Control of switched LPV systems using common Lyapunov function method and an F-16 aircraft application

Xu He; Georgi M. Dimirovski; Jun Zhao

doi:10.1109/ICSMC.2010.5641742

Control of switched LPV systems using common Lyapunov function method and an F-16 aircraft application

Xu He^*, Georgi M. Dimirovski, Jun Zhao

^*Corresponding author for this work

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

34 Citations (Scopus)

Abstract

This paper presents a controller design method for dealing with the induced ℒ₂-norm problem for switched linear parameter-varying (LPV) systems. Considering the arbitrary switchings caused by the parameters varying, a common parameter-dependent Lyapunov function is employed to derive sufficient linear matrix ineqUality (LMI) conditions for the switched LPV systems. A family of LPV controllers are designed according to the LMI conditions, and each of them is suitable for the corresponding parameter region. The proposed switching LPV control method is applied to an F-16 aircraft longitudinal model and simulation results demonstrate the effectiveness of the approach.

Original language	English
Title of host publication	2010 IEEE International Conference on Systems, Man and Cybernetics, SMC 2010
Pages	386-392
Number of pages	7
DOIs	https://doi.org/10.1109/ICSMC.2010.5641742
Publication status	Published - 2010
Event	2010 IEEE International Conference on Systems, Man and Cybernetics, SMC 2010 - Istanbul, Turkey Duration: 10 Oct 2010 → 13 Oct 2010

Publication series

Name	Conference Proceedings - IEEE International Conference on Systems, Man and Cybernetics
ISSN (Print)	1062-922X

Conference

Conference	2010 IEEE International Conference on Systems, Man and Cybernetics, SMC 2010
Country/Territory	Turkey
City	Istanbul
Period	10/10/10 → 13/10/10

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10.1109/ICSMC.2010.5641742

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He, X., Dimirovski, G. M., & Zhao, J. (2010). Control of switched LPV systems using common Lyapunov function method and an F-16 aircraft application. In 2010 IEEE International Conference on Systems, Man and Cybernetics, SMC 2010 (pp. 386-392). Article 5641742 (Conference Proceedings - IEEE International Conference on Systems, Man and Cybernetics). https://doi.org/10.1109/ICSMC.2010.5641742

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title = "Control of switched LPV systems using common Lyapunov function method and an F-16 aircraft application",

abstract = "This paper presents a controller design method for dealing with the induced ℒ2-norm problem for switched linear parameter-varying (LPV) systems. Considering the arbitrary switchings caused by the parameters varying, a common parameter-dependent Lyapunov function is employed to derive sufficient linear matrix ineqUality (LMI) conditions for the switched LPV systems. A family of LPV controllers are designed according to the LMI conditions, and each of them is suitable for the corresponding parameter region. The proposed switching LPV control method is applied to an F-16 aircraft longitudinal model and simulation results demonstrate the effectiveness of the approach.",

keywords = "Common parameter-dependent Lyapunov function, Linear matrix inequality, Switched linear parameter-varying system",

author = "Xu He and Dimirovski, {Georgi M.} and Jun Zhao",

year = "2010",

doi = "10.1109/ICSMC.2010.5641742",

language = "English",

isbn = "9781424465880",

series = "Conference Proceedings - IEEE International Conference on Systems, Man and Cybernetics",

pages = "386--392",

booktitle = "2010 IEEE International Conference on Systems, Man and Cybernetics, SMC 2010",

note = "2010 IEEE International Conference on Systems, Man and Cybernetics, SMC 2010 ; Conference date: 10-10-2010 Through 13-10-2010",

}

He, X, Dimirovski, GM & Zhao, J 2010, Control of switched LPV systems using common Lyapunov function method and an F-16 aircraft application. in 2010 IEEE International Conference on Systems, Man and Cybernetics, SMC 2010., 5641742, Conference Proceedings - IEEE International Conference on Systems, Man and Cybernetics, pp. 386-392, 2010 IEEE International Conference on Systems, Man and Cybernetics, SMC 2010, Istanbul, Turkey, 10/10/10. https://doi.org/10.1109/ICSMC.2010.5641742

Control of switched LPV systems using common Lyapunov function method and an F-16 aircraft application. / He, Xu; Dimirovski, Georgi M.; Zhao, Jun.
2010 IEEE International Conference on Systems, Man and Cybernetics, SMC 2010. 2010. p. 386-392 5641742 (Conference Proceedings - IEEE International Conference on Systems, Man and Cybernetics).

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

TY - GEN

T1 - Control of switched LPV systems using common Lyapunov function method and an F-16 aircraft application

AU - He, Xu

AU - Dimirovski, Georgi M.

AU - Zhao, Jun

PY - 2010

Y1 - 2010

N2 - This paper presents a controller design method for dealing with the induced ℒ2-norm problem for switched linear parameter-varying (LPV) systems. Considering the arbitrary switchings caused by the parameters varying, a common parameter-dependent Lyapunov function is employed to derive sufficient linear matrix ineqUality (LMI) conditions for the switched LPV systems. A family of LPV controllers are designed according to the LMI conditions, and each of them is suitable for the corresponding parameter region. The proposed switching LPV control method is applied to an F-16 aircraft longitudinal model and simulation results demonstrate the effectiveness of the approach.

AB - This paper presents a controller design method for dealing with the induced ℒ2-norm problem for switched linear parameter-varying (LPV) systems. Considering the arbitrary switchings caused by the parameters varying, a common parameter-dependent Lyapunov function is employed to derive sufficient linear matrix ineqUality (LMI) conditions for the switched LPV systems. A family of LPV controllers are designed according to the LMI conditions, and each of them is suitable for the corresponding parameter region. The proposed switching LPV control method is applied to an F-16 aircraft longitudinal model and simulation results demonstrate the effectiveness of the approach.

KW - Common parameter-dependent Lyapunov function

KW - Linear matrix inequality

KW - Switched linear parameter-varying system

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U2 - 10.1109/ICSMC.2010.5641742

DO - 10.1109/ICSMC.2010.5641742

M3 - Conference contribution

SN - 9781424465880

T3 - Conference Proceedings - IEEE International Conference on Systems, Man and Cybernetics

SP - 386

EP - 392

BT - 2010 IEEE International Conference on Systems, Man and Cybernetics, SMC 2010

T2 - 2010 IEEE International Conference on Systems, Man and Cybernetics, SMC 2010

Y2 - 10 October 2010 through 13 October 2010

ER -

Control of switched LPV systems using common Lyapunov function method and an F-16 aircraft application

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