Unknown Input Observers for Hybrid Linear Systems with State Jumps. Issue 1 (July 2017)

• Record Type: Journal Article
• Authors: Conte, G.; Perdon, A.M.; Zattoni, E.
• Is Part Of: IFAC-PapersOnLine. Volume 50:Issue 1(2017)
• Page Start: 6458
• Page End: 6464
• Publication Date: 2017-07
• Subjects: Unknown input -- state observer -- hybrid systems -- stability -- geometric methods; Automatic control -- Periodicals; 629.805
• DOI: 10.1016/j.ifacol.2017.08.1041
• Languages: English
• ISSNs: 2405-8963

Abstract

Abstract: This paper investigates the problem of constructing an observer that asymptotically estimates a linear function of the state of a linear plant with state jumps in the presence of unknown inputs. Suitable geometric notions are introduced and discussed in order to deal with this problem. A complete characterization of its solvability, together with a procedure for constructing the observer, is given in geometric terms. A sufficient solvability condition that can be practically checked by a simple procedure is also illustrated. Under mildly restrictive hypothesis, the necessary and sufficient solvability conditions can be practically checked and the observer can be practically constructed.