Automatica, Vol.45, No.12, 2982-2985, 2009
On the second-order sliding mode control of nonlinear systems with uncertain control direction
This note deals with the implementation of a second-order sliding mode control algorithm for a class of nonlinear systems in which the sip of the high-frequency gain, though constant, is unknown. A specific second-order sliding mode control algorithm, the "Suboptimal" algorithm, is properly modified in order to face the uncertainty in the control direction. It is shown that after a finite time the uncertain sign is identified and the standard finite time convergence takes place from that time on. Simulation results are provided. (C) 2009 Elsevier Ltd. All rights reserved.