Output Strictly Passive $${{\varvec{H}}_\infty }$$ Control of Discrete-Time Linear Switched Singular Systems Via Proportional Plus Derivative State Feedback
Abstract This work aims to study the problem of output strictly passive $$H_\infty $$ control for discrete-time linear switched singular systems. By using multiple storage functions and iteration technique, some sufficient conditions are obtained based on output strict passivity and proportional plu...
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| Autor*in: |
Gao, Zairui [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2020 |
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| Schlagwörter: |
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| Anmerkung: |
© Springer Science+Business Media, LLC, part of Springer Nature 2020 |
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| Übergeordnetes Werk: |
Enthalten in: Circuits, systems and signal processing - Springer US, 1982, 39(2020), 8 vom: 31. Jan., Seite 3907-3924 |
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| Übergeordnetes Werk: |
volume:39 ; year:2020 ; number:8 ; day:31 ; month:01 ; pages:3907-3924 |
| Links: |
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| DOI / URN: |
10.1007/s00034-020-01353-6 |
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OLC2034858492 |
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| 520 | |a Abstract This work aims to study the problem of output strictly passive $$H_\infty $$ control for discrete-time linear switched singular systems. By using multiple storage functions and iteration technique, some sufficient conditions are obtained based on output strict passivity and proportional plus derivative state feedback, which can guarantee that the closed-loop systems are normal and stable and satisfy a given $$H_\infty $$ performance. Proportional plus derivative state feedback sub-controllers with explicit expressions are designed. Proportional plus derivative state feedback can not only eliminate impulse phenomena, but also eliminate state jumps caused by incompatible initial conditions of subsystems at switching instants. A numerical example is given to verify the applicability of the results. | ||
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10.1007/s00034-020-01353-6 doi (DE-627)OLC2034858492 (DE-He213)s00034-020-01353-6-p DE-627 ger DE-627 rakwb eng 600 VZ Gao, Zairui verfasserin (orcid)0000-0001-8830-3687 aut Output Strictly Passive $${{\varvec{H}}_\infty }$$ Control of Discrete-Time Linear Switched Singular Systems Via Proportional Plus Derivative State Feedback 2020 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media, LLC, part of Springer Nature 2020 Abstract This work aims to study the problem of output strictly passive $$H_\infty $$ control for discrete-time linear switched singular systems. By using multiple storage functions and iteration technique, some sufficient conditions are obtained based on output strict passivity and proportional plus derivative state feedback, which can guarantee that the closed-loop systems are normal and stable and satisfy a given $$H_\infty $$ performance. Proportional plus derivative state feedback sub-controllers with explicit expressions are designed. Proportional plus derivative state feedback can not only eliminate impulse phenomena, but also eliminate state jumps caused by incompatible initial conditions of subsystems at switching instants. A numerical example is given to verify the applicability of the results. Discrete-time switched singular systems control Output strict passivity Proportional plus derivative state feedback Wang, Ziyun aut Ji, Zhicheng aut Liu, Yunlong aut Enthalten in Circuits, systems and signal processing Springer US, 1982 39(2020), 8 vom: 31. Jan., Seite 3907-3924 (DE-627)130312134 (DE-600)588684-3 (DE-576)015889939 0278-081X nnns volume:39 year:2020 number:8 day:31 month:01 pages:3907-3924 https://doi.org/10.1007/s00034-020-01353-6 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC GBV_ILN_2244 AR 39 2020 8 31 01 3907-3924 |
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10.1007/s00034-020-01353-6 doi (DE-627)OLC2034858492 (DE-He213)s00034-020-01353-6-p DE-627 ger DE-627 rakwb eng 600 VZ Gao, Zairui verfasserin (orcid)0000-0001-8830-3687 aut Output Strictly Passive $${{\varvec{H}}_\infty }$$ Control of Discrete-Time Linear Switched Singular Systems Via Proportional Plus Derivative State Feedback 2020 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media, LLC, part of Springer Nature 2020 Abstract This work aims to study the problem of output strictly passive $$H_\infty $$ control for discrete-time linear switched singular systems. By using multiple storage functions and iteration technique, some sufficient conditions are obtained based on output strict passivity and proportional plus derivative state feedback, which can guarantee that the closed-loop systems are normal and stable and satisfy a given $$H_\infty $$ performance. Proportional plus derivative state feedback sub-controllers with explicit expressions are designed. Proportional plus derivative state feedback can not only eliminate impulse phenomena, but also eliminate state jumps caused by incompatible initial conditions of subsystems at switching instants. A numerical example is given to verify the applicability of the results. Discrete-time switched singular systems control Output strict passivity Proportional plus derivative state feedback Wang, Ziyun aut Ji, Zhicheng aut Liu, Yunlong aut Enthalten in Circuits, systems and signal processing Springer US, 1982 39(2020), 8 vom: 31. Jan., Seite 3907-3924 (DE-627)130312134 (DE-600)588684-3 (DE-576)015889939 0278-081X nnns volume:39 year:2020 number:8 day:31 month:01 pages:3907-3924 https://doi.org/10.1007/s00034-020-01353-6 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC GBV_ILN_2244 AR 39 2020 8 31 01 3907-3924 |
