Observer-based control for fractional-order singular systems with order α (0 < α < 1) and input delay

Abstract In this paper, observer-based control for fractional-order singular systems with order α (0 < α < 1) and input delay is studied. On the basis of the Smith predictor and approximation error, the system with input delay is approximately equivalent to the system without input delay. Furt...
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Autor*in:	Li, Bingxin [verfasserIn] Zhao, Xiangfei Zhang, Xuefeng Zhao, Xin

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2022

Anmerkung:	© Zhejiang University Press 2022

Übergeordnetes Werk:	Enthalten in: Journal of Zhejiang University - Hangzhou : Zhejiang Univ. Press, 2010, 23(2022), 12 vom: Dez., Seite 1862-1870
Übergeordnetes Werk:	volume:23 ; year:2022 ; number:12 ; month:12 ; pages:1862-1870

Links:	Volltext

DOI / URN:	10.1631/FITEE.2200294

Katalog-ID:	SPR051226235

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520			\|a Abstract In this paper, observer-based control for fractional-order singular systems with order α (0 < α < 1) and input delay is studied. On the basis of the Smith predictor and approximation error, the system with input delay is approximately equivalent to the system without input delay. Furthermore, based on the linear matrix inequality (LMI) technique, the necessary and sufficient condition of observer-based control is proposed. Since the condition is a nonstrict LMI, including the equality constraint, it will lead to some trouble when solving problems using toolbox. Thus, the strict LMI-based condition is improved in the paper. Finally, a numerical example and a direct current motor example are given to illustrate the effectiveness of the strict LMI-based condition.
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allfields	10.1631/FITEE.2200294 doi (DE-627)SPR051226235 (SPR)FITEE.2200294-e DE-627 ger DE-627 rakwb eng Li, Bingxin verfasserin (orcid)0000-0002-7154-2240 aut Observer-based control for fractional-order singular systems with order α (0 < α < 1) and input delay 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Zhejiang University Press 2022 Abstract In this paper, observer-based control for fractional-order singular systems with order α (0 < α < 1) and input delay is studied. On the basis of the Smith predictor and approximation error, the system with input delay is approximately equivalent to the system without input delay. Furthermore, based on the linear matrix inequality (LMI) technique, the necessary and sufficient condition of observer-based control is proposed. Since the condition is a nonstrict LMI, including the equality constraint, it will lead to some trouble when solving problems using toolbox. Thus, the strict LMI-based condition is improved in the paper. Finally, a numerical example and a direct current motor example are given to illustrate the effectiveness of the strict LMI-based condition. Zhao, Xiangfei aut Zhang, Xuefeng aut Zhao, Xin aut Enthalten in Journal of Zhejiang University Hangzhou : Zhejiang Univ. Press, 2010 23(2022), 12 vom: Dez., Seite 1862-1870 (DE-627)618789693 (DE-600)2537865-X 1869-196X nnns volume:23 year:2022 number:12 month:12 pages:1862-1870 https://dx.doi.org/10.1631/FITEE.2200294 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER 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_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_121 GBV_ILN_138 GBV_ILN_152 GBV_ILN_161 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_224 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_647 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2005 GBV_ILN_2007 GBV_ILN_2009 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2018 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2059 GBV_ILN_2064 GBV_ILN_2068 GBV_ILN_2106 GBV_ILN_2108 GBV_ILN_2111 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 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_2190 AR 23 2022 12 12 1862-1870
spelling	10.1631/FITEE.2200294 doi (DE-627)SPR051226235 (SPR)FITEE.2200294-e DE-627 ger DE-627 rakwb eng Li, Bingxin verfasserin (orcid)0000-0002-7154-2240 aut Observer-based control for fractional-order singular systems with order α (0 < α < 1) and input delay 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Zhejiang University Press 2022 Abstract In this paper, observer-based control for fractional-order singular systems with order α (0 < α < 1) and input delay is studied. On the basis of the Smith predictor and approximation error, the system with input delay is approximately equivalent to the system without input delay. Furthermore, based on the linear matrix inequality (LMI) technique, the necessary and sufficient condition of observer-based control is proposed. Since the condition is a nonstrict LMI, including the equality constraint, it will lead to some trouble when solving problems using toolbox. Thus, the strict LMI-based condition is improved in the paper. Finally, a numerical example and a direct current motor example are given to illustrate the effectiveness of the strict LMI-based condition. Zhao, Xiangfei aut Zhang, Xuefeng aut Zhao, Xin aut Enthalten in Journal of Zhejiang University Hangzhou : Zhejiang Univ. Press, 2010 23(2022), 12 vom: Dez., Seite 1862-1870 (DE-627)618789693 (DE-600)2537865-X 1869-196X nnns volume:23 year:2022 number:12 month:12 pages:1862-1870 https://dx.doi.org/10.1631/FITEE.2200294 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER 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_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_121 GBV_ILN_138 GBV_ILN_152 GBV_ILN_161 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_224 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_647 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2005 GBV_ILN_2007 GBV_ILN_2009 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2018 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2059 GBV_ILN_2064 GBV_ILN_2068 GBV_ILN_2106 GBV_ILN_2108 GBV_ILN_2111 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 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_2190 AR 23 2022 12 12 1862-1870
