Event-triggered-based switching law design for switched systems
Abstract This paper addresses the event-triggered $$H_\infty $$ control for switched linear systems without stable subsystems. A novel event-triggered-based switching strategy is designed to remove the requirement of real-time availability of system state which is a prerequisite for the traditional...
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Gespeichert in:
| Autor*in: |
Zhang, Siyuan [verfasserIn] Zhao, Jun [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2024 |
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| Schlagwörter: |
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| Anmerkung: |
© The Author(s), under exclusive licence to Springer Nature B.V. 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. |
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| Übergeordnetes Werk: |
Enthalten in: Nonlinear dynamics - Springer Netherlands, 1990, 112(2024), 22 vom: 31. Juli, Seite 19985-19998 |
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| Übergeordnetes Werk: |
volume:112 ; year:2024 ; number:22 ; day:31 ; month:07 ; pages:19985-19998 |
| Links: |
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| DOI / URN: |
10.1007/s11071-024-10057-4 |
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| Katalog-ID: |
SPR057351295 |
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| 520 | |a Abstract This paper addresses the event-triggered $$H_\infty $$ control for switched linear systems without stable subsystems. A novel event-triggered-based switching strategy is designed to remove the requirement of real-time availability of system state which is a prerequisite for the traditional min-switching law to work. Instead, we only need to check the switching conditions at the discrete triggering instants, and unfavorable asynchronous switching behavior is also avoided. However, under the designed switching strategy, the value of the Lyapunov function may be increasing during the active interval caused by the possibility of the mismatch between the min-switching and triggering. To handle this challenge, we then construct an improved two-side looped-functional, which is also event-triggered-based and can remove conservative nonincreasing requirements of multiple Lyapunov functions. Sufficient conditions with less conservative for the considered switched linear systems to be asymptotically stable with $$H_\infty $$ performance are obtained. Besides, Zeno phenomenon of both switching and triggering is also avoided. Finally, two examples are exploited to verify the applicability and effectiveness of the developed method. | ||
| 650 | 4 | |a Switched linear systems |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Event-triggered |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Looped-functional |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Event-triggered-based switching law |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Zeno phenomenon |7 (dpeaa)DE-He213 | |
| 700 | 1 | |a Zhao, Jun |e verfasserin |4 aut | |
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10.1007/s11071-024-10057-4 doi (DE-627)SPR057351295 (SPR)s11071-024-10057-4-e DE-627 ger DE-627 rakwb eng 510 VZ 30.20 bkl Zhang, Siyuan verfasserin (orcid)0000-0002-2279-6471 aut Event-triggered-based switching law design for switched systems 2024 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to Springer Nature B.V. 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. Abstract This paper addresses the event-triggered $$H_\infty $$ control for switched linear systems without stable subsystems. A novel event-triggered-based switching strategy is designed to remove the requirement of real-time availability of system state which is a prerequisite for the traditional min-switching law to work. Instead, we only need to check the switching conditions at the discrete triggering instants, and unfavorable asynchronous switching behavior is also avoided. However, under the designed switching strategy, the value of the Lyapunov function may be increasing during the active interval caused by the possibility of the mismatch between the min-switching and triggering. To handle this challenge, we then construct an improved two-side looped-functional, which is also event-triggered-based and can remove conservative nonincreasing requirements of multiple Lyapunov functions. Sufficient conditions with less conservative for the considered switched linear systems to be asymptotically stable with $$H_\infty $$ performance are obtained. Besides, Zeno phenomenon of both switching and triggering is also avoided. Finally, two examples are exploited to verify the applicability and effectiveness of the developed method. Switched linear systems (dpeaa)DE-He213 Event-triggered (dpeaa)DE-He213 Looped-functional (dpeaa)DE-He213 Event-triggered-based switching law (dpeaa)DE-He213 Zeno phenomenon (dpeaa)DE-He213 Zhao, Jun verfasserin aut Enthalten in Nonlinear dynamics Springer Netherlands, 1990 112(2024), 22 vom: 31. Juli, Seite 19985-19998 (DE-627)315297034 (DE-600)2012600-1 1573-269X nnns volume:112 year:2024 number:22 day:31 month:07 pages:19985-19998 https://dx.doi.org/10.1007/s11071-024-10057-4 X:SPRINGER Resolving-System lizenzpflichtig Volltext SYSFLAG_0 GBV_SPRINGER SSG-OPC-MAT GBV_ILN_11 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_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 30.20 VZ AR 112 2024 22 31 07 19985-19998 |
