Title: Adaptive fast finite-time multiple-surface sliding control for a class of uncertain non-linear systems
Author: Suiyang Khoo; Shengkui Zhao; Zhihong Man
School of Engineering, Waurn Ponds Campus, Deakin University, VIC 3216, Australia.
Advanced Digital Sciences Centre, 1 Fusionopolis Way, #08-10 Connexis North Tower, 138632 Singapore.
Faculty of Engineering and Industrial Sciences, Swinburne University of Technology, VIC 3216, Australia
Journal: Int. J. of Modelling, Identification and Control, 2012 Vol.16, No.4, pp.392 - 400
Abstract: This paper concerns the adaptive fast finite-time multiple-surface sliding control (AFFTMSSC) problem for a class of high-order uncertain non-linear systems of which the upper bounds of the system uncertainties are unknown. By using the fast control Lyapunov function and the method of so-called adding a power integrator merging with adaptive technique, a recursive design procedure is provided, which guarantees the fast finite-time stability of the closed-loop system. Further, it is proved that the control input is bounded.
Keywords: finite time convergence; sliding mode control; SMC; uncertain systems; nonlinear systems; adaptive control; recursive design.
Available online 25 Jul 2012