Early-Lumping Based Controller Synthesis for Linear Infinite-Dimensional Systems
Controllers for systems with spatially distributed parameters are often designed on the basis of an approximation model. Doing so, the neglected system dynamics might have a negative impact on the closed-loop behavior. This dissertation presents several approaches to deal with this undesired effect...
I tiakina i:
| Kaituhi matua: | |
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| Hōputu: | Online |
| Reo: | Ingarihi |
| I whakaputaina: |
FAU University Press
2025
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| Ngā marau: | |
| Urunga tuihono: | ONIX_20250828T094736_9783944057149_11 |
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Kāore He Tūtohu, Me noho koe te mea tuatahi ki te tūtohu i tēnei pūkete!
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| _version_ | 1869521987328540672 |
|---|---|
| author | Harkort, Christian |
| author_browse | Harkort, Christian |
| author_facet | Harkort, Christian |
| author_sort | Harkort, Christian |
| collection | Directory of Open Access Books |
| description | Controllers for systems with spatially distributed parameters are often designed on the basis of an approximation model. Doing so, the neglected system dynamics might have a negative impact on the closed-loop behavior. This dissertation presents several approaches to deal with this undesired effect in a systematic way. These address continuous-time as well as discrete-time compensators with particular low order. The considered system class covers a variety of linear parabolic, hyperbolic, and biharmonic systems with spatially distributed inputs and outputs, as well as a class of time-delay systems. The dynamics of these systems and the closed-loop behavior are represented on the basis of state space models. The applied functional analytic tools are explained in detail. |
| format | Online |
| id | doab-20.500.12854ir-166244 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2025 |
| publishDateRange | 2025 |
| publishDateSort | 2025 |
| publisher | FAU University Press |
| publisherStr | FAU University Press |
| record_format | ojs |
| spelling | doab-20.500.12854ir-1662442025-10-16T12:23:27Z Early-Lumping Based Controller Synthesis for Linear Infinite-Dimensional Systems Harkort, Christian early-lumping-Ansatz spillover-Reduktion Elektrische Regelungstechnik thema EDItEUR::T Technology, Engineering, Agriculture, Industrial processes::TB Technology: general issues Controllers for systems with spatially distributed parameters are often designed on the basis of an approximation model. Doing so, the neglected system dynamics might have a negative impact on the closed-loop behavior. This dissertation presents several approaches to deal with this undesired effect in a systematic way. These address continuous-time as well as discrete-time compensators with particular low order. The considered system class covers a variety of linear parabolic, hyperbolic, and biharmonic systems with spatially distributed inputs and outputs, as well as a class of time-delay systems. The dynamics of these systems and the closed-loop behavior are represented on the basis of state space models. The applied functional analytic tools are explained in detail. 2025-08-29T05:02:30Z 2025-08-29T05:02:30Z 2025-08-28T07:58:42Z 2014 book ONIX_20250828T094736_9783944057149_11 https://library.oapen.org/handle/20.500.12657/105767 9783944057149 https://directory.doabooks.org/handle/20.500.12854/166244 eng FAU Forschungen : Reihe B open access image/jpeg image/jpeg n/a n/a https://library.oapen.org/bitstream/20.500.12657/105767/1/9783944057149.pdf https://library.oapen.org/bitstream/20.500.12657/105767/1/9783944057149.pdf FAU University Press 2c600dea-eece-4066-87be-da335e323fdb 9783944057149 AG Universitätsverlage 233 Erlangen open access |
| spellingShingle | early-lumping-Ansatz spillover-Reduktion Elektrische Regelungstechnik thema EDItEUR::T Technology, Engineering, Agriculture, Industrial processes::TB Technology: general issues Harkort, Christian Early-Lumping Based Controller Synthesis for Linear Infinite-Dimensional Systems |
| title | Early-Lumping Based Controller Synthesis for Linear Infinite-Dimensional Systems |
| title_full | Early-Lumping Based Controller Synthesis for Linear Infinite-Dimensional Systems |
| title_fullStr | Early-Lumping Based Controller Synthesis for Linear Infinite-Dimensional Systems |
| title_full_unstemmed | Early-Lumping Based Controller Synthesis for Linear Infinite-Dimensional Systems |
| title_short | Early-Lumping Based Controller Synthesis for Linear Infinite-Dimensional Systems |
| title_sort | early lumping based controller synthesis for linear infinite dimensional systems |
| topic | early-lumping-Ansatz spillover-Reduktion Elektrische Regelungstechnik thema EDItEUR::T Technology, Engineering, Agriculture, Industrial processes::TB Technology: general issues |
| topic_facet | early-lumping-Ansatz spillover-Reduktion Elektrische Regelungstechnik thema EDItEUR::T Technology, Engineering, Agriculture, Industrial processes::TB Technology: general issues |
| url | ONIX_20250828T094736_9783944057149_11 |
| work_keys_str_mv | AT harkortchristian earlylumpingbasedcontrollersynthesisforlinearinfinitedimensionalsystems |