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10.1007/s11071-024-10057-4 doi (DE-627)SPR057351295 (SPR)s11071-024-10057-4-e DE-627 ger DE-627 rakwb eng 510 VZ 30.20 bkl Zhang, Siyuan verfasserin (orcid)0000-0002-2279-6471 aut Event-triggered-based switching law design for switched systems 2024 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to Springer Nature B.V. 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. Abstract This paper addresses the event-triggered $$H_\infty $$ control for switched linear systems without stable subsystems. A novel event-triggered-based switching strategy is designed to remove the requirement of real-time availability of system state which is a prerequisite for the traditional min-switching law to work. Instead, we only need to check the switching conditions at the discrete triggering instants, and unfavorable asynchronous switching behavior is also avoided. However, under the designed switching strategy, the value of the Lyapunov function may be increasing during the active interval caused by the possibility of the mismatch between the min-switching and triggering. To handle this challenge, we then construct an improved two-side looped-functional, which is also event-triggered-based and can remove conservative nonincreasing requirements of multiple Lyapunov functions. Sufficient conditions with less conservative for the considered switched linear systems to be asymptotically stable with $$H_\infty $$ performance are obtained. Besides, Zeno phenomenon of both switching and triggering is also avoided. Finally, two examples are exploited to verify the applicability and effectiveness of the developed method. Switched linear systems (dpeaa)DE-He213 Event-triggered (dpeaa)DE-He213 Looped-functional (dpeaa)DE-He213 Event-triggered-based switching law (dpeaa)DE-He213 Zeno phenomenon (dpeaa)DE-He213 Zhao, Jun verfasserin aut Enthalten in Nonlinear dynamics Springer Netherlands, 1990 112(2024), 22 vom: 31. Juli, Seite 19985-19998 (DE-627)315297034 (DE-600)2012600-1 1573-269X nnns volume:112 year:2024 number:22 day:31 month:07 pages:19985-19998 https://dx.doi.org/10.1007/s11071-024-10057-4 X:SPRINGER Resolving-System lizenzpflichtig Volltext SYSFLAG_0 GBV_SPRINGER SSG-OPC-MAT GBV_ILN_11 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_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 30.20 VZ AR 112 2024 22 31 07 19985-19998 |
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10.1007/s11071-024-10057-4 doi (DE-627)SPR057351295 (SPR)s11071-024-10057-4-e DE-627 ger DE-627 rakwb eng 510 VZ 30.20 bkl Zhang, Siyuan verfasserin (orcid)0000-0002-2279-6471 aut Event-triggered-based switching law design for switched systems 2024 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to Springer Nature B.V. 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. Abstract This paper addresses the event-triggered $$H_\infty $$ control for switched linear systems without stable subsystems. A novel event-triggered-based switching strategy is designed to remove the requirement of real-time availability of system state which is a prerequisite for the traditional min-switching law to work. Instead, we only need to check the switching conditions at the discrete triggering instants, and unfavorable asynchronous switching behavior is also avoided. However, under the designed switching strategy, the value of the Lyapunov function may be increasing during the active interval caused by the possibility of the mismatch between the min-switching and triggering. To handle this challenge, we then construct an improved two-side looped-functional, which is also event-triggered-based and can remove conservative nonincreasing requirements of multiple Lyapunov functions. Sufficient conditions with less conservative for the considered switched linear systems to be asymptotically stable with $$H_\infty $$ performance are obtained. Besides, Zeno phenomenon of both switching and triggering is also avoided. Finally, two examples are exploited to verify the applicability and effectiveness of the developed method. Switched linear systems (dpeaa)DE-He213 Event-triggered (dpeaa)DE-He213 Looped-functional (dpeaa)DE-He213 Event-triggered-based switching law (dpeaa)DE-He213 Zeno phenomenon (dpeaa)DE-He213 Zhao, Jun verfasserin aut Enthalten in Nonlinear dynamics Springer Netherlands, 1990 112(2024), 22 vom: 31. Juli, Seite 19985-19998 (DE-627)315297034 (DE-600)2012600-1 1573-269X nnns volume:112 year:2024 number:22 day:31 month:07 pages:19985-19998 https://dx.doi.org/10.1007/s11071-024-10057-4 X:SPRINGER Resolving-System lizenzpflichtig Volltext SYSFLAG_0 GBV_SPRINGER SSG-OPC-MAT GBV_ILN_11 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_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 30.20 VZ AR 112 2024 22 31 07 19985-19998 |
