Observer-based sliding mode control of uncertain singular time-delay systems

This note deals with the problem of designing full order sliding mode control for uncertain singular time-delay systems via cone complementary linearizable iterative algorithm. These uncertainties are mismatched and have norm bounds. To estimate the sliding surfaces and the sliding control, a dynamical compensator is designed. Using the equivalent control approach the sliding mode is got, whose stability is analyzed, in the augmented space formed by the system states and the state estimation error. Based on the estimated state variables and system output, a sliding mode control scheme is developed such that the system is driven to the sliding surface and maintained on it thereafter. Finally, a simulation is presented to show the effectiveness of the results.