On finite-time stability and stabilization of nonlinear port-controlled Hamiltonian systems

Abstract The finite-time stability and stabilization of nonlinear port-controlled Hamiltonian (PCH) systems are investigated in this paper, and a number of new results are proposed. Firstly, by exploiting the Hamiltonian structural properties, a proper form of the Hamiltonian function is obtained, b...
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Gespeichert in:

Autor*in:	Wang, YuZhen [verfasserIn] Feng, Gang [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2012

Schlagwörter:	PCH system finite-time stability finite-time stabilization robust stabilization

Übergeordnetes Werk:	Enthalten in: Science in China - Heidelberg : Springer, 2001, 56(2012), 10 vom: 06. Juni, Seite 1-14
Übergeordnetes Werk:	volume:56 ; year:2012 ; number:10 ; day:06 ; month:06 ; pages:1-14

Links:	Volltext

DOI / URN:	10.1007/s11432-012-4600-0

Katalog-ID:	SPR019309805

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allfields	10.1007/s11432-012-4600-0 doi (DE-627)SPR019309805 (SPR)s11432-012-4600-0-e DE-627 ger DE-627 rakwb eng 070 004 ASE 54.00 bkl Wang, YuZhen verfasserin aut On finite-time stability and stabilization of nonlinear port-controlled Hamiltonian systems 2012 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract The finite-time stability and stabilization of nonlinear port-controlled Hamiltonian (PCH) systems are investigated in this paper, and a number of new results are proposed. Firstly, by exploiting the Hamiltonian structural properties, a proper form of the Hamiltonian function is obtained, based on which a finite-time stability criterion is then presented for a class of Hamiltonian systems. Secondly, using the obtained stability criterion and the so-called “energy shaping plus damping injection” technique, the continuous finite-time stabilization problem is studied for the PCH system, and several global stabilization results are provided. Finally, the continuous robust finite-time stabilization of the PCH system with external disturbances is investigated, and two results on designing global robust finite-time stabilizers are obtained. Study of several examples with numerical simulations shows that the control design approach developed in this paper works very well. PCH system (dpeaa)DE-He213 finite-time stability (dpeaa)DE-He213 finite-time stabilization (dpeaa)DE-He213 robust stabilization (dpeaa)DE-He213 Feng, Gang verfasserin aut Enthalten in Science in China Heidelberg : Springer, 2001 56(2012), 10 vom: 06. Juni, Seite 1-14 (DE-627)385614764 (DE-600)2142898-0 1862-2836 nnns volume:56 year:2012 number:10 day:06 month:06 pages:1-14 https://dx.doi.org/10.1007/s11432-012-4600-0 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-BBI SSG-OPC-ASE GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_152 GBV_ILN_161 GBV_ILN_171 GBV_ILN_187 GBV_ILN_224 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 54.00 ASE AR 56 2012 10 06 06 1-14
spelling	10.1007/s11432-012-4600-0 doi (DE-627)SPR019309805 (SPR)s11432-012-4600-0-e DE-627 ger DE-627 rakwb eng 070 004 ASE 54.00 bkl Wang, YuZhen verfasserin aut On finite-time stability and stabilization of nonlinear port-controlled Hamiltonian systems 2012 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract The finite-time stability and stabilization of nonlinear port-controlled Hamiltonian (PCH) systems are investigated in this paper, and a number of new results are proposed. Firstly, by exploiting the Hamiltonian structural properties, a proper form of the Hamiltonian function is obtained, based on which a finite-time stability criterion is then presented for a class of Hamiltonian systems. Secondly, using the obtained stability criterion and the so-called “energy shaping plus damping injection” technique, the continuous finite-time stabilization problem is studied for the PCH system, and several global stabilization results are provided. Finally, the continuous robust finite-time stabilization of the PCH system with external disturbances is investigated, and two results on designing global robust finite-time stabilizers are obtained. Study of several examples with numerical simulations shows that the control design approach developed in this paper works very well. PCH system (dpeaa)DE-He213 finite-time stability (dpeaa)DE-He213 finite-time stabilization (dpeaa)DE-He213 robust stabilization (dpeaa)DE-He213 Feng, Gang verfasserin aut Enthalten in Science in China Heidelberg : Springer, 2001 56(2012), 10 vom: 06. Juni, Seite 1-14 (DE-627)385614764 (DE-600)2142898-0 1862-2836 nnns volume:56 year:2012 number:10 day:06 month:06 pages:1-14 https://dx.doi.org/10.1007/s11432-012-4600-0 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-BBI SSG-OPC-ASE GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_152 GBV_ILN_161 GBV_ILN_171 GBV_ILN_187 GBV_ILN_224 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 54.00 ASE AR 56 2012 10 06 06 1-14
