Control of discrete linear repetitive processes with variable parameter uncertainty

This paper is devoted to solving the problem of stabilising an uncertain discrete linear repetitive process, where the model uncertainty is a result of the variable along the pass uncertainty of the parameters. The analysis is applied to the engineering example of the material rolling process, which can be modelled as a repetitive process (Rogers and Owens, 1992; Gałkowski et al., 2003b). Due to its analytical simplicity and due to computational effectiveness, the LMI based approach to design a robust state controller for 2D systems has been used here.