Sliding mode controller for linear systems with mismatched time-varying uncertainties

A new design approach of a sliding mode controller for linear systems with mismatched time-varying uncertainties is presented in this paper. The coeff icient matrix of the sliding function can be designed to satisfy a new matc hing condition provided time-varying uncertainties are bounded. It is shown that the system is invariant on the sliding surface. It is also shown that the stability of the closed-loop system is guaranteed. Moreover, the chatt ering around the sliding surface in the sliding mode control can be reduced by the proposed design approach. Simulation results are included to illust rate the effectiveness of the proposed sliding mode controller. (C) 2000 Th e Franklin Institute. Published by Elsevier Science Ltd. All rights reserve d.