Observers design for switched discrete-time singular time-delay systems with unknown inputs
This paper addresses the state estimation problem for a class of switched discrete-time singular systems simultaneously subject to state delays, unknown inputs (UIs) and arbitrary switching sequences. A mode-dependent observer is constructed, and, in view of the observation performance and the reali...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Lin, Jinxing [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2015transfer abstract |
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| Schlagwörter: |
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| Umfang: |
15 |
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| Übergeordnetes Werk: |
Enthalten in: Effect of end of season water deficit on phenolic compounds in peanut genotypes with different levels of resistance to drought - Aninbon, C. ELSEVIER, 2016, Amsterdam [u.a.] |
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| Übergeordnetes Werk: |
volume:18 ; year:2015 ; pages:85-99 ; extent:15 |
| Links: |
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| DOI / URN: |
10.1016/j.nahs.2015.06.004 |
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| Katalog-ID: |
ELV034520236 |
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| 520 | |a This paper addresses the state estimation problem for a class of switched discrete-time singular systems simultaneously subject to state delays, unknown inputs (UIs) and arbitrary switching sequences. A mode-dependent observer is constructed, and, in view of the observation performance and the realizability, two class of design methods are proposed. The first class is based on the principle of exact decoupling, which allows the observer to perfectly reconstruct the system state regardless the presence of UIs under stringent rank conditions. The second one, with the aid of introducing L 2 -attenuation of UIs to the state estimation error, relaxes the rank constraints required in the first class method while permitting the observer to give an unknown input approximately decoupled state estimation. In both methods, by defining an appropriate switched Lyapunov function and using the linear matrix inequality technique, sufficient conditions for the existence of the observer are given, and the convergence rate of the state estimation error is proved to be exponential. Finally, two numerical examples are given to show the effectiveness of the developed theoretical results. | ||
| 520 | |a This paper addresses the state estimation problem for a class of switched discrete-time singular systems simultaneously subject to state delays, unknown inputs (UIs) and arbitrary switching sequences. A mode-dependent observer is constructed, and, in view of the observation performance and the realizability, two class of design methods are proposed. The first class is based on the principle of exact decoupling, which allows the observer to perfectly reconstruct the system state regardless the presence of UIs under stringent rank conditions. The second one, with the aid of introducing L 2 -attenuation of UIs to the state estimation error, relaxes the rank constraints required in the first class method while permitting the observer to give an unknown input approximately decoupled state estimation. In both methods, by defining an appropriate switched Lyapunov function and using the linear matrix inequality technique, sufficient conditions for the existence of the observer are given, and the convergence rate of the state estimation error is proved to be exponential. Finally, two numerical examples are given to show the effectiveness of the developed theoretical results. | ||
| 650 | 7 | |a Unknown input observers |2 Elsevier | |
| 650 | 7 | |a Switched Lyapunov function |2 Elsevier | |
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| 650 | 7 | |a Discrete-time switched singular systems |2 Elsevier | |
| 650 | 7 | |a Unknown input decoupling |2 Elsevier | |
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10.1016/j.nahs.2015.06.004 doi GBVA2015009000015.pica (DE-627)ELV034520236 (ELSEVIER)S1751-570X(15)00032-1 DE-627 ger DE-627 rakwb eng 510 510 DE-600 540 VZ 660 VZ 540 VZ 35.00 bkl Lin, Jinxing verfasserin aut Observers design for switched discrete-time singular time-delay systems with unknown inputs 2015transfer abstract 15 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier This paper addresses the state estimation problem for a class of switched discrete-time singular systems simultaneously subject to state delays, unknown inputs (UIs) and arbitrary switching sequences. A mode-dependent observer is constructed, and, in view of the observation performance and the realizability, two class of design methods are proposed. The first class is based on the principle of exact decoupling, which allows the observer to perfectly reconstruct the system state regardless the presence of UIs under stringent rank conditions. The second one, with the aid of introducing L 2 -attenuation of UIs to the state estimation error, relaxes the rank constraints required in the first class method while permitting the observer to give an unknown input approximately decoupled state estimation. In both methods, by defining an appropriate switched Lyapunov function and using the linear matrix inequality