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Abstract and Applied Analysis
Volume 2014, Article ID 267510, 6 pages
Research Article

Extended Nonsingular Terminal Sliding Surface for Second-Order Nonlinear Systems

Department of Control and Instrumentation Engineering, Korea University, 2511 Sejong-ro, Sejong City 339-700, Republic of Korea

Received 29 January 2014; Accepted 18 April 2014; Published 11 May 2014

Academic Editor: Hui Zhang

Copyright © 2014 Ji Wung Jeong et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.