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10.1007/s11071-024-10057-4 doi (DE-627)SPR057351295 (SPR)s11071-024-10057-4-e DE-627 ger DE-627 rakwb eng 510 VZ 30.20 bkl Zhang, Siyuan verfasserin (orcid)0000-0002-2279-6471 aut Event-triggered-based switching law design for switched systems 2024 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to Springer Nature B.V. 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. Abstract This paper addresses the event-triggered $$H_\infty $$ control for switched linear systems without stable subsystems. A novel event-triggered-based switching strategy is designed to remove the requirement of real-time availability of system state which is a prerequisite for the traditional min-switching law to work. Instead, we only need to check the switching conditions at the discrete triggering instants, and unfavorable asynchronous switching behavior is also avoided. However, under the designed switching strategy, the value of the Lyapunov function may be increasing during the active interval caused by the possibility of the mismatch between the min-switching and triggering. To handle this challenge, we then construct an improved two-side looped-functional, which is also event-triggered-based and can remove conservative nonincreasing requirements of multiple Lyapunov functions. Sufficient conditions with less conservative for the considered switched linear systems to be asymptotically stable with $$H_\infty $$ performance are obtained. Besides, Zeno phenomenon of both switching and triggering is also avoided. Finally, two examples are exploited to verify the applicability and effectiveness of the developed method. Switched linear systems (dpeaa)DE-He213 Event-triggered (dpeaa)DE-He213 Looped-functional (dpeaa)DE-He213 Event-triggered-based switching law (dpeaa)DE-He213 Zeno phenomenon (dpeaa)DE-He213 Zhao, Jun verfasserin aut Enthalten in Nonlinear dynamics Springer Netherlands, 1990 112(2024), 22 vom: 31. Juli, Seite 19985-19998 (DE-627)315297034 (DE-600)2012600-1 1573-269X nnns volume:112 year:2024 number:22 day:31 month:07 pages:19985-19998 https://dx.doi.org/10.1007/s11071-024-10057-4 X:SPRINGER Resolving-System lizenzpflichtig Volltext SYSFLAG_0 GBV_SPRINGER SSG-OPC-MAT GBV_ILN_11 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_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 30.20 VZ AR 112 2024 22 31 07 19985-19998 |
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10.1007/s11071-024-10057-4 doi (DE-627)SPR057351295 (SPR)s11071-024-10057-4-e DE-627 ger DE-627 rakwb eng 510 VZ 30.20 bkl Zhang, Siyuan verfasserin (orcid)0000-0002-2279-6471 aut Event-triggered-based switching law design for switched systems 2024 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to Springer Nature B.V. 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. Abstract This paper addresses the event-triggered $$H_\infty $$ control for switched linear systems without stable subsystems. A novel event-triggered-based switching strategy is designed to remove the requirement of real-time availability of system state which is a prerequisite for the traditional min-switching law to work. Instead, we only need to check the switching conditions at the discrete triggering instants, and unfavorable asynchronous switching behavior is also avoided. However, under the designed switching strategy, the value of the Lyapunov function may be increasing during the active interval caused by the possibility of the mismatch between the min-switching and triggering. To handle this challenge, we then construct an improved two-side looped-functional, which is also event-triggered-based and can remove conservative nonincreasing requirements of multiple Lyapunov functions. Sufficient conditions with less conservative for the considered switched linear systems to be asymptotically stable with $$H_\infty $$ performance are obtained. Besides, Zeno phenomenon of both switching and triggering is also avoided. Finally, two examples are exploited to verify the applicability and effectiveness of the developed method. Switched linear systems (dpeaa)DE-He213 Event-triggered (dpeaa)DE-He213 Looped-functional (dpeaa)DE-He213 Event-triggered-based switching law (dpeaa)DE-He213 Zeno phenomenon (dpeaa)DE-He213 Zhao, Jun verfasserin aut Enthalten in Nonlinear dynamics Springer Netherlands, 1990 112(2024), 22 vom: 31. Juli, Seite 19985-19998 (DE-627)315297034 (DE-600)2012600-1 1573-269X nnns volume:112 year:2024 number:22 day:31 month:07 pages:19985-19998 https://dx.doi.org/10.1007/s11071-024-10057-4 X:SPRINGER Resolving-System lizenzpflichtig Volltext SYSFLAG_0 GBV_SPRINGER SSG-OPC-MAT GBV_ILN_11 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_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 30.20 VZ AR 112 2024 22 31 07 19985-19998 |
