Sliding mode identification and control for linear uncertain stochastic systems

Michael Basin; Alejandra Ferreira; Leonid Fridman

doi:10.1109/cdc.2006.377075

Sliding mode identification and control for linear uncertain stochastic systems

Michael Basin, Alejandra Ferreira, Leonid Fridman

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

1 Scopus citations

Abstract

This paper presents the integral sliding mode technique applied to identifying disturbances and robustifying the optimal linear quadratic Gaussian (LQG) controller for linear uncertain stochastic systems, which is compared to the conventional sliding mode approach. The obtained identifier/controller provides a method for estimating uncertainty values and ensures robustness of the system against perturbations throughout the entire response starting from the initial time instant. Numerical simulations illustrating the obtained results are given for the inverted pendulum system.

Original language	English
Title of host publication	Proceedings of the 45th IEEE Conference on Decision and Control 2006, CDC
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	1339-1344
Number of pages	6
ISBN (Print)	1424401712, 9781424401710
DOIs	https://doi.org/10.1109/cdc.2006.377075
State	Published - 2006
Externally published	Yes
Event	45th IEEE Conference on Decision and Control 2006, CDC - San Diego, CA, United States Duration: 13 Dec 2006 → 15 Dec 2006

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
ISSN (Print)	0743-1546
ISSN (Electronic)	2576-2370

Conference

Conference	45th IEEE Conference on Decision and Control 2006, CDC
Country/Territory	United States
City	San Diego, CA
Period	13/12/06 → 15/12/06

Access to Document

10.1109/cdc.2006.377075

Cite this

Basin, M., Ferreira, A., & Fridman, L. (2006). Sliding mode identification and control for linear uncertain stochastic systems. In Proceedings of the 45th IEEE Conference on Decision and Control 2006, CDC (pp. 1339-1344). Article 4177689 (Proceedings of the IEEE Conference on Decision and Control). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/cdc.2006.377075

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title = "Sliding mode identification and control for linear uncertain stochastic systems",

abstract = "This paper presents the integral sliding mode technique applied to identifying disturbances and robustifying the optimal linear quadratic Gaussian (LQG) controller for linear uncertain stochastic systems, which is compared to the conventional sliding mode approach. The obtained identifier/controller provides a method for estimating uncertainty values and ensures robustness of the system against perturbations throughout the entire response starting from the initial time instant. Numerical simulations illustrating the obtained results are given for the inverted pendulum system.",

author = "Michael Basin and Alejandra Ferreira and Leonid Fridman",

note = "Funding Information: This research has made use of the SIMBAD data base, operated at CDS, Strasbourg, France. This work has made use of data from the European Space Agency (ESA) mission Gaia (http://www. cosmos.esa.int/gaia), processed by the Gaia Data Processing and Analysis Consortium (DPAC, http://www.cosmos.esa.int/ web/gaia/dpac/consortium). Funding for the DPAC has been provided by national institutions, in particular the institutions participating in the Gaia Multilateral Agreement.; 45th IEEE Conference on Decision and Control 2006, CDC ; Conference date: 13-12-2006 Through 15-12-2006",

year = "2006",

doi = "10.1109/cdc.2006.377075",

language = "Ingl{\'e}s",

isbn = "1424401712",

series = "Proceedings of the IEEE Conference on Decision and Control",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

pages = "1339--1344",

booktitle = "Proceedings of the 45th IEEE Conference on Decision and Control 2006, CDC",

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Basin, M, Ferreira, A & Fridman, L 2006, Sliding mode identification and control for linear uncertain stochastic systems. in Proceedings of the 45th IEEE Conference on Decision and Control 2006, CDC., 4177689, Proceedings of the IEEE Conference on Decision and Control, Institute of Electrical and Electronics Engineers Inc., pp. 1339-1344, 45th IEEE Conference on Decision and Control 2006, CDC, San Diego, CA, United States, 13/12/06. https://doi.org/10.1109/cdc.2006.377075

Sliding mode identification and control for linear uncertain stochastic systems. / Basin, Michael; Ferreira, Alejandra; Fridman, Leonid.
Proceedings of the 45th IEEE Conference on Decision and Control 2006, CDC. Institute of Electrical and Electronics Engineers Inc., 2006. p. 1339-1344 4177689 (Proceedings of the IEEE Conference on Decision and Control).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - Sliding mode identification and control for linear uncertain stochastic systems

AU - Basin, Michael

AU - Ferreira, Alejandra

AU - Fridman, Leonid

N1 - Funding Information: This research has made use of the SIMBAD data base, operated at CDS, Strasbourg, France. This work has made use of data from the European Space Agency (ESA) mission Gaia (http://www. cosmos.esa.int/gaia), processed by the Gaia Data Processing and Analysis Consortium (DPAC, http://www.cosmos.esa.int/ web/gaia/dpac/consortium). Funding for the DPAC has been provided by national institutions, in particular the institutions participating in the Gaia Multilateral Agreement.

PY - 2006

Y1 - 2006

N2 - This paper presents the integral sliding mode technique applied to identifying disturbances and robustifying the optimal linear quadratic Gaussian (LQG) controller for linear uncertain stochastic systems, which is compared to the conventional sliding mode approach. The obtained identifier/controller provides a method for estimating uncertainty values and ensures robustness of the system against perturbations throughout the entire response starting from the initial time instant. Numerical simulations illustrating the obtained results are given for the inverted pendulum system.

AB - This paper presents the integral sliding mode technique applied to identifying disturbances and robustifying the optimal linear quadratic Gaussian (LQG) controller for linear uncertain stochastic systems, which is compared to the conventional sliding mode approach. The obtained identifier/controller provides a method for estimating uncertainty values and ensures robustness of the system against perturbations throughout the entire response starting from the initial time instant. Numerical simulations illustrating the obtained results are given for the inverted pendulum system.

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DO - 10.1109/cdc.2006.377075

M3 - Contribución a la conferencia

AN - SCOPUS:39649093595

SN - 1424401712

SN - 9781424401710

T3 - Proceedings of the IEEE Conference on Decision and Control

SP - 1339

EP - 1344

BT - Proceedings of the 45th IEEE Conference on Decision and Control 2006, CDC

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 45th IEEE Conference on Decision and Control 2006, CDC

Y2 - 13 December 2006 through 15 December 2006

ER -

Sliding mode identification and control for linear uncertain stochastic systems

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