technique, sufficient conditions for the existence of the observer are given, and the convergence rate of the state estimation error is proved to be exponential. Finally, two numerical examples are given to show the effectiveness of the developed theoretical results. This paper addresses the state estimation problem for a class of switched discrete-time singular systems simultaneously subject to state delays, unknown inputs (UIs) and arbitrary switching sequences. A mode-dependent observer is constructed, and, in view of the observation performance and the realizability, two class of design methods are proposed. The first class is based on the principle of exact decoupling, which allows the observer to perfectly reconstruct the system state regardless the presence of UIs under stringent rank conditions. The second one, with the aid of introducing L 2 -attenuation of UIs to the state estimation error, relaxes the rank constraints required in the first class method while permitting the observer to give an unknown input approximately decoupled state estimation. In both methods, by defining an appropriate switched Lyapunov function and using the linear matrix inequality technique, sufficient conditions for the existence of the observer are given, and the convergence rate of the state estimation error is proved to be exponential. Finally, two numerical examples are given to show the effectiveness of the developed theoretical results. Unknown input observers Elsevier Switched Lyapunov function Elsevier State delays Elsevier Discrete-time switched singular systems Elsevier Unknown input decoupling Elsevier Gao, Zhifeng oth Enthalten in Elsevier Science Aninbon, C. ELSEVIER Effect of end of season water deficit on phenolic compounds in peanut genotypes with different levels of resistance to drought 2016 Amsterdam [u.a.] (DE-627)ELV014016753 volume:18 year:2015 pages:85-99 extent:15 https://doi.org/10.1016/j.nahs.2015.06.004 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA GBV_ILN_40 35.00 Chemie: Allgemeines VZ AR 18 2015 85-99 15 045F 510 |
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10.1016/j.nahs.2015.06.004 doi GBVA2015009000015.pica (DE-627)ELV034520236 (ELSEVIER)S1751-570X(15)00032-1 DE-627 ger DE-627 rakwb eng 510 510 DE-600 540 VZ 660 VZ 540 VZ 35.00 bkl Lin, Jinxing verfasserin aut Observers design for switched discrete-time singular time-delay systems with unknown inputs 2015transfer abstract 15 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier This paper addresses the state estimation problem for a class of switched discrete-time singular systems simultaneously subject to state delays, unknown inputs (UIs) and arbitrary switching sequences. A mode-dependent observer is constructed, and, in view of the observation performance and the realizability, two class of design methods are proposed. The first class is based on the principle of exact decoupling, which allows the observer to perfectly reconstruct the system state regardless the presence of UIs under stringent rank conditions. The second one, with the aid of introducing L 2 -attenuation of UIs to the state estimation error, relaxes the rank constraints required in the first class method while permitting the observer to give an unknown input approximately decoupled state estimation. In both methods, by defining an appropriate switched Lyapunov function and using the linear matrix inequality technique, sufficient conditions for the existence of the observer are given, and the convergence rate of the state estimation error is proved to be exponential. Finally, two numerical examples are given to show the effectiveness of the developed theoretical results. This paper addresses the state estimation problem for a class of switched discrete-time singular systems simultaneously subject to state delays, unknown inputs (UIs) and arbitrary switching sequences. A mode-dependent observer is constructed, and, in view of the observation performance and the realizability, two class of design methods are proposed. The first class is based on the principle of exact decoupling, which allows the observer to perfectly reconstruct the system state regardless the presence of UIs under stringent rank conditions. The second one, with the aid of introducing L 2 -attenuation of UIs to the state estimation error, relaxes the rank constraints required in the first class method while permitting the observer to give an unknown input approximately decoupled state estimation. In both methods, by defining an appropriate switched Lyapunov function and using the linear matrix inequality technique, sufficient conditions for the existence of the observer are given, and the convergence rate of the state estimation error is proved to be exponential. Finally, two numerical examples are given to show the effectiveness of the developed theoretical results. Unknown input observers Elsevier Switched Lyapunov function Elsevier State delays Elsevier Discrete-time switched singular systems Elsevier Unknown input decoupling Elsevier Gao, Zhifeng oth Enthalten in Elsevier Science Aninbon, C. ELSEVIER Effect of end of season water deficit on phenolic compounds in peanut genotypes with different levels of resistance to drought 2016 Amsterdam [u.a.] (DE-627)ELV014016753 volume:18 year:2015 pages:85-99 extent:15 https://doi.org/10.1016/j.nahs.2015.06.004 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA GBV_ILN_40 35.00 Chemie: Allgemeines VZ AR 18 2015 85-99 15 045F 510 |
