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Optimal Control for a Class of Chaotic Systems
Joint Authors
Tang, Wansheng
Zhang, Jianxiong
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-20, 20 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-04-11
Country of Publication
Egypt
No. of Pages
20
Main Subjects
Abstract EN
This paper proposes the optimal control methods for a class of chaotic systems via state feedback.
By converting the chaotic systems to the form of uncertain piecewise linear systems, we can obtain the optimal controller minimizing the upper bound on cost function by virtue of the robust optimal control method of piecewise linear systems, which is cast as an optimization problem under constraints of bilinear matrix inequalities (BMIs).
In addition, the lower bound on cost function can be achieved by solving a semidefinite programming (SDP).
Finally, numerical examples are given to illustrate the results.
American Psychological Association (APA)
Zhang, Jianxiong& Tang, Wansheng. 2012. Optimal Control for a Class of Chaotic Systems. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-20.
https://search.emarefa.net/detail/BIM-993778
Modern Language Association (MLA)
Zhang, Jianxiong& Tang, Wansheng. Optimal Control for a Class of Chaotic Systems. Journal of Applied Mathematics No. 2012 (2012), pp.1-20.
https://search.emarefa.net/detail/BIM-993778
American Medical Association (AMA)
Zhang, Jianxiong& Tang, Wansheng. Optimal Control for a Class of Chaotic Systems. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-20.
https://search.emarefa.net/detail/BIM-993778
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-993778