Adaptive Neural Control of Nonaffine Nonlinear Systems without Differential Condition for Nonaffine Function
Joint Authors
Sun, Chaojiao
Jing, Bo
Liu, Zongcheng
Source
Mathematical Problems in Engineering
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-06-14
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
An adaptive neural control scheme is proposed for nonaffine nonlinear system without using the implicit function theorem or mean value theorem.
The differential conditions on nonaffine nonlinear functions are removed.
The control-gain function is modeled with the nonaffine function probably being indifferentiable.
Furthermore, only a semibounded condition for nonaffine nonlinear function is required in the proposed method, and the basic idea of invariant set theory is then constructively introduced to cope with the difficulty in the control design for nonaffine nonlinear systems.
It is rigorously proved that all the closed-loop signals are bounded and the tracking error converges to a small residual set asymptotically.
Finally, simulation examples are provided to demonstrate the effectiveness of the designed method.
American Psychological Association (APA)
Sun, Chaojiao& Jing, Bo& Liu, Zongcheng. 2016. Adaptive Neural Control of Nonaffine Nonlinear Systems without Differential Condition for Nonaffine Function. Mathematical Problems in Engineering،Vol. 2016, no. 2016, pp.1-11.
https://search.emarefa.net/detail/BIM-1112142
Modern Language Association (MLA)
Sun, Chaojiao…[et al.]. Adaptive Neural Control of Nonaffine Nonlinear Systems without Differential Condition for Nonaffine Function. Mathematical Problems in Engineering No. 2016 (2016), pp.1-11.
https://search.emarefa.net/detail/BIM-1112142
American Medical Association (AMA)
Sun, Chaojiao& Jing, Bo& Liu, Zongcheng. Adaptive Neural Control of Nonaffine Nonlinear Systems without Differential Condition for Nonaffine Function. Mathematical Problems in Engineering. 2016. Vol. 2016, no. 2016, pp.1-11.
https://search.emarefa.net/detail/BIM-1112142
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1112142