Abstract:The sliding mode control problem for a class of singular switched systems with mismatched uncertainty and
time-varying delay is studied. Firstly, based on Lyapunov stability theory and linear matrix inequality techniques, integral-
type sliding surface is designed for each subsystem, and the sufficient condition of robust asymptotic stability is deduced
for each sliding mode dynamic equation. Then sliding mode controller and a set of switching laws are devised to insure the
reachability of sliding mode for the closed-loop system, and thus the sliding mode dynamics is resulted. Finally, a numerical
example shows the effectiveness of the proposed approaches.