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

Jiunn Shiou Fang, Jason Sheng Hong Tsai, Jun Juh Yan, Shu Mei Guo

Research output: Contribution to journalArticle

Abstract

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.

Original languageEnglish
Article number4509674
JournalMathematical Problems in Engineering
Volume2019
DOIs
Publication statusPublished - 2019 Jan 1

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Tangent function
Hyperbolic tangent
Hyperbolic functions
Unknown Inputs
Hyperbolic function
Chattering
Chaotic systems
Sliding mode control
Sliding Mode Control
Sliding Mode
Chaotic System
Nonlinearity
Controller
Controllers
Adaptive Sliding Mode Control
Lyapunov Theory
Closed loop systems
Chaos theory
Closed-loop System
Chaos

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Engineering(all)

Cite this

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abstract = "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.",
author = "Fang, {Jiunn Shiou} and Tsai, {Jason Sheng Hong} and Yan, {Jun Juh} and Guo, {Shu Mei}",
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