The goal of this paper is to apply some concepts and techniques from algebraic geometry to study the observability of nonlinear continuous-time polynomial systems. After deriving some new results for observability and embeddings, it is shown how to use such concepts to easily design high-gain observers. The proposed technique is illustrated by an application to the well known Rossler oscillator.

Menini, L., Tornambe', A. (2014). On the use of algebraic geometry for the design of high-gain observers for continuous-time polynomial systems. In Proceedings of the 19th IFAC World Congress, 2014 (pp.43-48). Boje, Edward, Xia, Xiaohua [10.3182/20140824-6-ZA-1003.01206].

On the use of algebraic geometry for the design of high-gain observers for continuous-time polynomial systems

MENINI, LAURA;TORNAMBE', ANTONIO
2014-08-24

Abstract

The goal of this paper is to apply some concepts and techniques from algebraic geometry to study the observability of nonlinear continuous-time polynomial systems. After deriving some new results for observability and embeddings, it is shown how to use such concepts to easily design high-gain observers. The proposed technique is illustrated by an application to the well known Rossler oscillator.
19th World Congress The International Federation of Automatic Control (IFAC)
Cape Town, South Africa
2014
19
The International Federation of Automatic Control (IFAC)
Rilevanza internazionale
contributo
24-ago-2014
Settore ING-INF/04 - AUTOMATICA
English
Algebraic geometry; observability; high-gain observers; Rossler oscillator.
Intervento a convegno
Menini, L., Tornambe', A. (2014). On the use of algebraic geometry for the design of high-gain observers for continuous-time polynomial systems. In Proceedings of the 19th IFAC World Congress, 2014 (pp.43-48). Boje, Edward, Xia, Xiaohua [10.3182/20140824-6-ZA-1003.01206].
Menini, L; Tornambe', A
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/113096
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