摘要：This paper considers the problem of robust discrete-time sliding-mode control (DT-SMC)
design for a class of uncertain linear systems with time-varying delays. By applying a descriptor
model transformation and Moon's inequality for bounding cross terms, a delay-dependent
sufficient condition for the existence of stable sliding surface is given in terms of linear matrix
inequalities (LMIs). Based on this existence condition, the synthesized sliding mode controller
can guarantee the sliding-mode reaching condition of the specified discrete-time sliding surface
for all admissible uncertainties and time-varying delays. An illustrative example verifies the
effectiveness of the proposed method.
