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.<\/p>\n
The theoretic results are substantiated by numerous simulations.<\/p>","protected":false},"excerpt":{"rendered":"
Viele technische Prozesse werden durch verkoppelte parabolische partielle Differentialgleichungen beschrieben. Zeitabh\u00e4ngige Charakteristiken, zeitver\u00e4nderliche Ortsbereiche oder die Linearisierung eines Systems entlang einer Solltrajektorie f\u00fchren dabei zu Systemen mit orts- und zeitabh\u00e4ngigen Koeffizienten. F\u00fcr diese Systemklasse mit eindimensionalem Ortsbereich wird die Backstepping-Methode zum Reglerentwurf mit ein- und beidseitigem Randeingriff entwickelt. Zustandsregler und Beobachter sowie der resultierende Ausgangsregler […]<\/p>\n","protected":false},"featured_media":1424,"comment_status":"open","ping_status":"closed","template":"","meta":{"_acf_changed":false},"product_brand":[],"product_cat":[49],"product_tag":[],"class_list":{"0":"post-1423","1":"product","2":"type-product","3":"status-publish","4":"has-post-thumbnail","6":"product_cat-fau-forschungen-reihe-b-medizin-naturwissenschaft-technik","7":"has-post-title","8":"has-post-date","9":"has-post-category","10":"has-post-tag","11":"has-post-comment","12":"has-post-author","13":"","15":"first","16":"instock","17":"taxable","18":"shipping-taxable","19":"purchasable","20":"product-type-simple"},"acf":{"autor":"Kerschbaum, Simon","orcid":"","ror":"","herausgeber":"","orcid_hrsg":"","rorhrsg":"","bearbeiter":"","sonstige_beteiligte_personen":"","untertitel":"","zusatz":"","jahr":"2021","zeitschrift":"","serie":"","serie_name":"","serie_band":"","serie_jahr":"","serie_titel_band":"","vortrage":"","issn":"","isbn":"","isbn13":"978-3-96147-390-8","seiten":"xi, 239","sonstiges":"","band":36,"auflage":"","opus":"","dspace":"15880","e-isbn_pdf":"978-3-96147-391-5","doi":"https:\/\/doi.org\/10.25593\/978-3-96147-391-5","epub":"","e-isbn_epub":"","doi_epub":"","html":"","e-isbn_html":"","doi_html":"","e-isbn_reader":"","doi_reader":"","digibib":"","urn":"urn:nbn:de:bvb:29-opus4-158809","supplementary_material":"","sprache":["Englisch"],"ausgabe":"Softcover","suche":" 9783961473908 9783961473915 ","lizenz":"BY-4","bemerkung":""},"builder_content":"","_links":{"self":[{"href":"https:\/\/www.university-press.fau.de\/en\/wp-json\/wp\/v2\/product\/1423","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.university-press.fau.de\/en\/wp-json\/wp\/v2\/product"}],"about":[{"href":"https:\/\/www.university-press.fau.de\/en\/wp-json\/wp\/v2\/types\/product"}],"replies":[{"embeddable":true,"href":"https:\/\/www.university-press.fau.de\/en\/wp-json\/wp\/v2\/comments?post=1423"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.university-press.fau.de\/en\/wp-json\/wp\/v2\/media\/1424"}],"wp:attachment":[{"href":"https:\/\/www.university-press.fau.de\/en\/wp-json\/wp\/v2\/media?parent=1423"}],"wp:term":[{"taxonomy":"product_brand","embeddable":true,"href":"https:\/\/www.university-press.fau.de\/en\/wp-json\/wp\/v2\/product_brand?post=1423"},{"taxonomy":"product_cat","embeddable":true,"href":"https:\/\/www.university-press.fau.de\/en\/wp-json\/wp\/v2\/product_cat?post=1423"},{"taxonomy":"product_tag","embeddable":true,"href":"https:\/\/www.university-press.fau.de\/en\/wp-json\/wp\/v2\/product_tag?post=1423"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}