A Theoretical Framework to Determine RHP Zero Dynamics in Sequential Interacting Sub-Systems
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 th...
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MDPI AG
2019-05-01
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| Series: | Algorithms |
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| Online Access: | https://www.mdpi.com/1999-4893/12/5/102 |
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doaj-29720033bdf74a6780153b888803d2102020-11-25T01:30:20ZengMDPI AGAlgorithms1999-48932019-05-0112510210.3390/a12050102a12050102A Theoretical Framework to Determine RHP Zero Dynamics in Sequential Interacting Sub-SystemsAnca Maxim0Riccardo Ferracuti1Clara M. Ionescu2DySC Research Group on Dynamical Systems and Control, Department of Electrical Energy, Metals, Mechanical Constructions and Systems, Ghent University, Technologiepark 125, B-9052 Ghent, BelgiumIndependent Researcher, 20159 Milan, ItalyDySC Research Group on Dynamical Systems and Control, Department of Electrical Energy, Metals, Mechanical Constructions and Systems, Ghent University, Technologiepark 125, B-9052 Ghent, BelgiumA 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 <i>n</i> 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.https://www.mdpi.com/1999-4893/12/5/102MP dynamicsNMP dynamicsmultivariable processsequential interacting sub-systemsLTI systemRHP transmission zero |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Anca Maxim Riccardo Ferracuti Clara M. Ionescu |
| spellingShingle |
Anca Maxim Riccardo Ferracuti Clara M. Ionescu A Theoretical Framework to Determine RHP Zero Dynamics in Sequential Interacting Sub-Systems Algorithms MP dynamics NMP dynamics multivariable process sequential interacting sub-systems LTI system RHP transmission zero |
| author_facet |
Anca Maxim Riccardo Ferracuti Clara M. Ionescu |
| author_sort |
Anca Maxim |
| title |
A Theoretical Framework to Determine RHP Zero Dynamics in Sequential Interacting Sub-Systems |
| title_short |
A Theoretical Framework to Determine RHP Zero Dynamics in Sequential Interacting Sub-Systems |
| title_full |
A Theoretical Framework to Determine RHP Zero Dynamics in Sequential Interacting Sub-Systems |
| title_fullStr |
A Theoretical Framework to Determine RHP Zero Dynamics in Sequential Interacting Sub-Systems |
| title_full_unstemmed |
A Theoretical Framework to Determine RHP Zero Dynamics in Sequential Interacting Sub-Systems |
| title_sort |
theoretical framework to determine rhp zero dynamics in sequential interacting sub-systems |
| publisher |
MDPI AG |
| series |
Algorithms |
| issn |
1999-4893 |
| publishDate |
2019-05-01 |
| description |
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 <i>n</i> 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. |
| topic |
MP dynamics NMP dynamics multivariable process sequential interacting sub-systems LTI system RHP transmission zero |
| url |
https://www.mdpi.com/1999-4893/12/5/102 |
| work_keys_str_mv |
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1725092075908628480 |