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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.

CONTROL OF DISCRETE LINEAR REPETITIVE PROCESSES WITH VARIABLE PARAMETER UNCERTAINTY