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10.1016/j.nahs.2015.06.004 doi GBVA2015009000015.pica (DE-627)ELV034520236 (ELSEVIER)S1751-570X(15)00032-1 DE-627 ger DE-627 rakwb eng 510 510 DE-600 540 VZ 660 VZ 540 VZ 35.00 bkl Lin, Jinxing verfasserin aut Observers design for switched discrete-time singular time-delay systems with unknown inputs 2015transfer abstract 15 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier This paper addresses the state estimation problem for a class of switched discrete-time singular systems simultaneously subject to state delays, unknown inputs (UIs) and arbitrary switching sequences. A mode-dependent observer is constructed, and, in view of the observation performance and the realizability, two class of design methods are proposed. The first class is based on the principle of exact decoupling, which allows the observer to perfectly reconstruct the system state regardless the presence of UIs under stringent rank conditions. The second one, with the aid of introducing L 2 -attenuation of UIs to the state estimation error, relaxes the rank constraints required in the first class method while permitting the observer to give an unknown input approximately decoupled state estimation. In both methods, by defining an appropriate switched Lyapunov function and using the linear matrix inequality technique, sufficient conditions for the existence of the observer are given, and the convergence rate of the state estimation error is proved to be exponential. Finally, two numerical examples are given to show the effectiveness of the developed theoretical results. This paper addresses the state estimation problem for a class of switched discrete-time singular systems simultaneously subject to state delays, unknown inputs (UIs) and arbitrary switching sequences. A mode-dependent observer is constructed, and, in view of the observation performance and the realizability, two class of design methods are proposed. The first class is based on the principle of exact decoupling, which allows the observer to perfectly reconstruct the system state regardless the presence of UIs under stringent rank conditions. The second one, with the aid of introducing L 2 -attenuation of UIs to the state estimation error, relaxes the rank constraints required in the first class method while permitting the observer to give an unknown input approximately decoupled state estimation. In both methods, by defining an appropriate switched Lyapunov function and using the linear matrix inequality technique, sufficient conditions for the existence of the observer are given, and the convergence rate of the state estimation error is proved to be exponential. Finally, two numerical examples are given to show the effectiveness of the developed theoretical results. Unknown input observers Elsevier Switched Lyapunov function Elsevier State delays Elsevier Discrete-time switched singular systems Elsevier Unknown input decoupling Elsevier Gao, Zhifeng oth Enthalten in Elsevier Science Aninbon, C. ELSEVIER Effect of end of season water deficit on phenolic compounds in peanut genotypes with different levels of resistance to drought 2016 Amsterdam [u.a.] (DE-627)ELV014016753 volume:18 year:2015 pages:85-99 extent:15 https://doi.org/10.1016/j.nahs.2015.06.004 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA GBV_ILN_40 35.00 Chemie: Allgemeines VZ AR 18 2015 85-99 15 045F 510 |
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10.1016/j.nahs.2015.06.004 doi GBVA2015009000015.pica (DE-627)ELV034520236 (ELSEVIER)S1751-570X(15)00032-1 DE-627 ger DE-627 rakwb eng 510 510 DE-600 540 VZ 660 VZ 540 VZ 35.00 bkl Lin, Jinxing verfasserin aut Observers design for switched discrete-time singular time-delay systems with unknown inputs 2015transfer abstract 15 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier This paper addresses the state estimation problem for a class of switched discrete-time singular systems simultaneously subject to state delays, unknown inputs (UIs) and arbitrary switching sequences. A mode-dependent observer is constructed, and, in view of the observation performance and the realizability, two class of design methods are proposed. The first class is based on the principle of exact decoupling, which allows the observer to perfectly reconstruct the system state regardless the presence of UIs under stringent rank conditions. The second one, with the aid of introducing L 2 -attenuation of UIs to the state estimation error, relaxes the rank constraints required in the first class method while permitting the observer to give an unknown input approximately decoupled state estimation. In both methods, by defining an appropriate switched Lyapunov function and using the linear matrix inequality technique, sufficient conditions for the existence of the observer are given, and the convergence rate of the state estimation error is proved to be exponential. Finally, two numerical examples are given to show the effectiveness of the developed theoretical results. This paper addresses the state estimation problem for a class of switched discrete-time singular systems simultaneously subject to state delays, unknown inputs (UIs) and arbitrary switching sequences. A