Adaptive control of parabolic PDEs /:
This book introduces a comprehensive methodology for adaptive control design of parabolic partial differential equations with unknown functional parameters, including reaction-convection-diffusion systems ubiquitous in chemical, thermal, biomedical, aerospace, and energy systems. Andrey Smyshlyaev a...
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Princeton :
Princeton University Press,
©2010.
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | This book introduces a comprehensive methodology for adaptive control design of parabolic partial differential equations with unknown functional parameters, including reaction-convection-diffusion systems ubiquitous in chemical, thermal, biomedical, aerospace, and energy systems. Andrey Smyshlyaev and Miroslav Krstic develop explicit feedback laws that do not require real-time solution of Riccati or other algebraic operator-valued equations. The book emphasizes stabilization by boundary control and using boundary sensing for unstable PDE systems with an infinite relative degree. The book also ... |
| Beschreibung: | 1 online resource (xiii, 328 pages) : illustrations |
| Bibliographie: | Includes bibliographical references and index. |
| ISBN: | 9781400835362 1400835364 1282569120 9781282569126 |
Internformat
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| 245 | 1 | 0 | |a Adaptive control of parabolic PDEs / |c Andrey Smyshlyaevand Miroslav Krstic. |
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| 520 | |a This book introduces a comprehensive methodology for adaptive control design of parabolic partial differential equations with unknown functional parameters, including reaction-convection-diffusion systems ubiquitous in chemical, thermal, biomedical, aerospace, and energy systems. Andrey Smyshlyaev and Miroslav Krstic develop explicit feedback laws that do not require real-time solution of Riccati or other algebraic operator-valued equations. The book emphasizes stabilization by boundary control and using boundary sensing for unstable PDE systems with an infinite relative degree. The book also ... | ||
| 504 | |a Includes bibliographical references and index. | ||
| 505 | 0 | |a Introduction -- Nonadaptive controllers. State feedback -- Closed-form controllers -- Observers -- Output feedback -- Control of complex-valued PDEs -- Adaptive schemes. Systemization of approaches to adaptive boundary stabilization of PDEs -- Lyapunov-based designs -- Certainty equivalence design with passive identifiers -- Certainty equivalence design with swapping identifiers -- State feedback for PDEs with spatially varying coefficients -- Closed-form adaptive output-feedback controllers -- Output feedback for PDEs with spatially varying coefficients -- Inverse optimal control -- Appendex A. Adaptive backstepping for nonlinear ODEs -- the basics -- Appendix B. Poincaré and Agmon inequalities -- Appendix C. Bessel functions -- Appendix D. Barbalat's and other lemmas for proving adaptive regulation -- Appendix E. Basic parabolic PDEs and their exact solution. | |
| 588 | 0 | |a Print version record. | |
| 650 | 0 | |a Differential equations, Parabolic. |0 http://id.loc.gov/authorities/subjects/sh85037909 | |
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| 650 | 0 | |a Adaptive control systems. |0 http://id.loc.gov/authorities/subjects/sh85000803 | |
| 650 | 6 | |a Équations différentielles paraboliques. | |
| 650 | 6 | |a Systèmes à paramètres répartis. | |
| 650 | 6 | |a Systèmes adaptatifs. | |
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| 700 | 1 | |a Krstić, Miroslav, |e author. |0 http://id.loc.gov/authorities/names/n95019581 | |
| 758 | |i has work: |a Adaptive control of parabolic PDEs (Text) |1 https://id.oclc.org/worldcat/entity/E39PCGbQB3hhkrqkccGx8t4pRq |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
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Datensatz im Suchindex
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| _version_ | 1816881722229260288 |
| adam_text | |
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| author | Smyshlyaev, Andrey Krstić, Miroslav |
| author_GND | http://id.loc.gov/authorities/names/n2008011079 http://id.loc.gov/authorities/names/n95019581 |
| author_facet | Smyshlyaev, Andrey Krstić, Miroslav |
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| contents | Introduction -- Nonadaptive controllers. State feedback -- Closed-form controllers -- Observers -- Output feedback -- Control of complex-valued PDEs -- Adaptive schemes. Systemization of approaches to adaptive boundary stabilization of PDEs -- Lyapunov-based designs -- Certainty equivalence design with passive identifiers -- Certainty equivalence design with swapping identifiers -- State feedback for PDEs with spatially varying coefficients -- Closed-form adaptive output-feedback controllers -- Output feedback for PDEs with spatially varying coefficients -- Inverse optimal control -- Appendex A. Adaptive backstepping for nonlinear ODEs -- the basics -- Appendix B. Poincaré and Agmon inequalities -- Appendix C. Bessel functions -- Appendix D. Barbalat's and other lemmas for proving adaptive regulation -- Appendix E. Basic parabolic PDEs and their exact solution. |
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| indexdate | 2024-11-27T13:17:14Z |
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| open_access_boolean | |
| owner | MAIN DE-863 DE-BY-FWS |
| owner_facet | MAIN DE-863 DE-BY-FWS |
| physical | 1 online resource (xiii, 328 pages) : illustrations |
| psigel | ZDB-4-EBA |
| publishDate | 2010 |
| publishDateSearch | 2010 |
| publishDateSort | 2010 |
| publisher | Princeton University Press, |
| record_format | marc |
