Extended Nonsingular Terminal Sliding Surface for Second-Order Nonlinear Systems

• Main Authors: Ji Wung Jeong, Ho Suk Yeon, Kang-Bak Park
• Format: Article
• Language: English
• Published: Hindawi Limited 2014-01-01
• Series: Abstract and Applied Analysis
• Online Access: http://dx.doi.org/10.1155/2014/267510

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.