Robust state feedback stabilization of uncertain switched linear systems subject to actuator saturation

Xinquan Zhang; Jun Zhao; Georgi M. Dimirovski; Ruicheng Ma

Robust state feedback stabilization of uncertain switched linear systems subject to actuator saturation

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

^*Corresponding author for this work

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

28 Citations (Scopus)

Abstract

This paper addresses the robust stabilization problem for a class of switched linear systems affected by time-varying uncertainties with saturating actuators. The objective is to design a switching law and a state feedback control law such that the closed-loop system is asymptotically stable at the origin with a large domain of attraction. Via the multiple Lyapunov functions method, sufficient conditions for robust stabilization are derived. If some scalars parameters are selected in advance, the state feedback control law and the estimation of domain of attraction are presented by solving a convex optimization problem with LMI constraints. A numerical example is given to show the effectiveness of the proposed method.

Original language	English
Title of host publication	Proceedings of the 2010 American Control Conference, ACC 2010
Pages	3269-3274
Number of pages	6
Publication status	Published - 2010
Event	2010 American Control Conference, ACC 2010 - Baltimore, MD, United States Duration: 30 Jun 2010 → 2 Jul 2010

Publication series

Name	Proceedings of the 2010 American Control Conference, ACC 2010

Conference

Conference	2010 American Control Conference, ACC 2010
Country/Territory	United States
City	Baltimore, MD
Period	30/06/10 → 2/07/10

Cite this

@inproceedings{1c73f954d84842d4a82602cee4eb5dd4,

title = "Robust state feedback stabilization of uncertain switched linear systems subject to actuator saturation",

abstract = "This paper addresses the robust stabilization problem for a class of switched linear systems affected by time-varying uncertainties with saturating actuators. The objective is to design a switching law and a state feedback control law such that the closed-loop system is asymptotically stable at the origin with a large domain of attraction. Via the multiple Lyapunov functions method, sufficient conditions for robust stabilization are derived. If some scalars parameters are selected in advance, the state feedback control law and the estimation of domain of attraction are presented by solving a convex optimization problem with LMI constraints. A numerical example is given to show the effectiveness of the proposed method.",

author = "Xinquan Zhang and Jun Zhao and Dimirovski, {Georgi M.} and Ruicheng Ma",

year = "2010",

language = "English",

isbn = "9781424474264",

series = "Proceedings of the 2010 American Control Conference, ACC 2010",

pages = "3269--3274",

booktitle = "Proceedings of the 2010 American Control Conference, ACC 2010",

note = "2010 American Control Conference, ACC 2010 ; Conference date: 30-06-2010 Through 02-07-2010",

}

Zhang, X, Zhao, J, Dimirovski, GM & Ma, R 2010, Robust state feedback stabilization of uncertain switched linear systems subject to actuator saturation. in Proceedings of the 2010 American Control Conference, ACC 2010., 5530700, Proceedings of the 2010 American Control Conference, ACC 2010, pp. 3269-3274, 2010 American Control Conference, ACC 2010, Baltimore, MD, United States, 30/06/10.

Robust state feedback stabilization of uncertain switched linear systems subject to actuator saturation. / Zhang, Xinquan; Zhao, Jun; Dimirovski, Georgi M. et al.
Proceedings of the 2010 American Control Conference, ACC 2010. 2010. p. 3269-3274 5530700 (Proceedings of the 2010 American Control Conference, ACC 2010).

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

TY - GEN

T1 - Robust state feedback stabilization of uncertain switched linear systems subject to actuator saturation

AU - Zhang, Xinquan

AU - Zhao, Jun

AU - Dimirovski, Georgi M.

AU - Ma, Ruicheng

PY - 2010

Y1 - 2010

N2 - This paper addresses the robust stabilization problem for a class of switched linear systems affected by time-varying uncertainties with saturating actuators. The objective is to design a switching law and a state feedback control law such that the closed-loop system is asymptotically stable at the origin with a large domain of attraction. Via the multiple Lyapunov functions method, sufficient conditions for robust stabilization are derived. If some scalars parameters are selected in advance, the state feedback control law and the estimation of domain of attraction are presented by solving a convex optimization problem with LMI constraints. A numerical example is given to show the effectiveness of the proposed method.

AB - This paper addresses the robust stabilization problem for a class of switched linear systems affected by time-varying uncertainties with saturating actuators. The objective is to design a switching law and a state feedback control law such that the closed-loop system is asymptotically stable at the origin with a large domain of attraction. Via the multiple Lyapunov functions method, sufficient conditions for robust stabilization are derived. If some scalars parameters are selected in advance, the state feedback control law and the estimation of domain of attraction are presented by solving a convex optimization problem with LMI constraints. A numerical example is given to show the effectiveness of the proposed method.

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M3 - Conference contribution

SN - 9781424474264

T3 - Proceedings of the 2010 American Control Conference, ACC 2010

SP - 3269

EP - 3274

BT - Proceedings of the 2010 American Control Conference, ACC 2010

T2 - 2010 American Control Conference, ACC 2010

Y2 - 30 June 2010 through 2 July 2010

ER -

Robust state feedback stabilization of uncertain switched linear systems subject to actuator saturation

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