Control refinement for discrete-time descriptor systems: a behavioural approach via simulation relations
It extends hierarchical control refinement to descriptor systems, addressing a computational bottleneck for industrial processes modeled with both algebraic and difference equations.
The paper introduces a control refinement notion for discrete-time descriptor systems using a behavioural approach via simulation relations, enabling analysis and control design over reduced-order systems despite algebraic couplings.
The analysis of industrial processes, modelled as descriptor systems, is often computationally hard due to the presence of both algebraic couplings and difference equations of high order. In this paper, we introduce a control refinement notion for these descriptor systems that enables analysis and control design over related reduced-order systems. Utilising the behavioural framework, we extend upon the standard hierarchical control refinement for ordinary systems and allow for algebraic couplings inherent to descriptor systems.