Modelling and data-based identification of heating element in continuous-time domain

A unique data-based and physically meaningful nonlinear continuous-time model of heating element is presented. The model is considered to be of low complexity yet achieving high simulation performance. The physical meaningfulness of the model provides enhanced insight into the performance and functionality of the system. In return, this information can be used during the system simulation and improved model based control designs for tight temperature regulation. The second contribution presented in this work is the parameter estimation of the derived nonlinear model in continuous-time domain itself. For this purpose the application of refined instrumental variable methods has been found to be particularly suitable

Properties of input-output Hammerstein-bilinear structure with application to an industrial air handling unit

When developing mathematical models, especially for control, the practical interest lies in relatively simple extensions of linear structures that offer improved modelling capabilities. In this paper a discrete-time input-output Hammerstein-bilinear structure is introduced and its properties are discussed in detail. It consists of a cascade connection of a static nonlinearity followed by a dynamic bilinear system. By combining advantages of constituent subsystems the Hammerstein-bilinear structure allows for both an input dependant dynamic behaviour (particular property of bilinear systems) and an increased flexibility of the steady-state characteristic (particular property of Hammerstein models) to be obtained simultaneously. Modelling capabilities of such structure are evaluated on an air-handling unit that is a part of an industrial heating, ventilation and air-conditioning system