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Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract This paper addresses the event-triggered $$H_\infty $$ control for switched linear systems without stable subsystems. A novel event-triggered-based switching strategy is designed to remove the requirement of real-time availability of system state which is a prerequisite for the traditional min-switching law to work. Instead, we only need to check the switching conditions at the discrete triggering instants, and unfavorable asynchronous switching behavior is also avoided. 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Event-triggered-based switching law design for switched systems |
| abstract |
Abstract This paper addresses the event-triggered $$H_\infty $$ control for switched linear systems without stable subsystems. A novel event-triggered-based switching strategy is designed to remove the requirement of real-time availability of system state which is a prerequisite for the traditional min-switching law to work. Instead, we only need to check the switching conditions at the discrete triggering instants, and unfavorable asynchronous switching behavior is also avoided. However, under the designed switching strategy, the value of the Lyapunov function may be increasing during the active interval caused by the possibility of the mismatch between the min-switching and triggering. To handle this challenge, we then construct an improved two-side looped-functional, which is also event-triggered-based and can remove conservative nonincreasing requirements of multiple Lyapunov functions. Sufficient conditions with less conservative for the considered switched linear systems to be asymptotically stable with $$H_\infty $$ performance are obtained. Besides, Zeno phenomenon of both switching and triggering is also avoided. Finally, two examples are exploited to verify the applicability and effectiveness of the developed method. © The Author(s), under exclusive licence to Springer Nature B.V. 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. |
| abstractGer |
Abstract This paper addresses the event-triggered $$H_\infty $$ control for switched linear systems without stable subsystems. A novel event-triggered-based switching strategy is designed to remove the requirement of real-time availability of system state which is a prerequisite for the traditional min-switching law to work. Instead, we only need to check the switching conditions at the discrete triggering instants, and unfavorable asynchronous switching behavior is also avoided. However, under the designed switching strategy, the value of the Lyapunov function may be increasing during the active interval caused by the possibility of the mismatch between the min-switching and triggering. To handle this challenge, we then construct an improved two-side looped-functional, which is also event-triggered-based and can remove conservative nonincreasing requirements of multiple Lyapunov functions. Sufficient conditions with less conservative for the considered switched linear systems to be asymptotically stable with $$H_\infty $$ performance are obtained. Besides, Zeno phenomenon of both switching and triggering is also avoided. Finally, two examples are exploited to verify the applicability and effectiveness of the developed method. © The Author(s), under exclusive licence to Springer Nature B.V. 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. |
| abstract_unstemmed |
Abstract This paper addresses the event-triggered $$H_\infty $$ control for switched linear systems without stable subsystems. A novel event-triggered-based switching strategy is designed to remove the requirement of real-time availability of system state which is a prerequisite for the traditional min-switching law to work. Instead, we only need to check the switching conditions at the discrete triggering instants, and unfavorable asynchronous switching behavior is also avoided. However, under the designed switching strategy, the value of the Lyapunov function may be increasing during the active interval caused by the possibility of the mismatch between the min-switching and triggering. To handle this challenge, we then construct an improved two-side looped-functional, which is also event-triggered-based and can remove conservative nonincreasing requirements of multiple Lyapunov functions. Sufficient conditions with less conservative for the considered switched linear systems to be asymptotically stable with $$H_\infty $$ performance are obtained. Besides, Zeno phenomenon of both switching and triggering is also avoided. Finally, two examples are exploited to verify the applicability and effectiveness of the developed method. © The Author(s), under exclusive licence to Springer Nature B.V. 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. |
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Event-triggered-based switching law design for switched systems |
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https://dx.doi.org/10.1007/s11071-024-10057-4 |
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Zhao, Jun |
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Zhao, Jun |
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10.1007/s11071-024-10057-4 |
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2024-09-18T04:48:44.961Z |
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| score |
7.400361 |