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The analysis of industrial processes, modelled as descriptor systems, isoften computationally hard due to the presence of both algebraic couplings anddifference equations of high order. In this paper, we introduce a controlrefinement notion for these descriptor systems that enables analysis andcontrol design over related reduced-order systems. Utilising the behaviouralframework, we extend upon the standard hierarchical control refinement forordinary systems and allow for algebraic couplings inherent to descriptorsystems.

Control refinement for discrete-time descriptor systems: a behavioural approach via simulation relations