Abstract:  A variable structure control based on the states of observer was proposed for a class of uncertain singular time-delay systems with mismatched unstructured uncertainties. By using the equivalent control approach, the sliding mode dynamics was given. The sufficient condition was introduced such that the sliding mode dynamics is regular, impulsefree, and asymptotically stable. The sliding surface and the controller’s parameterization was obtained by sloving matrix inequlities via cone complementary linearizable iterative algorithm. The numerical simulation provides evidence for its effectiveness and efficiency.

Key words: observer, uncertainty singular timedelay systems, sliding mode controller