mode-dependent observer is constructed, and, in view of the observation performance and the realizability, two class of design methods are proposed. The first class is based on the principle of exact decoupling, which allows the observer to perfectly reconstruct the system state regardless the presence of UIs under stringent rank conditions. The second one, with the aid of introducing L 2 -attenuation of UIs to the state estimation error, relaxes the rank constraints required in the first class method while permitting the observer to give an unknown input approximately decoupled state estimation. In both methods, by defining an appropriate switched Lyapunov function and using the linear matrix inequality technique, sufficient conditions for the existence of the observer are given, and the convergence rate of the state estimation error is proved to be exponential. Finally, two numerical examples are given to show the effectiveness of the developed theoretical results. Unknown input observers Elsevier Switched Lyapunov function Elsevier State delays Elsevier Discrete-time switched singular systems Elsevier Unknown input decoupling Elsevier Gao, Zhifeng oth Enthalten in Elsevier Science Aninbon, C. ELSEVIER Effect of end of season water deficit on phenolic compounds in peanut genotypes with different levels of resistance to drought 2016 Amsterdam [u.a.] (DE-627)ELV014016753 volume:18 year:2015 pages:85-99 extent:15 https://doi.org/10.1016/j.nahs.2015.06.004 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA GBV_ILN_40 35.00 Chemie: Allgemeines VZ AR 18 2015 85-99 15 045F 510 |
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10.1016/j.nahs.2015.06.004 doi GBVA2015009000015.pica (DE-627)ELV034520236 (ELSEVIER)S1751-570X(15)00032-1 DE-627 ger DE-627 rakwb eng 510 510 DE-600 540 VZ 660 VZ 540 VZ 35.00 bkl Lin, Jinxing verfasserin aut Observers design for switched discrete-time singular time-delay systems with unknown inputs 2015transfer abstract 15 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier This paper addresses the state estimation problem for a class of switched discrete-time singular systems simultaneously subject to state delays, unknown inputs (UIs) and arbitrary switching sequences. A mode-dependent observer is constructed, and, in view of the observation performance and the realizability, two class of design methods are proposed. The first class is based on the principle of exact decoupling, which allows the observer to perfectly reconstruct the system state regardless the presence of UIs under stringent rank conditions. The second one, with the aid of introducing L 2 -attenuation of UIs to the state estimation error, relaxes the rank constraints required in the first class method while permitting the observer to give an unknown input approximately decoupled state estimation. In both methods, by defining an appropriate switched Lyapunov function and using the linear matrix inequality technique, sufficient conditions for the existence of the observer are given, and the convergence rate of the state estimation error is proved to be exponential. Finally, two numerical examples are given to show the effectiveness of the developed theoretical results. This paper addresses the state estimation problem for a class of switched discrete-time singular systems simultaneously subject to state delays, unknown inputs (UIs) and arbitrary switching sequences. A mode-dependent observer is constructed, and, in view of the observation performance and the realizability, two class of design methods are proposed. The first class is based on the principle of exact decoupling, which allows the observer to perfectly reconstruct the system state regardless the presence of UIs under stringent rank conditions. The second one, with the aid of introducing L 2 -attenuation of UIs to the state estimation error, relaxes the rank constraints required in the first class method while permitting the observer to give an unknown input approximately decoupled state estimation. In both methods, by defining an appropriate switched Lyapunov function and using the linear matrix inequality technique, sufficient conditions for the existence of the observer are given, and the convergence rate of the state estimation error is proved to be exponential. Finally, two numerical examples are given to show the effectiveness of the developed theoretical results. Unknown input observers Elsevier Switched Lyapunov function Elsevier State delays Elsevier Discrete-time switched singular systems Elsevier Unknown input decoupling Elsevier Gao, Zhifeng oth Enthalten in Elsevier Science Aninbon, C. ELSEVIER Effect of end of season water deficit on phenolic compounds in peanut genotypes with different levels of resistance to drought 2016 Amsterdam [u.a.] (DE-627)ELV014016753 volume:18 year:2015 pages:85-99 extent:15 https://doi.org/10.1016/j.nahs.2015.06.004 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA GBV_ILN_40 35.00 Chemie: Allgemeines VZ AR 18 2015 85-99 15 045F 510 |
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English |
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Enthalten in Effect of end of season water deficit on phenolic compounds in peanut genotypes with different levels of resistance to drought Amsterdam [u.a.] volume:18 year:2015 pages:85-99 extent:15 |
