Backstepping Control of Coupled Parabolic Systems with Varying Parameters
Many technical processes are described by coupled parabolic partial differential equations. Time dependent characteristics, time-varying spatial domains or the linearization of a system around a desired trajectory result in systems with space and time dependent coefficients. The backstepping control...
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| Автор: | |
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| Формат: | Online |
| Мова: | Англійська |
| Опубліковано: |
FAU University Press
2025
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| Предмети: | |
| Онлайн доступ: | ONIX_20250828T094736_9783961473915_22 |
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| _version_ | 1869514272551206912 |
|---|---|
| author | Kerschbaum, Simon |
| author_browse | Kerschbaum, Simon |
| author_facet | Kerschbaum, Simon |
| author_sort | Kerschbaum, Simon |
| collection | Directory of Open Access Books |
| description | Many technical processes are described by coupled parabolic partial differential equations. Time dependent characteristics, time-varying spatial domains or the linearization of a system around a desired trajectory result in systems with space and time dependent coefficients. The backstepping control design method is developed for this system class on one-dimensional spatial domains and actuation at one or both boundaries of the domain. State feedback controller, observer and the resulting output feedback controller are determined by a constructive design method allowing to achieve uniform exponential stability with an assignable stability margin. The theoretic results are substantiated by numerous simulations. |
| format | Online |
| id | doab-20.500.12854ir-166252 |
| 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-1662522025-10-16T12:39:43Z Backstepping Control of Coupled Parabolic Systems with Varying Parameters Kerschbaum, Simon parabolic systems Differentialgleichung boundary control time varying systems Distributed parameter systems coupled PDEs Regelung Zeitvariantes System thema EDItEUR::T Technology, Engineering, Agriculture, Industrial processes::TJ Electronics and communications engineering::TJF Electronics engineering::TJFM Automatic control engineering Many technical processes are described by coupled parabolic partial differential equations. Time dependent characteristics, time-varying spatial domains or the linearization of a system around a desired trajectory result in systems with space and time dependent coefficients. The backstepping control design method is developed for this system class on one-dimensional spatial domains and actuation at one or both boundaries of the domain. State feedback controller, observer and the resulting output feedback controller are determined by a constructive design method allowing to achieve uniform exponential stability with an assignable stability margin. The theoretic results are substantiated by numerous simulations. 2025-08-29T05:04:53Z 2025-08-29T05:04:53Z 2025-08-28T07:59:11Z 2021 book ONIX_20250828T094736_9783961473915_22 https://library.oapen.org/handle/20.500.12657/105778 9783961473915 9783961473908 https://directory.doabooks.org/handle/20.500.12854/166252 eng FAU Forschungen : Reihe B open access image/jpeg image/jpeg n/a n/a https://library.oapen.org/bitstream/20.500.12657/105778/1/9783961473915.pdf https://library.oapen.org/bitstream/20.500.12657/105778/1/9783961473915.pdf FAU University Press 10.25593/978-3-96147-391-5 10.25593/978-3-96147-391-5 2c600dea-eece-4066-87be-da335e323fdb 9783961473915 9783961473908 AG Universitätsverlage 239 Erlangen open access |
| spellingShingle | parabolic systems Differentialgleichung boundary control time varying systems Distributed parameter systems coupled PDEs Regelung Zeitvariantes System thema EDItEUR::T Technology, Engineering, Agriculture, Industrial processes::TJ Electronics and communications engineering::TJF Electronics engineering::TJFM Automatic control engineering Kerschbaum, Simon Backstepping Control of Coupled Parabolic Systems with Varying Parameters |
| title | Backstepping Control of Coupled Parabolic Systems with Varying Parameters |
| title_full | Backstepping Control of Coupled Parabolic Systems with Varying Parameters |
| title_fullStr | Backstepping Control of Coupled Parabolic Systems with Varying Parameters |
| title_full_unstemmed | Backstepping Control of Coupled Parabolic Systems with Varying Parameters |
| title_short | Backstepping Control of Coupled Parabolic Systems with Varying Parameters |
| title_sort | backstepping control of coupled parabolic systems with varying parameters |
| topic | parabolic systems Differentialgleichung boundary control time varying systems Distributed parameter systems coupled PDEs Regelung Zeitvariantes System thema EDItEUR::T Technology, Engineering, Agriculture, Industrial processes::TJ Electronics and communications engineering::TJF Electronics engineering::TJFM Automatic control engineering |
| topic_facet | parabolic systems Differentialgleichung boundary control time varying systems Distributed parameter systems coupled PDEs Regelung Zeitvariantes System thema EDItEUR::T Technology, Engineering, Agriculture, Industrial processes::TJ Electronics and communications engineering::TJF Electronics engineering::TJFM Automatic control engineering |
| url | ONIX_20250828T094736_9783961473915_22 |
| work_keys_str_mv | AT kerschbaumsimon backsteppingcontrolofcoupledparabolicsystemswithvaryingparameters |