! |
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
Cited |
|
|
|
|
Altmetric
|
blogs
Facebook pages
Wikipedia page
Google+ users
|
Online attention
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
View more on Altmetrics
|
|
|