allfields_unstemmed	10.1631/FITEE.2200294 doi (DE-627)SPR051226235 (SPR)FITEE.2200294-e DE-627 ger DE-627 rakwb eng Li, Bingxin verfasserin (orcid)0000-0002-7154-2240 aut Observer-based control for fractional-order singular systems with order α (0 < α < 1) and input delay 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Zhejiang University Press 2022 Abstract In this paper, observer-based control for fractional-order singular systems with order α (0 < α < 1) and input delay is studied. On the basis of the Smith predictor and approximation error, the system with input delay is approximately equivalent to the system without input delay. Furthermore, based on the linear matrix inequality (LMI) technique, the necessary and sufficient condition of observer-based control is proposed. Since the condition is a nonstrict LMI, including the equality constraint, it will lead to some trouble when solving problems using toolbox. Thus, the strict LMI-based condition is improved in the paper. Finally, a numerical example and a direct current motor example are given to illustrate the effectiveness of the strict LMI-based condition. Zhao, Xiangfei aut Zhang, Xuefeng aut Zhao, Xin aut Enthalten in Journal of Zhejiang University Hangzhou : Zhejiang Univ. Press, 2010 23(2022), 12 vom: Dez., Seite 1862-1870 (DE-627)618789693 (DE-600)2537865-X 1869-196X nnns volume:23 year:2022 number:12 month:12 pages:1862-1870 https://dx.doi.org/10.1631/FITEE.2200294 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER 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_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_121 GBV_ILN_138 GBV_ILN_152 GBV_ILN_161 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_224 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_647 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2005 GBV_ILN_2007 GBV_ILN_2009 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2018 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2059 GBV_ILN_2064 GBV_ILN_2068 GBV_ILN_2106 GBV_ILN_2108 GBV_ILN_2111 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 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_2190 AR 23 2022 12 12 1862-1870
allfieldsGer	10.1631/FITEE.2200294 doi (DE-627)SPR051226235 (SPR)FITEE.2200294-e DE-627 ger DE-627 rakwb eng Li, Bingxin verfasserin (orcid)0000-0002-7154-2240 aut Observer-based control for fractional-order singular systems with order α (0 < α < 1) and input delay 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Zhejiang University Press 2022 Abstract In this paper, observer-based control for fractional-order singular systems with order α (0 < α < 1) and input delay is studied. On the basis of the Smith predictor and approximation error, the system with input delay is approximately equivalent to the system without input delay. Furthermore, based on the linear matrix inequality (LMI) technique, the necessary and sufficient condition of observer-based control is proposed. Since the condition is a nonstrict LMI, including the equality constraint, it will lead to some trouble when solving problems using toolbox. Thus, the strict LMI-based condition is improved in the paper. Finally, a numerical example and a direct current motor example are given to illustrate the effectiveness of the strict LMI-based condition. Zhao, Xiangfei aut Zhang, Xuefeng aut Zhao, Xin aut Enthalten in Journal of Zhejiang University Hangzhou : Zhejiang Univ. Press, 2010 23(2022), 12 vom: Dez., Seite 1862-1870 (DE-627)618789693 (DE-600)2537865-X 1869-196X nnns volume:23 year:2022 number:12 month:12 pages:1862-1870 https://dx.doi.org/10.1631/FITEE.2200294 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER 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_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_121 GBV_ILN_138 GBV_ILN_152 GBV_ILN_161 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_224 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_647 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2005 GBV_ILN_2007 GBV_ILN_2009 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2018 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2059 GBV_ILN_2064 GBV_ILN_2068 GBV_ILN_2106 GBV_ILN_2108 GBV_ILN_2111 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 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_2190 AR 23 2022 12 12 1862-1870
