Υβριδικοί Dead-Beat Παρατηρητές για Μη Γραμμικά Συστήματα

Κίτσος, Κωνσταντίνος; Kitsos, Konstantinos

dc.contributor.author	Κίτσος, Κωνσταντίνος	el
dc.contributor.author	Kitsos, Konstantinos
dc.date.accessioned	2017-03-01T08:44:41Z
dc.date.available	2017-03-01T08:44:41Z
dc.date.issued	2017-03-01
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/44466
dc.identifier.uri	http://dx.doi.org/10.26240/heal.ntua.6971
dc.description	Εθνικό Μετσόβιο Πολυτεχνείο--Μεταπτυχιακή Εργασία. Διεπιστημονικό-Διατμηματικό Πρόγραμμα Μεταπτυχιακών Σπουδών (Δ.Π.Μ.Σ.) “Εφαρμοσμένες Μαθηματικές Επιστήμες”	en
dc.rights	Default License
dc.subject	Σχεδίαση Παρατηρητή	el
dc.subject	Μη Γραμμικοί Παρατηρητές	en
dc.subject	Υβριδικοί Παρατηρητές
dc.subject	Θεωρία Σταθερού Σημείου
dc.subject	Observer Design
dc.subject	Nonlinear Observers
dc.subject	Hybrid Observers
dc.subject	Fixed Point Theory
dc.title	Υβριδικοί Dead-Beat Παρατηρητές για Μη Γραμμικά Συστήματα	el
dc.title	Hybrid Dead-Beat Observers for Nonlinear Systems	en
heal.type	masterThesis
heal.classification	Εφαρμοσμένα Μαθηματικά	el
heal.language	el
heal.access	free
heal.recordProvider	ntua	el
heal.publicationDate	2016-10-31
heal.abstract	The main purpose of the present work is to provide a specific approach on the (state) Observer problem for general classes of nonlinear systems. Observer design is a fundamental area in mathematical control theory. In general, it concerns the estimation of the internal unmeasured states of a control system using the information provided by inputs and outputs. There is a great amount of literature concerned with the notion of Observability and Observer design and, specifically for nonlinear systems, a variety of mathematical techniques has been developed. This thesis aims at constructing nonlinear Observers with hybrid performance that estimate the unmeasured state components in finite time, namely, dead-beat Observers. A previous work in hybrid dead-beat Observers has already been done and it is analytically presented in Chapter 2. In the present thesis, these Observers are extended for general classes of nonlinear systems and these results are presented in Chapters 3 and 4. More specifically, the systems approached in Chapter 2 are cited as linear in the unmeasured state components. Systems we extend to in Chapter 3 possess a linear and an additional nonlinear in the unmeasured state part, while their output has a linear in the unmeasured state performance. In Chapter 4, the aforementioned systems are extended furthermore and include systems whose first part is quasi-linear and also possess an additional full nonlinearity, while their measured output is quasi-linear in the unknown state. In Chapter 2, the results rely on a strong observability hypothesis which is derived from an observability Gramian invertibility. The corresponding Observer system which is dead-beat, exploits the information acquired by the inputs and outputs which are fed as delayed signals. Also, a robustness result, concerning the proposed Observer, is presented. The finite time estimation of the unknown states in Chapter 3 and 4 relies firstly on a Persistence of Excitation hypothesis for their linear and quasi-linear parts respectively and secondly on appropriate inequalities which provide conditions under which the unknown state can be reconstructed. The latter hypotheses use tools from Nonlinear Analysis, specifically Fixed Point Theory and these are essential to construct the unknown state component in finite time. Examples which illustrate the implementation of the techniques are included in Chapters 3 and 4. All mathematical tools that are utilized throughout the thesis, along with some preliminaries from Mathematical Control Theory, are extensively presented in Chapter 1.	en
heal.advisorName	Τσινιάς, Ιωάννης	el
heal.committeeMemberName	Χαραλαμπόπουλος, Αντώνιος	el
heal.committeeMemberName	Καραφύλλης, Ιάσων	el
heal.academicPublisher	Εθνικό Μετσόβιο Πολυτεχνείο. Σχολή Εφαρμοσμένων Μαθηματικών και Φυσικών Επιστημών	el
heal.academicPublisherID	ntua
heal.numberOfPages	87 σ.	en
heal.fullTextAvailability	true