Model-deviation compensation control for uncertain systems with time delay

A novel model-deviation compensation control strategy is developed for a class of uncertain systems with time delay in this paper. Taking an identified second-order plus dead-time (SOPDT) process for example, the whole design methodology is proposed, which integrates the prediction model, the sliding function design, the equivalent control term and the model-deviation compensation control law. Firstly the delay-ahead predictor with the feedback correction is constructed to weaken the affection of time delay in the system. Then by improving the classical sliding mode control, after obtaining the equivalent control term, the model-deviation compensation term is derived from the actual regulated response and the deviation to be eliminated, so that the modeling uncertainties and external disturbances can be restrained. Finally the establishment and feasible solution of LMI guarantee that the system output reaches the desired value. The simulation results verify the effectiveness of the proposed strategy.