PDE-based analysis and control of the oxygen storage level in three-way catalytic converters

We develop a model that retains the distributed nature of three-way catalytic converters based on PDE formulation. Based on this model we show that when a square wave air-to-fuel ratio is applied at the inlet of the catalyst, the time-average of the oxygen storage level acquires an equilibrium profile which is asymptotically stable. To suppress various disturbances at the inlet of the catalyst, we design an output feedback control law based on the linearized system around the acquired equilibrium, using the ideal concentration measurements.