Input-output Approach and Scaled Small Gain Theorem Analysis to Sampled-data Systems with Time-varying Delay
Abstract This article presents some novel results on sampled-data H∞ control for a class of linear systems. The proposed system is affected by time-varying delay and external disturbance. The main goal of this paper is to transform the original system into an equivalent two interconnected subsystems...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Lamrabet, Ouarda [verfasserIn] Tissir, El Houssaine [verfasserIn] El Fezazi, Nabil [verfasserIn] El Haoussi, Fatima [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2020 |
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| Schlagwörter: |
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| Übergeordnetes Werk: |
Enthalten in: International Journal of Control, Automation and Systems - Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers, 2009, 18(2020), 9 vom: 07. Apr., Seite 2242-2250 |
|---|---|
| Übergeordnetes Werk: |
volume:18 ; year:2020 ; number:9 ; day:07 ; month:04 ; pages:2242-2250 |
| Links: |
|---|
| DOI / URN: |
10.1007/s12555-019-0173-5 |
|---|
| Katalog-ID: |
SPR040809692 |
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| 520 | |a Abstract This article presents some novel results on sampled-data H∞ control for a class of linear systems. The proposed system is affected by time-varying delay and external disturbance. The main goal of this paper is to transform the original system into an equivalent two interconnected subsystems through the combination of input-output approach and scaled small gain (SSG) theorem. Then, the three term approximation method is adopted to approximate the time-varying delay. By incorporating Lyapunov-Krasovskii functional and wirtinger integral inequality, a new set of sufficient conditions is obtained in terms of linear matrix inequalities (LMIs), which guarantee the stability of the closed loop system, and a H∞ norm bound performances. Finally, the applicability of the developed control design technique and its less conservativeness over other existing ones are proven by means of simulation examples. | ||
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| 650 | 4 | |a time-varying delay |7 (dpeaa)DE-He213 | |
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| 700 | 1 | |a El Fezazi, Nabil |e verfasserin |4 aut | |
| 700 | 1 | |a El Haoussi, Fatima |e verfasserin |4 aut | |
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10.1007/s12555-019-0173-5 doi (DE-627)SPR040809692 (SPR)s12555-019-0173-5-e DE-627 ger DE-627 rakwb eng Lamrabet, Ouarda verfasserin aut Input-output Approach and Scaled Small Gain Theorem Analysis to Sampled-data Systems with Time-varying Delay 2020 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract This article presents some novel results on sampled-data H∞ control for a class of linear systems. The proposed system is affected by time-varying delay and external disturbance. The main goal of this paper is to transform the original system into an equivalent two interconnected subsystems through the combination of input-output approach and scaled small gain (SSG) theorem. Then, the three term approximation method is adopted to approximate the time-varying delay. By incorporating Lyapunov-Krasovskii functional and wirtinger integral inequality, a new set of sufficient conditions is obtained in terms of linear matrix inequalities (LMIs), which guarantee the stability of the closed loop system, and a H∞ norm bound performances. Finally, the applicability of the developed control design technique and its less conservativeness over other existing ones are proven by means of simulation examples. control (dpeaa)DE-He213 sampled-data control (dpeaa)DE-He213 scaled small gain theorem (dpeaa)DE-He213 time-varying delay (dpeaa)DE-He213 Tissir, El Houssaine verfasserin aut El Fezazi, Nabil verfasserin aut El Haoussi, Fatima verfasserin aut Enthalten in International Journal of Control, Automation and Systems Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers, 2009 18(2020), 9 vom: 07. Apr., Seite 2242-2250 (DE-627)SPR026303256 nnns volume:18 year:2020 number:9 day:07 month:04 pages:2242-2250 https://dx.doi.org/10.1007/s12555-019-0173-5 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_21 GBV_ILN_24 GBV_ILN_72 GBV_ILN_181 GBV_ILN_496 GBV_ILN_2002 GBV_ILN_2003 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2060 GBV_ILN_2470 AR 18 2020 9 07 04 2242-2250 |
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10.1007/s12555-019-0173-5 doi (DE-627)SPR040809692 (SPR)s12555-019-0173-5-e DE-627 ger DE-627 rakwb eng Lamrabet, Ouarda verfasserin aut Input-output Approach and Scaled Small Gain Theorem Analysis to Sampled-data Systems with Time-varying Delay 2020 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract This article presents some novel results on sampled-data H∞ control for a class of linear systems. The proposed system is affected by time-varying delay and external disturbance. The main goal of this paper is to transform the original system into an equivalent two interconnected subsystems through the combination of input-output approach and scaled small gain (SSG) theorem. Then, the three term approximation method is adopted to approximate the time-varying delay. By incorporating Lyapunov-Krasovskii functional and wirtinger