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Extended Nonsingular Terminal Sliding Surface for Second‐Order Nonlinear Systems

Author

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  • Ji Wung Jeong
  • Ho Suk Yeon
  • Kang-Bak Park

Abstract

An extended nonsingular terminal sliding surface is proposed for second‐order nonlinear systems. It is shown that the proposed surface is a superset of a conventional nonsingular terminal sliding surface which guarantees that the system state gets to zero in finite time. The conventional nonsingular sliding surfaces have been designed using a power function whose exponent is a rational number with positive odd numerator and denominator. The proposed nonsingular terminal sliding surface overcomes the restriction on the exponent of a power function; that is, the exponent can be a positive real number. Simulation results are provided to show the validity of the main result.

Suggested Citation

  • Ji Wung Jeong & Ho Suk Yeon & Kang-Bak Park, 2014. "Extended Nonsingular Terminal Sliding Surface for Second‐Order Nonlinear Systems," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:267510
    DOI: 10.1155/2014/267510
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    References listed on IDEAS

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    1. Jin Li & Liu Yang, 2014. "Finite‐Time Terminal Sliding Mode Tracking Control for Piezoelectric Actuators," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    2. Ying Yang & Guopei Chen, 2014. "Finite Time Stability of Stochastic Hybrid Systems," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    3. Chakib Ben Njima & Walid Ben Mabrouk & Hassani Messaoud & Germain Garcia, 2014. "Finite Time Stabilization of the Four Tanks System: Extensions to the Uncertain Systems," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-7, March.
    4. Chakib Ben Njima & Walid Ben Mabrouk & Hassani Messaoud & Germain Garcia, 2014. "Finite Time Stabilization of the Four Tanks System: Extensions to the Uncertain Systems," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    5. Ying Yang & Guopei Chen, 2014. "Finite Time Stability of Stochastic Hybrid Systems," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-7, January.
    6. Jin Li & Liu Yang, 2014. "Finite-Time Terminal Sliding Mode Tracking Control for Piezoelectric Actuators," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-9, March.
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