In this paper we consider the estimation problem for linear stochastic systems affected by multiple known and time-varying delays on all the output signals. Based on a modification of a previous proposal we prove for the first time the result that a filter based on simple eigenvalue assignment of the closed-loop error system may achieve uniform performance, with respect to the delay bound and estimation variance, in presence of both constant and time-varying delays that are differentiable. A new and simple demonstration technique provides non conservative delay bounds for time-varying delays. A cascaded version of the filter can cope with arbitrarily large delays. (C) 2021 Elsevier Ltd. All rights reserved.

Filtering linear systems with large time-varying measurement delays

Cacace, F
;
Conte, F;
2022-01-01

Abstract

In this paper we consider the estimation problem for linear stochastic systems affected by multiple known and time-varying delays on all the output signals. Based on a modification of a previous proposal we prove for the first time the result that a filter based on simple eigenvalue assignment of the closed-loop error system may achieve uniform performance, with respect to the delay bound and estimation variance, in presence of both constant and time-varying delays that are differentiable. A new and simple demonstration technique provides non conservative delay bounds for time-varying delays. A cascaded version of the filter can cope with arbitrarily large delays. (C) 2021 Elsevier Ltd. All rights reserved.
2022
Time-varying delay; Filtering; Linear systems
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.12610/70003
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