integral inequality, a new set of sufficient conditions is obtained in terms of linear matrix inequalities (LMIs), which guarantee the stability of the closed loop system, and a H∞ norm bound performances. Finally, the applicability of the developed control design technique and its less conservativeness over other existing ones are proven by means of simulation examples. control (dpeaa)DE-He213 sampled-data control (dpeaa)DE-He213 scaled small gain theorem (dpeaa)DE-He213 time-varying delay (dpeaa)DE-He213 Tissir, El Houssaine verfasserin aut El Fezazi, Nabil verfasserin aut El Haoussi, Fatima verfasserin aut Enthalten in International Journal of Control, Automation and Systems Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers, 2009 18(2020), 9 vom: 07. Apr., Seite 2242-2250 (DE-627)SPR026303256 nnns volume:18 year:2020 number:9 day:07 month:04 pages:2242-2250 https://dx.doi.org/10.1007/s12555-019-0173-5 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_21 GBV_ILN_24 GBV_ILN_72 GBV_ILN_181 GBV_ILN_496 GBV_ILN_2002 GBV_ILN_2003 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2060 GBV_ILN_2470 AR 18 2020 9 07 04 2242-2250 |
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10.1007/s12555-019-0173-5 doi (DE-627)SPR040809692 (SPR)s12555-019-0173-5-e DE-627 ger DE-627 rakwb eng Lamrabet, Ouarda verfasserin aut Input-output Approach and Scaled Small Gain Theorem Analysis to Sampled-data Systems with Time-varying Delay 2020 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract This article presents some novel results on sampled-data H∞ control for a class of linear systems. The proposed system is affected by time-varying delay and external disturbance. The main goal of this paper is to transform the original system into an equivalent two interconnected subsystems through the combination of input-output approach and scaled small gain (SSG) theorem. Then, the three term approximation method is adopted to approximate the time-varying delay. By incorporating Lyapunov-Krasovskii functional and wirtinger integral inequality, a new set of sufficient conditions is obtained in terms of linear matrix inequalities (LMIs), which guarantee the stability of the closed loop system, and a H∞ norm bound performances. Finally, the applicability of the developed control design technique and its less conservativeness over other existing ones are proven by means of simulation examples. control (dpeaa)DE-He213 sampled-data control (dpeaa)DE-He213 scaled small gain theorem (dpeaa)DE-He213 time-varying delay (dpeaa)DE-He213 Tissir, El Houssaine verfasserin aut El Fezazi, Nabil verfasserin aut El Haoussi, Fatima verfasserin aut Enthalten in International Journal of Control, Automation and Systems Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers, 2009 18(2020), 9 vom: 07. Apr., Seite 2242-2250 (DE-627)SPR026303256 nnns volume:18 year:2020 number:9 day:07 month:04 pages:2242-2250 https://dx.doi.org/10.1007/s12555-019-0173-5 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_21 GBV_ILN_24 GBV_ILN_72 GBV_ILN_181 GBV_ILN_496 GBV_ILN_2002 GBV_ILN_2003 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2060 GBV_ILN_2470 AR 18 2020 9 07 04 2242-2250 |
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10.1007/s12555-019-0173-5 doi (DE-627)SPR040809692 (SPR)s12555-019-0173-5-e DE-627 ger DE-627 rakwb eng Lamrabet, Ouarda verfasserin aut Input-output Approach and Scaled Small Gain Theorem Analysis to Sampled-data Systems with Time-varying Delay 2020 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract This article presents some novel results on sampled-data H∞ control for a class of linear systems. The proposed system is affected by time-varying delay and external disturbance. The main goal of this paper is to transform the original system into an equivalent two interconnected subsystems through the combination of input-output approach and scaled small gain (SSG) theorem. Then, the three term approximation method is adopted to approximate the time-varying delay. By incorporating Lyapunov-Krasovskii functional and wirtinger integral inequality, a new set of sufficient conditions is obtained in terms of linear matrix inequalities (LMIs), which guarantee the stability of the closed loop system, and a H∞ norm bound performances. Finally, the applicability of the developed control design technique and its less conservativeness over other existing ones are proven by means of simulation examples. control (dpeaa)DE-He213 sampled-data control (dpeaa)DE-He213 scaled small gain theorem (dpeaa)DE-He213 time-varying delay (dpeaa)DE-He213 Tissir, El Houssaine verfasserin aut El Fezazi, Nabil verfasserin aut El Haoussi, Fatima verfasserin aut Enthalten in International Journal of Control, Automation and Systems Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers, 2009 18(2020), 9 vom: 07. Apr., Seite 2242-2250 (DE-627)SPR026303256 nnns volume:18 year:2020 number:9 day:07 month:04 pages:2242-2250 https://dx.doi.org/10.1007/s12555-019-0173-5 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_21 GBV_ILN_24 GBV_ILN_72 GBV_ILN_181 GBV_ILN_496 GBV_ILN_2002 GBV_ILN_2003 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2060 GBV_ILN_2470 AR 18 2020 9 07 04 2242-2250 |
