Abstract:

A linear matrix inequality(LMI)-based sliding surface
design method for integral sliding mode control of uncertain time-
delay systems with mismatching uncertainties is proposed.The
uncertain time-delay system under consideration may have mis-
matching norm bounded uncertainties in the state matrix as well
as the input matrix.A sufficient condition for the existence of a
sliding surface is given to guarantee asymptotic stability of the full
order sliding mode dynamics.An LMI characterization of the slid-
ing surface is given,together with an integral sliding mode control
law guaranteeing the existence of a sliding mode from the initial
time.Finally,a simulation is given to show the effectiveness of the
proposed method.