Static Nonlinear Compensator Design for Bilinear Systems with an Application on a Furnace

In this paper, a theoretical solution for optimizing the parameters of a static nonlinear compensator for first order bilinear systems is proposed. This is compared with the compensator optimized through perturbation using a maximum length ternary signal. It was found that both methods give parameters that are close to one another. However, the theoretical method offers the advantages that it is more computationally efficient and less time consuming. The solution is also unaffected by the choice of design points and optimization algorithm used. The compensator design is applied on an electrical tube furnace which is shown to behave as a first order bilinear system