Discrete-time velocity-based multiple model networks

The velocity-based local model (LM) network is a novel modelling approach that overcomes the lack of interpretability associated with the conventional LM network technique. The global dynamics of the nonlinear network are directly related to the underlying sub-model dynamics. Thus, the velocity-based network is ideally suited to the development of local controller (LC) networks. Furthermore, the local models are continuous-time, velocity-based and linear, providing continuity with established linear theory. To date, research has focused on the continuous-time version of the velocity-based network. The application of digital computer is widely popular in the field of control and, therefore, this paper develops a discrete-time velocity-based multiple model representation. A complex nonlinear process, in the form of a simulated continuous stirred tank reactor, is used to examine the modelling capabilities of the proposed discrete-time technique.