Discrete time robust guaranteed cost control for nonlinear stochastic uncertain systems

A. J. Shaiju; Ian R. Petersen

doi:10.1109/CDC.2007.4434514

Discrete time robust guaranteed cost control for nonlinear stochastic uncertain systems

A. J. Shaiju^*
, Ian R. Petersen

^*Corresponding author for this work

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

2 Citations (Scopus)

Abstract

This paper presents an approach to discrete time robust nonlinear control based on the use of Sum Quadratic Constraints. The approach involves controllers which include copies of the system nonlinearities in the controller. The nonlinearities being considered are those which satisfy a certain global Lipschitz condition. The linear part of the controller is synthesized using minimax LQG control theory which is closely related to H^∞ control theory and this leads to a nonlinear controller which gives an upper bound on a quadratic cost functional.

Original language	English
Title of host publication	Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	62-67
Number of pages	6
ISBN (Print)	1424414989, 9781424414987, 978-1-4244-1497-0
DOIs	https://doi.org/10.1109/CDC.2007.4434514
Publication status	Published - 2007
Externally published	Yes
Event	46th IEEE Conference on Decision and Control 2007, CDC - New Orleans, LA, United States Duration: 12 Dec 2007 → 14 Dec 2007

Publication series

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

Conference

Conference	46th IEEE Conference on Decision and Control 2007, CDC
Country/Territory	United States
City	New Orleans, LA
Period	12/12/07 → 14/12/07

Access to Document

10.1109/CDC.2007.4434514

Cite this

Shaiju, A. J., & Petersen, I. R. (2007). Discrete time robust guaranteed cost control for nonlinear stochastic uncertain systems. In Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC (pp. 62-67). Article 4434514 (Proceedings of the IEEE Conference on Decision and Control). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2007.4434514

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title = "Discrete time robust guaranteed cost control for nonlinear stochastic uncertain systems",

abstract = "This paper presents an approach to discrete time robust nonlinear control based on the use of Sum Quadratic Constraints. The approach involves controllers which include copies of the system nonlinearities in the controller. The nonlinearities being considered are those which satisfy a certain global Lipschitz condition. The linear part of the controller is synthesized using minimax LQG control theory which is closely related to H∞ control theory and this leads to a nonlinear controller which gives an upper bound on a quadratic cost functional.",

author = "Shaiju, \{A. J.\} and Petersen, \{Ian R.\}",

year = "2007",

doi = "10.1109/CDC.2007.4434514",

language = "English",

isbn = "1424414989",

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

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

pages = "62--67",

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address = "United States",

note = "46th IEEE Conference on Decision and Control 2007, CDC ; Conference date: 12-12-2007 Through 14-12-2007",

}

Shaiju, AJ & Petersen, IR 2007, Discrete time robust guaranteed cost control for nonlinear stochastic uncertain systems. in Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC., 4434514, Proceedings of the IEEE Conference on Decision and Control, Institute of Electrical and Electronics Engineers Inc., pp. 62-67, 46th IEEE Conference on Decision and Control 2007, CDC, New Orleans, LA, United States, 12/12/07. https://doi.org/10.1109/CDC.2007.4434514

Discrete time robust guaranteed cost control for nonlinear stochastic uncertain systems. / Shaiju, A. J.; Petersen, Ian R.
Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC. Institute of Electrical and Electronics Engineers Inc., 2007. p. 62-67 4434514 (Proceedings of the IEEE Conference on Decision and Control).

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

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AU - Petersen, Ian R.

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AB - This paper presents an approach to discrete time robust nonlinear control based on the use of Sum Quadratic Constraints. The approach involves controllers which include copies of the system nonlinearities in the controller. The nonlinearities being considered are those which satisfy a certain global Lipschitz condition. The linear part of the controller is synthesized using minimax LQG control theory which is closely related to H∞ control theory and this leads to a nonlinear controller which gives an upper bound on a quadratic cost functional.

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Discrete time robust guaranteed cost control for nonlinear stochastic uncertain systems

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