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A Theoretical Framework to Determine RHP Zero Dynamics in Sequential Interacting Sub-Systems

1
DySC Research Group on Dynamical Systems and Control, Department of Electrical Energy, Metals, Mechanical Constructions and Systems, Ghent University, Technologiepark 125, B-9052 Ghent, Belgium
2
Department of Automatic Control and Applied Informatics, “Gheorghe Asachi” Technical University of Iasi, Blvd. Mangeron 27, 700050 Iasi, Romania
3
Independent Researcher, 20159 Milan, Italy
4
Department of Automation, Technical University of Cluj-Napoca, Memorandumului Street 28, 400114 Cluj-Napoca, Romania
*
Author to whom correspondence should be addressed.
Formerly with Department of Information Engineering, University of Padova, Via Gradenigo 6, B-35131 Padova, Italy.
Algorithms 2019, 12(5), 102; https://doi.org/10.3390/a12050102
Received: 8 April 2019 / Revised: 4 May 2019 / Accepted: 6 May 2019 / Published: 10 May 2019
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PDF [765 KB, uploaded 10 May 2019]

Abstract

A theoretical framework for determining the dynamics of interacting sub-systems is proposed in this paper. Specifically, a systematic analysis is performed that results in an indication about whether an MP or an NMP dynamics occurs in the analyzed process during operation. The analysis stems from the physical process description and the degree of coupling between sub-systems. The presented methodology is generalized for n sub-systems with sequential interaction (i.e., in which the coupling is unidirectional and occurs between consecutive sub-systems), and the outcome is useful investigation tool prior to the controller design phase. Given the generality of the approach, the theoretical framework is valid for any dynamic process with interacting sub-systems in the context of LTI systems. View Full-Text
Keywords: MP dynamics; NMP dynamics; multivariable process; sequential interacting sub-systems; LTI system; RHP transmission zero MP dynamics; NMP dynamics; multivariable process; sequential interacting sub-systems; LTI system; RHP transmission zero
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Maxim, A.; Ferracuti, R.; Ionescu, C.M. A Theoretical Framework to Determine RHP Zero Dynamics in Sequential Interacting Sub-Systems. Algorithms 2019, 12, 102.

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