LQG-robust sliding mode control for linear stochastic systems with uncertainties

Michael Basin; Alejandra Ferreira; Leonid Fridman

doi:10.1109/VSS.2006.1644496

LQG-robust sliding mode control for linear stochastic systems with uncertainties

Michael Basin, Alejandra Ferreira, Leonid Fridman

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

5 Scopus citations

Abstract

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

Original language	English
Title of host publication	Proceedings of the 2006 International Workshop on Variable Structure Systems, VSS'06
Pages	74-79
Number of pages	6
DOIs	https://doi.org/10.1109/VSS.2006.1644496
State	Published - 2006
Externally published	Yes
Event	2006 International Workshop on Variable Structure Systems, VSS'06 - Alghero, Italy Duration: 5 Jun 2006 → 7 Jun 2006

Publication series

Name	Proceedings of the 2006 International Workshop on Variable Structure Systems, VSS'06
Volume	2006

Conference

Conference	2006 International Workshop on Variable Structure Systems, VSS'06
Country/Territory	Italy
City	Alghero
Period	5/06/06 → 7/06/06

Access to Document

10.1109/VSS.2006.1644496

Cite this

Basin, M., Ferreira, A., & Fridman, L. (2006). LQG-robust sliding mode control for linear stochastic systems with uncertainties. In Proceedings of the 2006 International Workshop on Variable Structure Systems, VSS'06 (pp. 74-79). Article 1644496 (Proceedings of the 2006 International Workshop on Variable Structure Systems, VSS'06; Vol. 2006). https://doi.org/10.1109/VSS.2006.1644496

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title = "LQG-robust sliding mode control for linear stochastic systems with uncertainties",

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

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

year = "2006",

doi = "10.1109/VSS.2006.1644496",

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

isbn = "1424402085",

series = "Proceedings of the 2006 International Workshop on Variable Structure Systems, VSS'06",

pages = "74--79",

booktitle = "Proceedings of the 2006 International Workshop on Variable Structure Systems, VSS'06",

note = "2006 International Workshop on Variable Structure Systems, VSS'06 ; Conference date: 05-06-2006 Through 07-06-2006",

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Basin, M, Ferreira, A & Fridman, L 2006, LQG-robust sliding mode control for linear stochastic systems with uncertainties. in Proceedings of the 2006 International Workshop on Variable Structure Systems, VSS'06., 1644496, Proceedings of the 2006 International Workshop on Variable Structure Systems, VSS'06, vol. 2006, pp. 74-79, 2006 International Workshop on Variable Structure Systems, VSS'06, Alghero, Italy, 5/06/06. https://doi.org/10.1109/VSS.2006.1644496

LQG-robust sliding mode control for linear stochastic systems with uncertainties. / Basin, Michael; Ferreira, Alejandra; Fridman, Leonid.
Proceedings of the 2006 International Workshop on Variable Structure Systems, VSS'06. 2006. p. 74-79 1644496 (Proceedings of the 2006 International Workshop on Variable Structure Systems, VSS'06; Vol. 2006).

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

TY - GEN

T1 - LQG-robust sliding mode control for linear stochastic systems with uncertainties

AU - Basin, Michael

AU - Ferreira, Alejandra

AU - Fridman, Leonid

PY - 2006

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

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

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M3 - Contribución a la conferencia

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SN - 1424402085

SN - 9781424402083

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BT - Proceedings of the 2006 International Workshop on Variable Structure Systems, VSS'06

T2 - 2006 International Workshop on Variable Structure Systems, VSS'06

Y2 - 5 June 2006 through 7 June 2006

ER -

LQG-robust sliding mode control for linear stochastic systems with uncertainties

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