Sliding modes time varying matrix identification for stochastic system

A. Poznyak; J. Escobar; Y. Shtessel

doi:10.1080/00207720701620142

Sliding modes time varying matrix identification for stochastic system

A. Poznyak, J. Escobar, Y. Shtessel

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

Abstract

Time varying parameters identification of stochastic systems is addressed via sliding mode parameter observers. Sliding mode observer is governed by control that compensates a so-called Ito's term, which reflects a stochastic nature of a system. The matrix estimation algorithm based on equivalent control is proposed. A numerical example illustrates the effectiveness of the proposed approach.

Original language	English
Pages (from-to)	847-859
Number of pages	13
Journal	International Journal of Systems Science
Volume	38
Issue number	11
DOIs	https://doi.org/10.1080/00207720701620142
State	Published - Jan 2007
Externally published	Yes

Keywords

Observers and differentiators
Parameter identification
Sliding mode controllers
Stochastic systems

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10.1080/00207720701620142

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title = "Sliding modes time varying matrix identification for stochastic system",

abstract = "Time varying parameters identification of stochastic systems is addressed via sliding mode parameter observers. Sliding mode observer is governed by control that compensates a so-called Ito's term, which reflects a stochastic nature of a system. The matrix estimation algorithm based on equivalent control is proposed. A numerical example illustrates the effectiveness of the proposed approach.",

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T1 - Sliding modes time varying matrix identification for stochastic system

AU - Poznyak, A.

AU - Escobar, J.

AU - Shtessel, Y.

PY - 2007/1

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N2 - Time varying parameters identification of stochastic systems is addressed via sliding mode parameter observers. Sliding mode observer is governed by control that compensates a so-called Ito's term, which reflects a stochastic nature of a system. The matrix estimation algorithm based on equivalent control is proposed. A numerical example illustrates the effectiveness of the proposed approach.

AB - Time varying parameters identification of stochastic systems is addressed via sliding mode parameter observers. Sliding mode observer is governed by control that compensates a so-called Ito's term, which reflects a stochastic nature of a system. The matrix estimation algorithm based on equivalent control is proposed. A numerical example illustrates the effectiveness of the proposed approach.

KW - Observers and differentiators

KW - Parameter identification

KW - Sliding mode controllers

KW - Stochastic systems

UR - http://www.scopus.com/inward/record.url?scp=35448942248&partnerID=8YFLogxK

U2 - 10.1080/00207720701620142

DO - 10.1080/00207720701620142

M3 - Artículo

SN - 0020-7721

VL - 38

SP - 847

EP - 859

JO - International Journal of Systems Science

JF - International Journal of Systems Science

IS - 11

ER -

Sliding modes time varying matrix identification for stochastic system

Abstract

Keywords

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