Control refinement for discrete-time descriptor systems

Authors :: Fei Chen
Sofie Haesaert
Siep Weiland
Alessandro Abate
Mechanical Engineering
Control Systems
Control of high-precision mechatronic systems
Formal methods for control of cyber-physical systems
Spatial-Temporal Systems for Control
Cyber-Physical Systems Center Eindhoven
Source :: arXiv.org, e-Print Archive, Physics, ISSUE=1704.01672;TITLE=arXiv.org, e-Print Archive, Physics
Publication Year :: 2017
Publisher :: Elsevier, 2017.
Abstract: 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.<br />Comment: 8 pages, 3 figures

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