Goal oriented estimation of an industrial furnace to be controlled using bilinear PID

PID control systems are tunable devices which provide acceptable performances and are widespread in many industries. However, it is assumed that local linearity holds for the plant to be controlled, with the tuning being valid around a particular operating point only. Extending the performance over a wider range usually involves an in-depth local understanding of plant nonlinearities. In some cases, this can be approximately expressed as a bilinearity. To illustrate the approach, appropriate system modelling and design of a bilinear control strategy for a high-temperature industrial furnace system is presented.