Adaptive Chattering-Free Sliding Mode Control of Chaotic Systems with Unknown Input Nonlinearity via Smooth Hyperbolic Tangent Function

Adaptive Chattering-Free Sliding Mode Control of Chaotic Systems with Unknown Input Nonlinearity via Smooth Hyperbolic Tangent Function

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...

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Main Authors: Jiunn-Shiou Fang, Jason Sheng-Hong Tsai, Jun-Juh Yan, Shu-Mei Guo
Format: Article
Language:English
Published: Hindawi Limited 2019-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2019/4509674
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spelling doaj-02655db26d6c48e88f22811390d1bf6b2020-11-25T01:49:34ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472019-01-01201910.1155/2019/45096744509674Adaptive Chattering-Free Sliding Mode Control of Chaotic Systems with Unknown Input Nonlinearity via Smooth Hyperbolic Tangent FunctionJiunn-Shiou Fang0Jason Sheng-Hong Tsai1Jun-Juh Yan2Shu-Mei Guo3Department of Electrical Engineering, National Cheng-Kung University, Tainan 701, TaiwanDepartment of Electrical Engineering, National Cheng-Kung University, Tainan 701, TaiwanDepartment of Electronic Engineering, National Chin-Yi University of Technology, Taichung 41107, TaiwanDepartment of Computer Science and Information Engineering, National Cheng-Kung University, Tainan 701, TaiwanThe 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.http://dx.doi.org/10.1155/2019/4509674
collection DOAJ
language English
format Article
sources DOAJ
author Jiunn-Shiou Fang
Jason Sheng-Hong Tsai
Jun-Juh Yan
Shu-Mei Guo
spellingShingle Jiunn-Shiou Fang
Jason Sheng-Hong Tsai
Jun-Juh Yan
Shu-Mei Guo
Adaptive Chattering-Free Sliding Mode Control of Chaotic Systems with Unknown Input Nonlinearity via Smooth Hyperbolic Tangent Function
Mathematical Problems in Engineering
author_facet Jiunn-Shiou Fang
Jason Sheng-Hong Tsai
Jun-Juh Yan
Shu-Mei Guo
author_sort Jiunn-Shiou Fang
title Adaptive Chattering-Free Sliding Mode Control of Chaotic Systems with Unknown Input Nonlinearity via Smooth Hyperbolic Tangent Function
title_short Adaptive Chattering-Free Sliding Mode Control of Chaotic Systems with Unknown Input Nonlinearity via Smooth Hyperbolic Tangent Function
title_full Adaptive Chattering-Free Sliding Mode Control of Chaotic Systems with Unknown Input Nonlinearity via Smooth Hyperbolic Tangent Function
title_fullStr Adaptive Chattering-Free Sliding Mode Control of Chaotic Systems with Unknown Input Nonlinearity via Smooth Hyperbolic Tangent Function
title_full_unstemmed Adaptive Chattering-Free Sliding Mode Control of Chaotic Systems with Unknown Input Nonlinearity via Smooth Hyperbolic Tangent Function
title_sort adaptive chattering-free sliding mode control of chaotic systems with unknown input nonlinearity via smooth hyperbolic tangent function
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2019-01-01
description 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.
url http://dx.doi.org/10.1155/2019/4509674
work_keys_str_mv AT jiunnshioufang adaptivechatteringfreeslidingmodecontrolofchaoticsystemswithunknowninputnonlinearityviasmoothhyperbolictangentfunction
AT jasonshenghongtsai adaptivechatteringfreeslidingmodecontrolofchaoticsystemswithunknowninputnonlinearityviasmoothhyperbolictangentfunction
AT junjuhyan adaptivechatteringfreeslidingmodecontrolofchaoticsystemswithunknowninputnonlinearityviasmoothhyperbolictangentfunction
AT shumeiguo adaptivechatteringfreeslidingmodecontrolofchaoticsystemswithunknowninputnonlinearityviasmoothhyperbolictangentfunction
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