Robust output nash strategies based on hierarchical sliding mode observer in a two-player differential game

Alejandra Ferreira; Manuel Jiménez-Lizarraga; Leonid Fridman

doi:10.1109/CDC.2008.4738987

Robust output nash strategies based on hierarchical sliding mode observer in a two-player differential game

Alejandra Ferreira, Manuel Jiménez-Lizarraga, Leonid Fridman

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

Abstract

This paper tackles the problem of a two-player differential game affected by matched uncertainties with only the output measurement available for each player. We suggest a state estimation based in the so called algebraic hierarchical observer for each player in order to design the Nash equilibrium strategies based on such estimation. At the same time, the use of an output integral sliding mode term (also based on the estimation processes) for the Nash strategies robustification for both players ensures the compensation of the matched uncertainties. A simulation example shows the feasibility of this approach in a magnetic levitator problem.

Original language	English
Title of host publication	Proceedings of the 47th IEEE Conference on Decision and Control, CDC 2008
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	2850-2855
Number of pages	6
ISBN (Print)	9781424431243
DOIs	https://doi.org/10.1109/CDC.2008.4738987
State	Published - 2008
Externally published	Yes
Event	47th IEEE Conference on Decision and Control, CDC 2008 - Cancun, Mexico Duration: 9 Dec 2008 → 11 Dec 2008

Publication series

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

Conference

Conference	47th IEEE Conference on Decision and Control, CDC 2008
Country/Territory	Mexico
City	Cancun
Period	9/12/08 → 11/12/08

Access to Document

10.1109/CDC.2008.4738987

Cite this

Ferreira, A., Jiménez-Lizarraga, M., & Fridman, L. (2008). Robust output nash strategies based on hierarchical sliding mode observer in a two-player differential game. In Proceedings of the 47th IEEE Conference on Decision and Control, CDC 2008 (pp. 2850-2855). Article 4738987 (Proceedings of the IEEE Conference on Decision and Control). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2008.4738987

Ferreira, Alejandra ; Jiménez-Lizarraga, Manuel ; Fridman, Leonid. / Robust output nash strategies based on hierarchical sliding mode observer in a two-player differential game. Proceedings of the 47th IEEE Conference on Decision and Control, CDC 2008. Institute of Electrical and Electronics Engineers Inc., 2008. pp. 2850-2855 (Proceedings of the IEEE Conference on Decision and Control).

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abstract = "This paper tackles the problem of a two-player differential game affected by matched uncertainties with only the output measurement available for each player. We suggest a state estimation based in the so called algebraic hierarchical observer for each player in order to design the Nash equilibrium strategies based on such estimation. At the same time, the use of an output integral sliding mode term (also based on the estimation processes) for the Nash strategies robustification for both players ensures the compensation of the matched uncertainties. A simulation example shows the feasibility of this approach in a magnetic levitator problem.",

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doi = "10.1109/CDC.2008.4738987",

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Ferreira, A, Jiménez-Lizarraga, M & Fridman, L 2008, Robust output nash strategies based on hierarchical sliding mode observer in a two-player differential game. in Proceedings of the 47th IEEE Conference on Decision and Control, CDC 2008., 4738987, Proceedings of the IEEE Conference on Decision and Control, Institute of Electrical and Electronics Engineers Inc., pp. 2850-2855, 47th IEEE Conference on Decision and Control, CDC 2008, Cancun, Mexico, 9/12/08. https://doi.org/10.1109/CDC.2008.4738987

Robust output nash strategies based on hierarchical sliding mode observer in a two-player differential game. / Ferreira, Alejandra; Jiménez-Lizarraga, Manuel; Fridman, Leonid.
Proceedings of the 47th IEEE Conference on Decision and Control, CDC 2008. Institute of Electrical and Electronics Engineers Inc., 2008. p. 2850-2855 4738987 (Proceedings of the IEEE Conference on Decision and Control).

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

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N2 - This paper tackles the problem of a two-player differential game affected by matched uncertainties with only the output measurement available for each player. We suggest a state estimation based in the so called algebraic hierarchical observer for each player in order to design the Nash equilibrium strategies based on such estimation. At the same time, the use of an output integral sliding mode term (also based on the estimation processes) for the Nash strategies robustification for both players ensures the compensation of the matched uncertainties. A simulation example shows the feasibility of this approach in a magnetic levitator problem.

AB - This paper tackles the problem of a two-player differential game affected by matched uncertainties with only the output measurement available for each player. We suggest a state estimation based in the so called algebraic hierarchical observer for each player in order to design the Nash equilibrium strategies based on such estimation. At the same time, the use of an output integral sliding mode term (also based on the estimation processes) for the Nash strategies robustification for both players ensures the compensation of the matched uncertainties. A simulation example shows the feasibility of this approach in a magnetic levitator problem.

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Ferreira A, Jiménez-Lizarraga M, Fridman L. Robust output nash strategies based on hierarchical sliding mode observer in a two-player differential game. In Proceedings of the 47th IEEE Conference on Decision and Control, CDC 2008. Institute of Electrical and Electronics Engineers Inc. 2008. p. 2850-2855. 4738987. (Proceedings of the IEEE Conference on Decision and Control). doi: 10.1109/CDC.2008.4738987

Robust output nash strategies based on hierarchical sliding mode observer in a two-player differential game

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