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A New Fast Nonsingular Terminal Sliding Mode Control for a Class of Second-Order Uncertain Systems

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  • Linjie Xin
  • Qinglin Wang
  • Yuan Li

Abstract

This paper considers the robust and adaptive nonsingular terminal sliding mode (NTSM) control for a class of second-order uncertain systems. First, a new fast NTSM was proposed which had global fast convergence rate in the sliding phase. Then, a new form of robust NTSM controller was designed to handle a wider class of second-order uncertain systems. Moreover, an exponential-decline switching gain was introduced for chattering suppression. After that, a double sliding surfaces control scheme was constructed to combine the NTSM control with the adaptive technique. The benefit is that a strict demonstration can be given for the stagnation problem in the stability analysis of NTSM. Finally, a case study for tracking control of a variable-length pendulum was performed to verify the proposed controllers.

Suggested Citation

  • Linjie Xin & Qinglin Wang & Yuan Li, 2016. "A New Fast Nonsingular Terminal Sliding Mode Control for a Class of Second-Order Uncertain Systems," Mathematical Problems in Engineering, Hindawi, vol. 2016, pages 1-12, December.
  • Handle: RePEc:hin:jnlmpe:1743861
    DOI: 10.1155/2016/1743861
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