Model-based Controller Design Methods for Heating Systems
Dynamical models of heating systems are derived taking into account the multiplication of temperature difference and flow rate, arising from the heat power balances. Multilinear time-invariant (MTI) models in tensor representation are shown to be adequate for heating systems. Tensor decomposition techniques are applied for rank reduction. A method to derive multilinear approximations of nonlinear models is presented. The multilinear property is used for the controller design. Further model-based controller designs for different heating system examples using nonlinear and switched affine models are discussed and evaluated.