allfields_unstemmed	10.1007/s11432-012-4600-0 doi (DE-627)SPR019309805 (SPR)s11432-012-4600-0-e DE-627 ger DE-627 rakwb eng 070 004 ASE 54.00 bkl Wang, YuZhen verfasserin aut On finite-time stability and stabilization of nonlinear port-controlled Hamiltonian systems 2012 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract The finite-time stability and stabilization of nonlinear port-controlled Hamiltonian (PCH) systems are investigated in this paper, and a number of new results are proposed. Firstly, by exploiting the Hamiltonian structural properties, a proper form of the Hamiltonian function is obtained, based on which a finite-time stability criterion is then presented for a class of Hamiltonian systems. Secondly, using the obtained stability criterion and the so-called “energy shaping plus damping injection” technique, the continuous finite-time stabilization problem is studied for the PCH system, and several global stabilization results are provided. Finally, the continuous robust finite-time stabilization of the PCH system with external disturbances is investigated, and two results on designing global robust finite-time stabilizers are obtained. Study of several examples with numerical simulations shows that the control design approach developed in this paper works very well. PCH system (dpeaa)DE-He213 finite-time stability (dpeaa)DE-He213 finite-time stabilization (dpeaa)DE-He213 robust stabilization (dpeaa)DE-He213 Feng, Gang verfasserin aut Enthalten in Science in China Heidelberg : Springer, 2001 56(2012), 10 vom: 06. Juni, Seite 1-14 (DE-627)385614764 (DE-600)2142898-0 1862-2836 nnns volume:56 year:2012 number:10 day:06 month:06 pages:1-14 https://dx.doi.org/10.1007/s11432-012-4600-0 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-BBI SSG-OPC-ASE GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_152 GBV_ILN_161 GBV_ILN_171 GBV_ILN_187 GBV_ILN_224 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 54.00 ASE AR 56 2012 10 06 06 1-14
allfieldsGer	10.1007/s11432-012-4600-0 doi (DE-627)SPR019309805 (SPR)s11432-012-4600-0-e DE-627 ger DE-627 rakwb eng 070 004 ASE 54.00 bkl Wang, YuZhen verfasserin aut On finite-time stability and stabilization of nonlinear port-controlled Hamiltonian systems 2012 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract The finite-time stability and stabilization of nonlinear port-controlled Hamiltonian (PCH) systems are investigated in this paper, and a number of new results are proposed. Firstly, by exploiting the Hamiltonian structural properties, a proper form of the Hamiltonian function is obtained, based on which a finite-time stability criterion is then presented for a class of Hamiltonian systems. Secondly, using the obtained stability criterion and the so-called “energy shaping plus damping injection” technique, the continuous finite-time stabilization problem is studied for the PCH system, and several global stabilization results are provided. Finally, the continuous robust finite-time stabilization of the PCH system with external disturbances is investigated, and two results on designing global robust finite-time stabilizers are obtained. Study of several examples with numerical simulations shows that the control design approach developed in this paper works very well. PCH system (dpeaa)DE-He213 finite-time stability (dpeaa)DE-He213 finite-time stabilization (dpeaa)DE-He213 robust stabilization (dpeaa)DE-He213 Feng, Gang verfasserin aut Enthalten in Science in China Heidelberg : Springer, 2001 56(2012), 10 vom: 06. Juni, Seite 1-14 (DE-627)385614764 (DE-600)2142898-0 1862-2836 nnns volume:56 year:2012 number:10 day:06 month:06 pages:1-14 https://dx.doi.org/10.1007/s11432-012-4600-0 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-BBI SSG-OPC-ASE GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_152 GBV_ILN_161 GBV_ILN_171 GBV_ILN_187 GBV_ILN_224 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 54.00 ASE AR 56 2012 10 06 06 1-14
allfieldsSound	10.1007/s11432-012-4600-0 doi (DE-627)SPR019309805 (SPR)s11432-012-4600-0-e DE-627 ger DE-627 rakwb eng 070 004 ASE 54.00 bkl Wang, YuZhen verfasserin aut On finite-time stability and stabilization of nonlinear port-controlled Hamiltonian systems 2012 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract The finite-time stability and stabilization of nonlinear port-controlled Hamiltonian (PCH) systems are investigated in this paper, and a number of new results are proposed. Firstly, by exploiting the Hamiltonian structural properties, a proper form of the Hamiltonian function is obtained, based on which a finite-time stability criterion is then presented for a class of Hamiltonian systems. Secondly, using the obtained stability criterion and the so-called “energy shaping plus damping injection” technique, the continuous finite-time stabilization problem is studied for the PCH system, and several global stabilization results are provided. Finally, the continuous robust finite-time stabilization of the PCH system with external disturbances is investigated, and two results on designing global robust finite-time stabilizers are obtained. Study of several examples with numerical simulations shows that the control design approach developed in this paper works very well. PCH system (dpeaa)DE-He213 finite-time stability (dpeaa)DE-He213 finite-time stabilization (dpeaa)DE-He213 robust stabilization (dpeaa)DE-He213 Feng, Gang verfasserin aut Enthalten in Science in China Heidelberg : Springer, 2001 56(2012), 10 vom: 06. Juni, Seite 1-14 (DE-627)385614764 (DE-600)2142898-0 1862-2836 nnns volume:56 year:2012 number:10 day:06 month:06 pages:1-14 https://dx.doi.org/10.1007/s11432-012-4600-0 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-BBI SSG-OPC-ASE GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_152 GBV_ILN_161 GBV_ILN_171 GBV_ILN_187 GBV_ILN_224 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 54.00 ASE AR 56 2012 10 06 06 1-14