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10.1007/s12555-019-0173-5 doi (DE-627)SPR040809692 (SPR)s12555-019-0173-5-e DE-627 ger DE-627 rakwb eng Lamrabet, Ouarda verfasserin aut Input-output Approach and Scaled Small Gain Theorem Analysis to Sampled-data Systems with Time-varying Delay 2020 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract This article presents some novel results on sampled-data H∞ control for a class of linear systems. The proposed system is affected by time-varying delay and external disturbance. The main goal of this paper is to transform the original system into an equivalent two interconnected subsystems through the combination of input-output approach and scaled small gain (SSG) theorem. Then, the three term approximation method is adopted to approximate the time-varying delay. By incorporating Lyapunov-Krasovskii functional and wirtinger integral inequality, a new set of sufficient conditions is obtained in terms of linear matrix inequalities (LMIs), which guarantee the stability of the closed loop system, and a H∞ norm bound performances. Finally, the applicability of the developed control design technique and its less conservativeness over other existing ones are proven by means of simulation examples. control (dpeaa)DE-He213 sampled-data control (dpeaa)DE-He213 scaled small gain theorem (dpeaa)DE-He213 time-varying delay (dpeaa)DE-He213 Tissir, El Houssaine verfasserin aut El Fezazi, Nabil verfasserin aut El Haoussi, Fatima verfasserin aut Enthalten in International Journal of Control, Automation and Systems Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers, 2009 18(2020), 9 vom: 07. Apr., Seite 2242-2250 (DE-627)SPR026303256 nnns volume:18 year:2020 number:9 day:07 month:04 pages:2242-2250 https://dx.doi.org/10.1007/s12555-019-0173-5 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_21 GBV_ILN_24 GBV_ILN_72 GBV_ILN_181 GBV_ILN_496 GBV_ILN_2002 GBV_ILN_2003 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2060 GBV_ILN_2470 AR 18 2020 9 07 04 2242-2250 |
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Lamrabet, Ouarda Tissir, El Houssaine El Fezazi, Nabil El Haoussi, Fatima |
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input-output approach and scaled small gain theorem analysis to sampled-data systems with time-varying delay |
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Input-output Approach and Scaled Small Gain Theorem Analysis to Sampled-data Systems with Time-varying Delay |
| abstract |
Abstract This article presents some novel results on sampled-data H∞ control for a class of linear systems. The proposed system is affected by time-varying delay and external disturbance. The main goal of this paper is to transform the original system into an equivalent two interconnected subsystems through the combination of input-output approach and scaled small gain (SSG) theorem. Then, the three term approximation method is adopted to approximate the time-varying delay. By incorporating Lyapunov-Krasovskii functional and wirtinger integral inequality, a new set of sufficient conditions is obtained in terms of linear matrix inequalities (LMIs), which guarantee the stability of the closed loop system, and a H∞ norm bound performances. Finally, the applicability of the developed control design technique and its less conservativeness over other existing ones are proven by means of simulation examples. |
| abstractGer |
Abstract This article presents some novel results on sampled-data H∞ control for a class of linear systems. The proposed system is affected by time-varying delay and external disturbance. The main goal of this paper is to transform the original system into an equivalent two interconnected subsystems through the combination of input-output approach and scaled small gain (SSG) theorem. Then, the three term approximation method is adopted to approximate the time-varying delay. By incorporating Lyapunov-Krasovskii functional and wirtinger integral inequality, a new set of sufficient conditions is obtained in terms of linear matrix inequalities (LMIs), which guarantee the stability of the closed loop system, and a H∞ norm bound performances. Finally, the applicability of the developed control design technique and its less conservativeness over other existing ones are proven by means of simulation examples. |
| abstract_unstemmed |
Abstract This article presents some novel results on sampled-data H∞ control for a class of linear systems. The proposed system is affected by time-varying delay and external disturbance. The main goal of this paper is to transform the original system into an equivalent two interconnected subsystems through the combination of input-output approach and scaled small gain (SSG) theorem. Then, the three term approximation method is adopted to approximate the time-varying delay. By incorporating Lyapunov-Krasovskii functional and wirtinger integral inequality, a new set of sufficient conditions is obtained in terms of linear matrix inequalities (LMIs), which guarantee the stability of the closed loop system, and a H∞ norm bound performances. Finally, the applicability of the developed control design technique and its less conservativeness over other existing ones are proven by means of simulation examples. |
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Input-output Approach and Scaled Small Gain Theorem Analysis to Sampled-data Systems with Time-varying Delay |
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