In sintering process, the operator determined the sinter pallet's speed based on the location of BTP. Therefore, it is important to estimate the BTP so that the reliability is high. Quadratic curve was inferred by the curve fitting about wind box with the highest temperature and the sides of the wind box in previous studies. This allows, BTP was estimated. However, this is a disadvantage the correlation coefficient is small where except for the three points. In this paper, wind box is reflected from 17 up to 25, and wind box with the highest temperature and the sides of the wind box are added in range of curve fitting. This was fitted the cubic and fifth-order curve. BTP were estimated in this condition is similar to the actual temperature curve.

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.

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