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Enthalten in Effect of end of season water deficit on phenolic compounds in peanut genotypes with different levels of resistance to drought Amsterdam [u.a.] volume:18 year:2015 pages:85-99 extent:15 |
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Unknown input observers Switched Lyapunov function State delays Discrete-time switched singular systems Unknown input decoupling |
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Effect of end of season water deficit on phenolic compounds in peanut genotypes with different levels of resistance to drought |
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Lin, Jinxing @@aut@@ Gao, Zhifeng @@oth@@ |
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Effect of end of season water deficit on phenolic compounds in peanut genotypes with different levels of resistance to drought |
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Effect of end of season water deficit on phenolic compounds in peanut genotypes with different levels of resistance to drought |
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Effect of end of season water deficit on phenolic compounds in peanut genotypes with different levels of resistance to drought |
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observers design for switched discrete-time singular time-delay systems with unknown inputs |
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Observers design for switched discrete-time singular time-delay systems with unknown inputs |
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This paper addresses the state estimation problem for a class of switched discrete-time singular systems simultaneously subject to state delays, unknown inputs (UIs) and arbitrary switching sequences. A mode-dependent observer is constructed, and, in view of the observation performance and the realizability, two class of design methods are proposed. The first class is based on the principle of exact decoupling, which allows the observer to perfectly reconstruct the system state regardless the presence of UIs under stringent rank conditions. The second one, with the aid of introducing L 2 -attenuation of UIs to the state estimation error, relaxes the rank constraints required in the first class method while permitting the observer to give an unknown input approximately decoupled state estimation. In both methods, by defining an appropriate switched Lyapunov function and using the linear matrix inequality technique, sufficient conditions for the existence of the observer are given, and the convergence rate of the state estimation error is proved to be exponential. Finally, two numerical examples are given to show the effectiveness of the developed theoretical results. |
| abstractGer |
This paper addresses the state estimation problem for a class of switched discrete-time singular systems simultaneously subject to state delays, unknown inputs (UIs) and arbitrary switching sequences. A mode-dependent observer is constructed, and, in view of the observation performance and the realizability, two class of design methods are proposed. The first class is based on the principle of exact decoupling, which allows the observer to perfectly reconstruct the system state regardless the presence of UIs under stringent rank conditions. The second one, with the aid of introducing L 2 -attenuation of UIs to the state estimation error, relaxes the rank constraints required in the first class method while permitting the observer to give an unknown input approximately decoupled state estimation. In both methods, by defining an appropriate switched Lyapunov function and using the linear matrix inequality technique, sufficient conditions for the existence of the observer are given, and the convergence rate of the state estimation error is proved to be exponential. Finally, two numerical examples are given to show the effectiveness of the developed theoretical results. |
| abstract_unstemmed |
This paper addresses the state estimation problem for a class of switched discrete-time singular systems simultaneously subject to state delays, unknown inputs (UIs) and arbitrary switching sequences. A mode-dependent observer is constructed, and, in view of the observation performance and the realizability, two class of design methods are proposed. The first class is based on the principle of exact decoupling, which allows the observer to perfectly reconstruct the system state regardless the presence of UIs under stringent rank conditions. The second one, with the aid of introducing L 2 -attenuation of UIs to the state estimation error, relaxes the rank constraints required in the first class method while permitting the observer to give an unknown input approximately decoupled state estimation. In both methods, by defining an appropriate switched Lyapunov function and using the linear matrix inequality technique, sufficient conditions for the existence of the observer are given, and the convergence rate of the state estimation error is proved to be exponential. Finally, two numerical examples are given to show the effectiveness of the developed theoretical results. |
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Observers design for switched discrete-time singular time-delay systems with unknown inputs |
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