The main objective of this paper is to implement a high-gain “practical” observer with the interval arithmetic in the case of sampled measurements. In order to pursue this objective, two closed-form expressions are proposed to compute certified bounds on the solution of a single-input linear system, with distinct, real, and negative eigenvalues, when both the initial condition and the control input lie in given intervals. Furthermore, it is shown how such formulas can be extended in the case of sampled input measurements. These results are used to design an interval high-gain observer for non-linear systems in observer normal form. In particular, it is shown how to implement a high-gain “practical” observer with the interval arithmetic, both in continuous-time and in discrete-time, so to compute guaranteed interval estimates of the state of the system.

Menini, L., Possieri, C., Tornambe', A. (2021). Design of high-gain observers based on sampled measurements via the interval arithmetic. AUTOMATICA, 131 [10.1016/j.automatica.2021.109741].

Design of high-gain observers based on sampled measurements via the interval arithmetic

Menini L.;Possieri C.;Tornambe' A.
2021-01-01

Abstract

The main objective of this paper is to implement a high-gain “practical” observer with the interval arithmetic in the case of sampled measurements. In order to pursue this objective, two closed-form expressions are proposed to compute certified bounds on the solution of a single-input linear system, with distinct, real, and negative eigenvalues, when both the initial condition and the control input lie in given intervals. Furthermore, it is shown how such formulas can be extended in the case of sampled input measurements. These results are used to design an interval high-gain observer for non-linear systems in observer normal form. In particular, it is shown how to implement a high-gain “practical” observer with the interval arithmetic, both in continuous-time and in discrete-time, so to compute guaranteed interval estimates of the state of the system.
2021
Pubblicato
Rilevanza internazionale
Articolo
Esperti anonimi
Settore ING-INF/04 - AUTOMATICA
English
Discretization
Intervals
Linear control systems
Observers
State estimation
Menini, L., Possieri, C., Tornambe', A. (2021). Design of high-gain observers based on sampled measurements via the interval arithmetic. AUTOMATICA, 131 [10.1016/j.automatica.2021.109741].
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/2108/294486
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