Stabilization of impulsive switched linear systems with saturated control input
This paper considers the stabilization problem of impulsive switched linear systems with saturated control input, in which the impulses are viewed as control or disturbances. Under arbitrary switching rule and dwell time switching rule, the local stabilization conditions are obtained in terms of LMI...
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| Published in | Nonlinear dynamics Vol. 69; no. 3; pp. 793 - 804 |
|---|---|
| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
Dordrecht
Springer Netherlands
01.08.2012
Springer Nature B.V |
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| Online Access | Get full text |
| ISSN | 0924-090X 1573-269X |
| DOI | 10.1007/s11071-011-0305-y |
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| Abstract | This paper considers the stabilization problem of impulsive switched linear systems with saturated control input, in which the impulses are viewed as control or disturbances. Under arbitrary switching rule and dwell time switching rule, the local stabilization conditions are obtained in terms of LMIs, respectively. The corresponding optimization problems are formulated to obtain a bigger attractive region. Our results show that impulsive control can recover part of attractive region, or allow a wide range of switching signals. If the impulses occur as disturbances, we have to increase the dwell time of switching signals to offset the effects of disturbances. Numerical examples are given to show the effectiveness of the results proposed. |
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| AbstractList | This paper considers the stabilization problem of impulsive switched linear systems with saturated control input, in which the impulses are viewed as control or disturbances. Under arbitrary switching rule and dwell time switching rule, the local stabilization conditions are obtained in terms of LMIs, respectively. The corresponding optimization problems are formulated to obtain a bigger attractive region. Our results show that impulsive control can recover part of attractive region, or allow a wide range of switching signals. If the impulses occur as disturbances, we have to increase the dwell time of switching signals to offset the effects of disturbances. Numerical examples are given to show the effectiveness of the results proposed. |
| Author | Fei, Shumin Zhang, Kanjian Chen, Yonggang |
| Author_xml | – sequence: 1 givenname: Yonggang surname: Chen fullname: Chen, Yonggang email: happycygzmd@tom.com organization: Key Laboratory of Measurement and Control of CSE, Ministry of Education, School of Automation, Southeast University, Department of Mathematics, Henan Institute of Science and Technology – sequence: 2 givenname: Shumin surname: Fei fullname: Fei, Shumin email: smfei@seu.edu.cn organization: Key Laboratory of Measurement and Control of CSE, Ministry of Education, School of Automation, Southeast University – sequence: 3 givenname: Kanjian surname: Zhang fullname: Zhang, Kanjian organization: Key Laboratory of Measurement and Control of CSE, Ministry of Education, School of Automation, Southeast University |
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| Keywords | Dwell time switching rule Impulsive switched systems Arbitrary switching rule Linear matrix inequality (LMI) Stabilization Saturated control input |
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| References_xml | – reference: BenzaouiaA.AkhrifO.SaydyL.Stabilisation and control synthesis of switching systems subject to actuator saturationInt. J. Syst. Sci.201041397409265639810.1080/00207720903045791 – reference: ZongG.XuS.WuY.Robust H∞ stabilization for uncertain switched impulsive control systems with state delay: An LMI approachNonlinear Anal. Hybrid Syst.200821287130024793711163.9338610.1016/j.nahs.2008.09.018 – reference: MahboubiH.MoshiriB.Khaki SeddighA.Hybrid modeling and optimal control of a two-tank system as a switched systemWorld Acad. Sci., Eng. Tech.200511319324 – reference: NiW.ChengD.Control of switched linear systems with input saturationInt. J. Syst. 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| SubjectTerms | Automotive Engineering Classical Mechanics Control Control systems Disturbances Dwell time Dynamical Systems Engineering Impulses Linear systems Mechanical Engineering Optimization Stabilization Switching Vibration |
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| Title | Stabilization of impulsive switched linear systems with saturated control input |
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