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

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

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.

Suggested Citation

  • Jiunn-Shiou Fang & Jason Sheng-Hong Tsai & Jun-Juh Yan & Shu-Mei Guo, 2019. "Adaptive Chattering-Free Sliding Mode Control of Chaotic Systems with Unknown Input Nonlinearity via Smooth Hyperbolic Tangent Function," Mathematical Problems in Engineering, Hindawi, vol. 2019, pages 1-9, October.
    • Handle: RePEc:hin:jnlmpe:4509674
    DOI: 10.1155/2019/4509674
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