Model-following adaptive second-order sliding model control of a class of nonlinear uncertain systems

In this paper, a novel algorithm model-following adaptive second-order sliding model control is proposed for a class of nonlinear uncertain systems. Second-order sliding model control can effectively counteract chattering that conventional sliding model control hold. The difference between the output of pant and the output of the followed model is regarded as sliding variable; the algorithm presented here introduced a suitable commutation logic that prevents uncontrollable growth of the uncertainties in the control system. Thank to this algorithm, the nonlinear uncertain systems are properly controlled. The example of simulation shows that the method is very effective for a class of nonlinear uncertain systems, and can be used in real time online control.