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.
"Extended Nonsingular Terminal Sliding Surface for Second-Order Nonlinear Systems." Abstr. Appl. Anal. 2014 (SI23) 1 - 6, 2014. https://doi.org/10.1155/2014/267510