This work presents an algebraic approach to fault diagnosis for robots, utilizing polynomial approximation to detect and identify faults in real time based solely on measurement data. Two distinct fault types are considered: unknown signal faults and state transition faults, each addressed with dedicated procedures. The method takes external disturbances, parameter uncertainties, quantization effects, and numerical errors into account. Analytical expressions for error bounds and systematic rules for the selection of design parameters are derived to support practical implementation. The approach does not rely on full state reconstruction or detailed observer structures, but instead evaluates differential-algebraic expressions using the polynomial approximation operator. The proposed framework is validated through extensive simulations and experimental studies on industrial robot platforms, including the application to industrial robots. Furthermore, an extension to general nonlinear systems is presented, demonstrating the broader applicability of the method beyond rigid-body dynamics. The results contribute to the development of robust, model-based fault diagnosis methods suitable for integration into robotic systems with functional safety requirements.<\/p>","protected":false},"excerpt":{"rendered":"
Diese Arbeit pr\u00e4sentiert einen algebraischen Ansatz zur Fehlerdiagnose f\u00fcr Roboter, bei dem polynomiale Approximation genutzt wird, um Fehler in Echtzeit ausschlie\u00dflich auf der Grundlage von Messdaten zu erkennen und zu identifizieren. Es werden zwei unterschiedliche Fehlertypen betrachtet: unbekannte Signalfehler und Zustands\u00fcbergangsfehler, die jeweils mit speziellen Verfahren behandelt werden. Die Methode ber\u00fccksichtigt externe St\u00f6rungen, Parameterunsicherheiten, Quantisierungseffekte […]<\/p>\n","protected":false},"featured_media":6410,"comment_status":"open","ping_status":"closed","template":"","meta":{"_acf_changed":false},"product_brand":[],"product_cat":[53],"product_tag":[],"class_list":{"0":"post-6408","1":"product","2":"type-product","3":"status-publish","4":"has-post-thumbnail","6":"product_cat-fau-studien-aus-der-elektrotechnik","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":"Lomakin, Alexander","orcid":"0000-0001-8617-5116","ror":"00f7hpc57","herausgeber":"","orcid_hrsg":"","rorhrsg":"","bearbeiter":"","sonstige_beteiligte_personen":"","untertitel":"","zusatz":"","jahr":"2025","zeitschrift":"","serie":"","serie_name":false,"serie_band":"","serie_jahr":"","serie_titel_band":"","vortrage":"","issn":"","isbn":"","isbn13":"978-3-96147-866-8","seiten":"x, 148","sonstiges":"","band":31,"auflage":"","opus":"","dspace":"38871","e-isbn_pdf":"978-3-96147-867-5","doi":"https:\/\/doi.org\/10.25593\/978-3-96147-867-5","epub":"","e-isbn_epub":"","doi_epub":"","html":"","e-isbn_html":"","doi_html":"","e-isbn_reader":"","doi_reader":"","digibib":"","urn":"","supplementary_material":"","sprache":["Englisch"],"ausgabe":"Softcover","suche":" 9783961478668 9783961478675 ","lizenz":"BY-4","bemerkung":"1\tFAU Press\r\n1\tHB\r\n4\tBSB \/ DNB\r\n1\tTNZB\r\n1\tTIB\r\n"},"builder_content":"","_links":{"self":[{"href":"https:\/\/www.university-press.fau.de\/en\/wp-json\/wp\/v2\/product\/6408","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=6408"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.university-press.fau.de\/en\/wp-json\/wp\/v2\/media\/6410"}],"wp:attachment":[{"href":"https:\/\/www.university-press.fau.de\/en\/wp-json\/wp\/v2\/media?parent=6408"}],"wp:term":[{"taxonomy":"product_brand","embeddable":true,"href":"https:\/\/www.university-press.fau.de\/en\/wp-json\/wp\/v2\/product_brand?post=6408"},{"taxonomy":"product_cat","embeddable":true,"href":"https:\/\/www.university-press.fau.de\/en\/wp-json\/wp\/v2\/product_cat?post=6408"},{"taxonomy":"product_tag","embeddable":true,"href":"https:\/\/www.university-press.fau.de\/en\/wp-json\/wp\/v2\/product_tag?post=6408"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}