2-TIME SCALE SLIDING-MODE CONTROL FOR A CLASS OF NONLINEAR-SYSTEMS

The paper deals with the robust asymptotic stabilization of a class of nonlinear singularly perturbed systems using sliding-mode control tec hniques. The approach consists of decomposing the original system into two reduced order systems, for which stabilizing sliding-mode control lers are applied and combined in a two-time scale sliding-mode control for the full order system. A stability analysis allows us to provide sufficient conditions for the asymptotic stability of the full order c losed-loop system. An example illustrates the design procedure and per formance of the proposed control scheme. (C) 1997 by John Wiley & Sons , Ltd.