| spelling | Smyshlyaev, Andrey, author. http://id.loc.gov/authorities/names/n2008011079 Adaptive control of parabolic PDEs / Andrey Smyshlyaevand Miroslav Krstic. Princeton : Princeton University Press, ©2010. 1 online resource (xiii, 328 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier data file rda This book introduces a comprehensive methodology for adaptive control design of parabolic partial differential equations with unknown functional parameters, including reaction-convection-diffusion systems ubiquitous in chemical, thermal, biomedical, aerospace, and energy systems. Andrey Smyshlyaev and Miroslav Krstic develop explicit feedback laws that do not require real-time solution of Riccati or other algebraic operator-valued equations. The book emphasizes stabilization by boundary control and using boundary sensing for unstable PDE systems with an infinite relative degree. The book also ... Includes bibliographical references and index. Introduction -- Nonadaptive controllers. State feedback -- Closed-form controllers -- Observers -- Output feedback -- Control of complex-valued PDEs -- Adaptive schemes. Systemization of approaches to adaptive boundary stabilization of PDEs -- Lyapunov-based designs -- Certainty equivalence design with passive identifiers -- Certainty equivalence design with swapping identifiers -- State feedback for PDEs with spatially varying coefficients -- Closed-form adaptive output-feedback controllers -- Output feedback for PDEs with spatially varying coefficients -- Inverse optimal control -- Appendex A. Adaptive backstepping for nonlinear ODEs -- the basics -- Appendix B. Poincaré and Agmon inequalities -- Appendix C. Bessel functions -- Appendix D. Barbalat's and other lemmas for proving adaptive regulation -- Appendix E. Basic parabolic PDEs and their exact solution. Print version record. Differential equations, Parabolic. http://id.loc.gov/authorities/subjects/sh85037909 Distributed parameter systems. http://id.loc.gov/authorities/subjects/sh85038542 Adaptive control systems. http://id.loc.gov/authorities/subjects/sh85000803 Équations différentielles paraboliques. Systèmes à paramètres répartis. Systèmes adaptatifs. MATHEMATICS Differential Equations Partial. bisacsh MATHEMATICS Applied. bisacsh Adaptive control systems fast Differential equations, Parabolic fast Distributed parameter systems fast Krstić, Miroslav, author. http://id.loc.gov/authorities/names/n95019581 has work: Adaptive control of parabolic PDEs (Text) https://id.oclc.org/worldcat/entity/E39PCGbQB3hhkrqkccGx8t4pRq https://id.oclc.org/worldcat/ontology/hasWork Print version: Smyshlyaev, Andrey. Adaptive control of parabolic PDEs. Princeton : Princeton University Press, ©2010 9780691142869 (DLC) 2009048242 (OCoLC)466341418 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=321422 Volltext |
| spellingShingle | Smyshlyaev, Andrey Krstić, Miroslav Adaptive control of parabolic PDEs / Introduction -- Nonadaptive controllers. State feedback -- Closed-form controllers -- Observers -- Output feedback -- Control of complex-valued PDEs -- Adaptive schemes. Systemization of approaches to adaptive boundary stabilization of PDEs -- Lyapunov-based designs -- Certainty equivalence design with passive identifiers -- Certainty equivalence design with swapping identifiers -- State feedback for PDEs with spatially varying coefficients -- Closed-form adaptive output-feedback controllers -- Output feedback for PDEs with spatially varying coefficients -- Inverse optimal control -- Appendex A. Adaptive backstepping for nonlinear ODEs -- the basics -- Appendix B. Poincaré and Agmon inequalities -- Appendix C. Bessel functions -- Appendix D. Barbalat's and other lemmas for proving adaptive regulation -- Appendix E. Basic parabolic PDEs and their exact solution. Differential equations, Parabolic. http://id.loc.gov/authorities/subjects/sh85037909 Distributed parameter systems. http://id.loc.gov/authorities/subjects/sh85038542 Adaptive control systems. http://id.loc.gov/authorities/subjects/sh85000803 Équations différentielles paraboliques. Systèmes à paramètres répartis. Systèmes adaptatifs. MATHEMATICS Differential Equations Partial. bisacsh MATHEMATICS Applied. bisacsh Adaptive control systems fast Differential equations, Parabolic fast Distributed parameter systems fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85037909 http://id.loc.gov/authorities/subjects/sh85038542 http://id.loc.gov/authorities/subjects/sh85000803 |
| title | Adaptive control of parabolic PDEs / |
| title_auth | Adaptive control of parabolic PDEs / |
| title_exact_search | Adaptive control of parabolic PDEs / |
| title_full | Adaptive control of parabolic PDEs / Andrey Smyshlyaevand Miroslav Krstic. |
| title_fullStr | Adaptive control of parabolic PDEs / Andrey Smyshlyaevand Miroslav Krstic. |
| title_full_unstemmed | Adaptive control of parabolic PDEs / Andrey Smyshlyaevand Miroslav Krstic. |
| title_short | Adaptive control of parabolic PDEs / |
| title_sort | adaptive control of parabolic pdes |
| topic | Differential equations, Parabolic. http://id.loc.gov/authorities/subjects/sh85037909 Distributed parameter systems. http://id.loc.gov/authorities/subjects/sh85038542 Adaptive control systems. http://id.loc.gov/authorities/subjects/sh85000803 Équations différentielles paraboliques. Systèmes à paramètres répartis. Systèmes adaptatifs. MATHEMATICS Differential Equations Partial. bisacsh MATHEMATICS Applied. bisacsh Adaptive control systems fast Differential equations, Parabolic fast Distributed parameter systems fast |
| topic_facet | Differential equations, Parabolic. Distributed parameter systems. Adaptive control systems. Équations différentielles paraboliques. Systèmes à paramètres répartis. Systèmes adaptatifs. MATHEMATICS Differential Equations Partial. MATHEMATICS Applied. Adaptive control systems Differential equations, Parabolic Distributed parameter systems |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=321422 |
| work_keys_str_mv | AT smyshlyaevandrey adaptivecontrolofparabolicpdes AT krsticmiroslav adaptivecontrolofparabolicpdes |