The catalytic converter system installed in the exhaust of automobiles to convert harmful gases (CO, NO) to less harmful gases (CO2, N2). For the conversion to take place, an optimal amount of oxygen must be maintained at the catalytic converter. Ceria stores oxygen when there it is in excess and releases it when it is in short supply. This is an example of a situation where a control law is obtained as an
explicit function of the state of the system - therefore no need to solve an optimisation problem to compute the optimal value of the control variable.