H∞ controller design for switched nonlinear systems in lower triangular form under arbitrary switchings

Ruicheng Ma; Jun Zhao; Georgi M. Dimirovski

doi:10.1109/CDC.2010.5717714

H_∞ controller design for switched nonlinear systems in lower triangular form under arbitrary switchings

Ruicheng Ma^*, Jun Zhao, Georgi M. Dimirovski

^*Corresponding author for this work

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

4 Citations (Scopus)

Abstract

This paper focuses on the problem of robust H_∞ control for a class of non-minimum-phase switched nonlinear systems in lower triangular form under arbitrary switchings. The backstepping design technique is applied to construct a common Lyapunov function (CLF) and an H_∞ feedback controller which guarantee that the closed-loop system is stability and the L₂-gain from the disturbance input to the controlled output is not larger than a prescribed value under arbitrary switchings. The construction of such a CLF depends on the virtual feedback controllers which are designed at each step of the iteration.

Original language	English
Title of host publication	2010 49th IEEE Conference on Decision and Control, CDC 2010
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	4341-4346
Number of pages	6
ISBN (Print)	9781424477456
DOIs	https://doi.org/10.1109/CDC.2010.5717714
Publication status	Published - 2010
Event	49th IEEE Conference on Decision and Control, CDC 2010 - Atlanta, United States Duration: 15 Dec 2010 → 17 Dec 2010

Publication series

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

Conference

Conference	49th IEEE Conference on Decision and Control, CDC 2010
Country/Territory	United States
City	Atlanta
Period	15/12/10 → 17/12/10

Access to Document

10.1109/CDC.2010.5717714

Cite this

Ma, R., Zhao, J., & Dimirovski, G. M. (2010). H_∞ controller design for switched nonlinear systems in lower triangular form under arbitrary switchings. In 2010 49th IEEE Conference on Decision and Control, CDC 2010 (pp. 4341-4346). Article 5717714 (Proceedings of the IEEE Conference on Decision and Control). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2010.5717714

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title = "H∞ controller design for switched nonlinear systems in lower triangular form under arbitrary switchings",

abstract = "This paper focuses on the problem of robust H∞ control for a class of non-minimum-phase switched nonlinear systems in lower triangular form under arbitrary switchings. The backstepping design technique is applied to construct a common Lyapunov function (CLF) and an H∞ feedback controller which guarantee that the closed-loop system is stability and the L2-gain from the disturbance input to the controlled output is not larger than a prescribed value under arbitrary switchings. The construction of such a CLF depends on the virtual feedback controllers which are designed at each step of the iteration.",

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Ma, R, Zhao, J & Dimirovski, GM 2010, H_∞ controller design for switched nonlinear systems in lower triangular form under arbitrary switchings. in 2010 49th IEEE Conference on Decision and Control, CDC 2010., 5717714, Proceedings of the IEEE Conference on Decision and Control, Institute of Electrical and Electronics Engineers Inc., pp. 4341-4346, 49th IEEE Conference on Decision and Control, CDC 2010, Atlanta, United States, 15/12/10. https://doi.org/10.1109/CDC.2010.5717714

H_∞ controller design for switched nonlinear systems in lower triangular form under arbitrary switchings. / Ma, Ruicheng; Zhao, Jun; Dimirovski, Georgi M.
2010 49th IEEE Conference on Decision and Control, CDC 2010. Institute of Electrical and Electronics Engineers Inc., 2010. p. 4341-4346 5717714 (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 focuses on the problem of robust H∞ control for a class of non-minimum-phase switched nonlinear systems in lower triangular form under arbitrary switchings. The backstepping design technique is applied to construct a common Lyapunov function (CLF) and an H∞ feedback controller which guarantee that the closed-loop system is stability and the L2-gain from the disturbance input to the controlled output is not larger than a prescribed value under arbitrary switchings. The construction of such a CLF depends on the virtual feedback controllers which are designed at each step of the iteration.

AB - This paper focuses on the problem of robust H∞ control for a class of non-minimum-phase switched nonlinear systems in lower triangular form under arbitrary switchings. The backstepping design technique is applied to construct a common Lyapunov function (CLF) and an H∞ feedback controller which guarantee that the closed-loop system is stability and the L2-gain from the disturbance input to the controlled output is not larger than a prescribed value under arbitrary switchings. The construction of such a CLF depends on the virtual feedback controllers which are designed at each step of the iteration.

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Ma R, Zhao J, Dimirovski GM. H_∞ controller design for switched nonlinear systems in lower triangular form under arbitrary switchings. In 2010 49th IEEE Conference on Decision and Control, CDC 2010. Institute of Electrical and Electronics Engineers Inc. 2010. p. 4341-4346. 5717714. (Proceedings of the IEEE Conference on Decision and Control). doi: 10.1109/CDC.2010.5717714