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10.1007/s00034-020-01353-6 doi (DE-627)OLC2034858492 (DE-He213)s00034-020-01353-6-p DE-627 ger DE-627 rakwb eng 600 VZ Gao, Zairui verfasserin (orcid)0000-0001-8830-3687 aut Output Strictly Passive $${{\varvec{H}}_\infty }$$ Control of Discrete-Time Linear Switched Singular Systems Via Proportional Plus Derivative State Feedback 2020 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media, LLC, part of Springer Nature 2020 Abstract This work aims to study the problem of output strictly passive $$H_\infty $$ control for discrete-time linear switched singular systems. By using multiple storage functions and iteration technique, some sufficient conditions are obtained based on output strict passivity and proportional plus derivative state feedback, which can guarantee that the closed-loop systems are normal and stable and satisfy a given $$H_\infty $$ performance. Proportional plus derivative state feedback sub-controllers with explicit expressions are designed. Proportional plus derivative state feedback can not only eliminate impulse phenomena, but also eliminate state jumps caused by incompatible initial conditions of subsystems at switching instants. A numerical example is given to verify the applicability of the results. Discrete-time switched singular systems control Output strict passivity Proportional plus derivative state feedback Wang, Ziyun aut Ji, Zhicheng aut Liu, Yunlong aut Enthalten in Circuits, systems and signal processing Springer US, 1982 39(2020), 8 vom: 31. Jan., Seite 3907-3924 (DE-627)130312134 (DE-600)588684-3 (DE-576)015889939 0278-081X nnns volume:39 year:2020 number:8 day:31 month:01 pages:3907-3924 https://doi.org/10.1007/s00034-020-01353-6 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC GBV_ILN_2244 AR 39 2020 8 31 01 3907-3924 |
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10.1007/s00034-020-01353-6 doi (DE-627)OLC2034858492 (DE-He213)s00034-020-01353-6-p DE-627 ger DE-627 rakwb eng 600 VZ Gao, Zairui verfasserin (orcid)0000-0001-8830-3687 aut Output Strictly Passive $${{\varvec{H}}_\infty }$$ Control of Discrete-Time Linear Switched Singular Systems Via Proportional Plus Derivative State Feedback 2020 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media, LLC, part of Springer Nature 2020 Abstract This work aims to study the problem of output strictly passive $$H_\infty $$ control for discrete-time linear switched singular systems. By using multiple storage functions and iteration technique, some sufficient conditions are obtained based on output strict passivity and proportional plus derivative state feedback, which can guarantee that the closed-loop systems are normal and stable and satisfy a given $$H_\infty $$ performance. Proportional plus derivative state feedback sub-controllers with explicit expressions are designed. Proportional plus derivative state feedback can not only eliminate impulse phenomena, but also eliminate state jumps caused by incompatible initial conditions of subsystems at switching instants. A numerical example is given to verify the applicability of the results. Discrete-time switched singular systems control Output strict passivity Proportional plus derivative state feedback Wang, Ziyun aut Ji, Zhicheng aut Liu, Yunlong aut Enthalten in Circuits, systems and signal processing Springer US, 1982 39(2020), 8 vom: 31. Jan., Seite 3907-3924 (DE-627)130312134 (DE-600)588684-3 (DE-576)015889939 0278-081X nnns volume:39 year:2020 number:8 day:31 month:01 pages:3907-3924 https://doi.org/10.1007/s00034-020-01353-6 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC GBV_ILN_2244 AR 39 2020 8 31 01 3907-3924 |
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10.1007/s00034-020-01353-6 doi (DE-627)OLC2034858492 (DE-He213)s00034-020-01353-6-p DE-627 ger DE-627 rakwb eng 600 VZ Gao, Zairui verfasserin (orcid)0000-0001-8830-3687 aut Output Strictly Passive $${{\varvec{H}}_\infty }$$ Control of Discrete-Time Linear Switched Singular Systems Via Proportional Plus Derivative State Feedback 2020 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media, LLC, part of Springer Nature 2020 Abstract This work aims to study the problem of output strictly passive $$H_\infty $$ control for discrete-time linear switched singular systems. By using multiple storage functions and iteration technique, some sufficient conditions are obtained based on output strict passivity and proportional plus derivative state feedback, which can guarantee that the closed-loop systems are normal and stable and satisfy a given $$H_\infty $$ performance. Proportional plus derivative state feedback sub-controllers with explicit expressions are designed. Proportional plus derivative state feedback can not only eliminate impulse phenomena, but also eliminate state jumps caused by incompatible initial conditions of subsystems at switching instants. A numerical example is given to verify the applicability of the results. Discrete-time switched singular systems control Output strict passivity Proportional plus derivative state feedback Wang, Ziyun aut Ji, Zhicheng aut Liu, Yunlong aut Enthalten in Circuits, systems and signal processing Springer US, 1982 39(2020), 8 vom: 31. Jan., Seite 3907-3924 (DE-627)130312134 (DE-600)588684-3 (DE-576)015889939 0278-081X nnns volume:39 year:2020 number:8 day:31 month:01 pages:3907-3924 https://doi.org/10.1007/s00034-020-01353-6 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC GBV_ILN_2244 AR 39 2020 8 31 01 3907-3924 |
