Adaptive Chattering-Free Sliding Mode Control of Chaotic Systems with Unknown Input Nonlinearity via Smooth Hyperbolic Tangent Function
Joint Authors
Yan, Jun-Juh
Fang, Jiunn-Shiou
Guo, Shu-Mei
Tsai, Jason S. H.
Source
Mathematical Problems in Engineering
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-10-07
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
The design of adaptive chattering-free sliding mode controller (SMC) for chaotic systems with unknown input nonlinearities is studied in this paper.
A smooth hyperbolic tangent function is utilized to replace the discontinuous sign function; therefore, the proposed adaptive SMC ensures that not only the chaos phenomenon can be suppressed effectively but also the chattering often appearing in the traditional discontinuous SMC with sign function is eliminated, even when the unknown input nonlinearity is present.
A sufficient condition for stability of closed-loop system is acquired by Lyapunov theory.
The numerical simulation results are illustrated to verify the proposed adaptive sliding mode control method.
American Psychological Association (APA)
Fang, Jiunn-Shiou& Tsai, Jason S. H.& Yan, Jun-Juh& Guo, Shu-Mei. 2019. Adaptive Chattering-Free Sliding Mode Control of Chaotic Systems with Unknown Input Nonlinearity via Smooth Hyperbolic Tangent Function. Mathematical Problems in Engineering،Vol. 2019, no. 2019, pp.1-9.
https://search.emarefa.net/detail/BIM-1195637
Modern Language Association (MLA)
Fang, Jiunn-Shiou…[et al.]. Adaptive Chattering-Free Sliding Mode Control of Chaotic Systems with Unknown Input Nonlinearity via Smooth Hyperbolic Tangent Function. Mathematical Problems in Engineering No. 2019 (2019), pp.1-9.
https://search.emarefa.net/detail/BIM-1195637
American Medical Association (AMA)
Fang, Jiunn-Shiou& Tsai, Jason S. H.& Yan, Jun-Juh& Guo, Shu-Mei. Adaptive Chattering-Free Sliding Mode Control of Chaotic Systems with Unknown Input Nonlinearity via Smooth Hyperbolic Tangent Function. Mathematical Problems in Engineering. 2019. Vol. 2019, no. 2019, pp.1-9.
https://search.emarefa.net/detail/BIM-1195637
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1195637