Sliding mode control with bounded inputs and its application to automotive coldstart emissions reduction

In this study, the sliding mode control technique is extended for a class of uncertain systems with bounded inputs. Based on the proposed technique, a set of upper limits for the gains of a sliding mode controller are determined with regard to the given ranges of system inputs. The devised technique is applicable to single input-single output (SISO) and a certain class of multiple input-multiple output (MIMO) systems. The method is then employed to design an exhaust gas temperature controller to reduce the cumulative tailpipe hydrocarbon (HC) emissions during the coldstart operation of an automotive engine. The simulation results indicate the effectiveness of the proposed technique.