The main objective of this paper is to provide computational methods allowing one to characterize the observability of a class of systems having discontinuous righthand side. In order to pursue this objective, it is first shown how tools borrowed from algebraic geometry can be used to characterize the observability of polynomial systems. Thus, by considering that elementary systems can be recast into polynomial form and that several systems having discontinuous right-hand side can be approximated by a 1-parameter family of elementary systems, such tools are adapted to deal with a class of elementary systems having discontinuous right-hand side. The key advantage of the proposed method is that it allows one to use classical tools, such as high-gain observers, to design state observers for systems having discontinuous right-hand side.

Menini, L., Possieri, C., Tornambe, A. (2019). Observability analysis of discontinuous dynamical systems via algebraic geometry. In 2019 18th European Control Conference, ECC 2019 (pp.2350-2355). Institute of Electrical and Electronics Engineers Inc. [10.23919/ECC.2019.8796066].

Observability analysis of discontinuous dynamical systems via algebraic geometry

Menini L.;Possieri C.;Tornambe A.
2019

Abstract

The main objective of this paper is to provide computational methods allowing one to characterize the observability of a class of systems having discontinuous righthand side. In order to pursue this objective, it is first shown how tools borrowed from algebraic geometry can be used to characterize the observability of polynomial systems. Thus, by considering that elementary systems can be recast into polynomial form and that several systems having discontinuous right-hand side can be approximated by a 1-parameter family of elementary systems, such tools are adapted to deal with a class of elementary systems having discontinuous right-hand side. The key advantage of the proposed method is that it allows one to use classical tools, such as high-gain observers, to design state observers for systems having discontinuous right-hand side.
18th European Control Conference, ECC 2019
ita
2019
European Control Assoication (EUCA)
Rilevanza internazionale
Settore ING-INF/04 - Automatica
English
http://ieeexplore.ieee.org/xpl/mostRecentIssue.jsp?punumber=8778424
Intervento a convegno
Menini, L., Possieri, C., Tornambe, A. (2019). Observability analysis of discontinuous dynamical systems via algebraic geometry. In 2019 18th European Control Conference, ECC 2019 (pp.2350-2355). Institute of Electrical and Electronics Engineers Inc. [10.23919/ECC.2019.8796066].
Menini, L; Possieri, C; Tornambe, A
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/219919
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