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Abstract This work aims to study the problem of output strictly passive $$H_\infty $$ control for discrete-time linear switched singular systems. By using multiple storage functions and iteration technique, some sufficient conditions are obtained based on output strict passivity and proportional plus derivative state feedback, which can guarantee that the closed-loop systems are normal and stable and satisfy a given $$H_\infty $$ performance. Proportional plus derivative state feedback sub-controllers with explicit expressions are designed. Proportional plus derivative state feedback can not only eliminate impulse phenomena, but also eliminate state jumps caused by incompatible initial conditions of subsystems at switching instants. A numerical example is given to verify the applicability of the results. © Springer Science+Business Media, LLC, part of Springer Nature 2020 |
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Abstract This work aims to study the problem of output strictly passive $$H_\infty $$ control for discrete-time linear switched singular systems. By using multiple storage functions and iteration technique, some sufficient conditions are obtained based on output strict passivity and proportional plus derivative state feedback, which can guarantee that the closed-loop systems are normal and stable and satisfy a given $$H_\infty $$ performance. Proportional plus derivative state feedback sub-controllers with explicit expressions are designed. Proportional plus derivative state feedback can not only eliminate impulse phenomena, but also eliminate state jumps caused by incompatible initial conditions of subsystems at switching instants. A numerical example is given to verify the applicability of the results. © Springer Science+Business Media, LLC, part of Springer Nature 2020 |
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Abstract This work aims to study the problem of output strictly passive $$H_\infty $$ control for discrete-time linear switched singular systems. By using multiple storage functions and iteration technique, some sufficient conditions are obtained based on output strict passivity and proportional plus derivative state feedback, which can guarantee that the closed-loop systems are normal and stable and satisfy a given $$H_\infty $$ performance. Proportional plus derivative state feedback sub-controllers with explicit expressions are designed. Proportional plus derivative state feedback can not only eliminate impulse phenomena, but also eliminate state jumps caused by incompatible initial conditions of subsystems at switching instants. A numerical example is given to verify the applicability of the results. © Springer Science+Business Media, LLC, part of Springer Nature 2020 |
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10.1007/s00034-020-01353-6 |
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2024-07-03T22:44:48Z |
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<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a22002652 4500</leader><controlfield tag="001">OLC2034858492</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230504152618.0</controlfield><controlfield tag="007">tu</controlfield><controlfield tag="008">200819s2020 xx ||||| 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/s00034-020-01353-6</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)OLC2034858492</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-He213)s00034-020-01353-6-p</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">600</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Gao, Zairui</subfield><subfield code="e">verfasserin</subfield><subfield code="0">(orcid)0000-0001-8830-3687</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Output Strictly Passive $${{\varvec{H}}_\infty }$$ Control of Discrete-Time Linear Switched Singular Systems Via Proportional Plus Derivative State Feedback</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2020</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">ohne Hilfsmittel zu benutzen</subfield><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Band</subfield><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">© Springer Science+Business Media, LLC, part of Springer Nature 2020</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract This work aims to study the problem of output strictly passive $$H_\infty $$ control for discrete-time linear switched singular systems. By using multiple storage functions and iteration technique, some sufficient conditions are obtained based on output strict passivity and proportional plus derivative state feedback, which can guarantee that the closed-loop systems are normal and stable and satisfy a given $$H_\infty $$ performance. Proportional plus derivative state feedback sub-controllers with explicit expressions are designed. Proportional plus derivative state feedback can not only eliminate impulse phenomena, but also eliminate state jumps caused by incompatible initial conditions of subsystems at switching instants. 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