allfieldsSound	10.1631/FITEE.2200294 doi (DE-627)SPR051226235 (SPR)FITEE.2200294-e DE-627 ger DE-627 rakwb eng Li, Bingxin verfasserin (orcid)0000-0002-7154-2240 aut Observer-based control for fractional-order singular systems with order α (0 < α < 1) and input delay 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Zhejiang University Press 2022 Abstract In this paper, observer-based control for fractional-order singular systems with order α (0 < α < 1) and input delay is studied. On the basis of the Smith predictor and approximation error, the system with input delay is approximately equivalent to the system without input delay. Furthermore, based on the linear matrix inequality (LMI) technique, the necessary and sufficient condition of observer-based control is proposed. Since the condition is a nonstrict LMI, including the equality constraint, it will lead to some trouble when solving problems using toolbox. Thus, the strict LMI-based condition is improved in the paper. Finally, a numerical example and a direct current motor example are given to illustrate the effectiveness of the strict LMI-based condition. Zhao, Xiangfei aut Zhang, Xuefeng aut Zhao, Xin aut Enthalten in Journal of Zhejiang University Hangzhou : Zhejiang Univ. Press, 2010 23(2022), 12 vom: Dez., Seite 1862-1870 (DE-627)618789693 (DE-600)2537865-X 1869-196X nnns volume:23 year:2022 number:12 month:12 pages:1862-1870 https://dx.doi.org/10.1631/FITEE.2200294 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER 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_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_121 GBV_ILN_138 GBV_ILN_152 GBV_ILN_161 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_224 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_647 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2005 GBV_ILN_2007 GBV_ILN_2009 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2018 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2059 GBV_ILN_2064 GBV_ILN_2068 GBV_ILN_2106 GBV_ILN_2108 GBV_ILN_2111 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 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_2190 AR 23 2022 12 12 1862-1870
language	English
source	Enthalten in Journal of Zhejiang University 23(2022), 12 vom: Dez., Seite 1862-1870 volume:23 year:2022 number:12 month:12 pages:1862-1870
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authorswithroles_txt_mv	Li, Bingxin @@aut@@ Zhao, Xiangfei @@aut@@ Zhang, Xuefeng @@aut@@ Zhao, Xin @@aut@@
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author	Li, Bingxin
spellingShingle	Li, Bingxin Observer-based control for fractional-order singular systems with order α (0 < α < 1) and input delay
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title	Observer-based control for fractional-order singular systems with order α (0 < α < 1) and input delay
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title_full	Observer-based control for fractional-order singular systems with order α (0 < α < 1) and input delay
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title_sort	observer-based control for fractional-order singular systems with order α (0 < α < 1) and input delay
title_auth	Observer-based control for fractional-order singular systems with order α (0 < α < 1) and input delay
abstract	Abstract In this paper, observer-based control for fractional-order singular systems with order α (0 < α < 1) and input delay is studied. On the basis of the Smith predictor and approximation error, the system with input delay is approximately equivalent to the system without input delay. Furthermore, based on the linear matrix inequality (LMI) technique, the necessary and sufficient condition of observer-based control is proposed. Since the condition is a nonstrict LMI, including the equality constraint, it will lead to some trouble when solving problems using toolbox. Thus, the strict LMI-based condition is improved in the paper. Finally, a numerical example and a direct current motor example are given to illustrate the effectiveness of the strict LMI-based condition. © Zhejiang University Press 2022
abstractGer	Abstract In this paper, observer-based control for fractional-order singular systems with order α (0 < α < 1) and input delay is studied. On the basis of the Smith predictor and approximation error, the system with input delay is approximately equivalent to the system without input delay. Furthermore, based on the linear matrix inequality (LMI) technique, the necessary and sufficient condition of observer-based control is proposed. Since the condition is a nonstrict LMI, including the equality constraint, it will lead to some trouble when solving problems using toolbox. Thus, the strict LMI-based condition is improved in the paper. Finally, a numerical example and a direct current motor example are given to illustrate the effectiveness of the strict LMI-based condition. © Zhejiang University Press 2022
abstract_unstemmed	Abstract In this paper, observer-based control for fractional-order singular systems with order α (0 < α < 1) and input delay is studied. On the basis of the Smith predictor and approximation error, the system with input delay is approximately equivalent to the system without input delay. Furthermore, based on the linear matrix inequality (LMI) technique, the necessary and sufficient condition of observer-based control is proposed. Since the condition is a nonstrict LMI, including the equality constraint, it will lead to some trouble when solving problems using toolbox. Thus, the strict LMI-based condition is improved in the paper. Finally, a numerical example and a direct current motor example are given to illustrate the effectiveness of the strict LMI-based condition. © Zhejiang University Press 2022
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title_short	Observer-based control for fractional-order singular systems with order α (0 < α < 1) and input delay
url	https://dx.doi.org/10.1631/FITEE.2200294
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Observer-based control for fractional-order singular systems with order α (0 < α < 1) and input delay

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