language	English
source	Enthalten in Science in China 56(2012), 10 vom: 06. Juni, Seite 1-14 volume:56 year:2012 number:10 day:06 month:06 pages:1-14
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topic_facet	PCH system finite-time stability finite-time stabilization robust stabilization
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author	Wang, YuZhen
spellingShingle	Wang, YuZhen ddc 070 bkl 54.00 misc PCH system misc finite-time stability misc finite-time stabilization misc robust stabilization On finite-time stability and stabilization of nonlinear port-controlled Hamiltonian systems
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topic_title	070 004 ASE 54.00 bkl On finite-time stability and stabilization of nonlinear port-controlled Hamiltonian systems PCH system (dpeaa)DE-He213 finite-time stability (dpeaa)DE-He213 finite-time stabilization (dpeaa)DE-He213 robust stabilization (dpeaa)DE-He213
topic	ddc 070 bkl 54.00 misc PCH system misc finite-time stability misc finite-time stabilization misc robust stabilization
topic_unstemmed	ddc 070 bkl 54.00 misc PCH system misc finite-time stability misc finite-time stabilization misc robust stabilization
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title	On finite-time stability and stabilization of nonlinear port-controlled Hamiltonian systems
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title_full	On finite-time stability and stabilization of nonlinear port-controlled Hamiltonian systems
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title_sort	on finite-time stability and stabilization of nonlinear port-controlled hamiltonian systems
title_auth	On finite-time stability and stabilization of nonlinear port-controlled Hamiltonian systems
abstract	Abstract The finite-time stability and stabilization of nonlinear port-controlled Hamiltonian (PCH) systems are investigated in this paper, and a number of new results are proposed. Firstly, by exploiting the Hamiltonian structural properties, a proper form of the Hamiltonian function is obtained, based on which a finite-time stability criterion is then presented for a class of Hamiltonian systems. Secondly, using the obtained stability criterion and the so-called “energy shaping plus damping injection” technique, the continuous finite-time stabilization problem is studied for the PCH system, and several global stabilization results are provided. Finally, the continuous robust finite-time stabilization of the PCH system with external disturbances is investigated, and two results on designing global robust finite-time stabilizers are obtained. Study of several examples with numerical simulations shows that the control design approach developed in this paper works very well.
abstractGer	Abstract The finite-time stability and stabilization of nonlinear port-controlled Hamiltonian (PCH) systems are investigated in this paper, and a number of new results are proposed. Firstly, by exploiting the Hamiltonian structural properties, a proper form of the Hamiltonian function is obtained, based on which a finite-time stability criterion is then presented for a class of Hamiltonian systems. Secondly, using the obtained stability criterion and the so-called “energy shaping plus damping injection” technique, the continuous finite-time stabilization problem is studied for the PCH system, and several global stabilization results are provided. Finally, the continuous robust finite-time stabilization of the PCH system with external disturbances is investigated, and two results on designing global robust finite-time stabilizers are obtained. Study of several examples with numerical simulations shows that the control design approach developed in this paper works very well.
abstract_unstemmed	Abstract The finite-time stability and stabilization of nonlinear port-controlled Hamiltonian (PCH) systems are investigated in this paper, and a number of new results are proposed. Firstly, by exploiting the Hamiltonian structural properties, a proper form of the Hamiltonian function is obtained, based on which a finite-time stability criterion is then presented for a class of Hamiltonian systems. Secondly, using the obtained stability criterion and the so-called “energy shaping plus damping injection” technique, the continuous finite-time stabilization problem is studied for the PCH system, and several global stabilization results are provided. Finally, the continuous robust finite-time stabilization of the PCH system with external disturbances is investigated, and two results on designing global robust finite-time stabilizers are obtained. Study of several examples with numerical simulations shows that the control design approach developed in this paper works very well.
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title_short	On finite-time stability and stabilization of nonlinear port-controlled Hamiltonian systems
url	https://dx.doi.org/10.1007/s11432-012-4600-0
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