Finite-time stabilization of linear systems by bounded linear time-varying feedback
Time-varying features are generally considered to be detrimental to the analysis and design of control systems. This paper establishes methods to design bounded linear time-varying (LTV) controllers such that the control performance of a linear time-invariant (LTI) system can be improved, that is, t...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Zhou, Bin [verfasserIn] |
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| Format: |
E-Artikel |
|---|---|
| Sprache: |
Englisch |
| Erschienen: |
2020transfer abstract |
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| Schlagwörter: |
Finite-time semi-global stabilization |
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| Übergeordnetes Werk: |
Enthalten in: Epithelial morphogenesis in organoids - Lee, Byung Ho ELSEVIER, 2021, a journal of IFAC, the International Federation of Automatic Control, Amsterdam [u.a.] |
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| Übergeordnetes Werk: |
volume:113 ; year:2020 ; pages:0 |
| Links: |
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| DOI / URN: |
10.1016/j.automatica.2019.108760 |
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| Katalog-ID: |
ELV049190695 |
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| 520 | |a Time-varying features are generally considered to be detrimental to the analysis and design of control systems. This paper establishes methods to design bounded linear time-varying (LTV) controllers such that the control performance of a linear time-invariant (LTI) system can be improved, that is, the finite-time stability of the closed-loop system can be obtained. Specifically, for an LTI control system, by using the solution to a parametric Lyapunov equation (PLE), a bounded LTV controller containing a suitable time-varying parameter is designed. By fully exploiting properties of the solution to the PLE, it is shown that the closed-loop system is finite-time stable. Both state feedback and observer based output feedback, in which both the observer gain and the state feedback gain are time-varying, are considered. As a consequence, the finite-time semi-global stabilization and the fixed-time (prescribed finite-time) stabilization problems for linear systems by bounded controls are solved. The established method is utilized to the design of the spacecraft rendezvous control system and its effectiveness is verified by simulations. | ||
| 520 | |a Time-varying features are generally considered to be detrimental to the analysis and design of control systems. This paper establishes methods to design bounded linear time-varying (LTV) controllers such that the control performance of a linear time-invariant (LTI) system can be improved, that is, the finite-time stability of the closed-loop system can be obtained. Specifically, for an LTI control system, by using the solution to a parametric Lyapunov equation (PLE), a bounded LTV controller containing a suitable time-varying parameter is designed. By fully exploiting properties of the solution to the PLE, it is shown that the closed-loop system is finite-time stable. Both state feedback and observer based output feedback, in which both the observer gain and the state feedback gain are time-varying, are considered. As a consequence, the finite-time semi-global stabilization and the fixed-time (prescribed finite-time) stabilization problems for linear systems by bounded controls are solved. The established method is utilized to the design of the spacecraft rendezvous control system and its effectiveness is verified by simulations. | ||
| 650 | 7 | |a Linear time-varying feedback |2 Elsevier | |
| 650 | 7 | |a Finite-time semi-global stabilization |2 Elsevier | |
| 650 | 7 | |a Fixed-time stabilization |2 Elsevier | |
| 650 | 7 | |a Time-varying high-gain feedback |2 Elsevier | |
| 650 | 7 | |a Actuator saturation |2 Elsevier | |
| 650 | 7 | |a Finite-time stabilization |2 Elsevier | |
| 650 | 7 | |a Prescribed finite-time stabilization |2 Elsevier | |
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10.1016/j.automatica.2019.108760 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000000890.pica (DE-627)ELV049190695 (ELSEVIER)S0005-1098(19)30623-5 DE-627 ger DE-627 rakwb eng 610 VZ 44.48 bkl Zhou, Bin verfasserin aut Finite-time stabilization of linear systems by bounded linear time-varying feedback 2020transfer abstract nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Time-varying features are generally considered to be detrimental to the analysis and design of control systems. This paper establishes methods to design bounded linear time-varying (LTV) controllers such that the control performance of a linear time-invariant (LTI) system can be improved, that is, the finite-time stability of the closed-loop system can be obtained. Specifically, for an LTI control system, by using the solution to a parametric Lyapunov equation (PLE), a bounded LTV controller containing a suitable time-varying parameter is designed. By fully exploiting properties of the solution to the PLE, it is shown that the closed-loop system is finite-time stable. Both state feedback and observer based output feedback, in which both the observer gain and the state feedback gain are time-varying, are considered. As a consequence, the finite-time semi-global stabilization and the fixed-time (prescribed finite-time) stabilization problems for linear systems by bounded controls are solved. The established method is utilized to the design of the spacecraft rendezvous control system and its effectiveness is verified by simulations. Time-varying features are generally considered to be detrimental to the analysis and design of control systems. This paper establishes methods to design bounded linear time-varying (LTV) controllers such that the control performance of a linear time-invariant (LTI) system can be improved, that is, the finite-time stability of the closed-loop system can be obtained. Specifically, for an LTI control system, by using the solution to a parametric Lyapunov equation (PLE), a bounded LTV controller containing a suitable time-varying parameter is designed. By fully exploiting properties of the solution to the PLE, it is shown that the closed-loop system is finite-time stable. Both state feedback and observer based output feedback, in which both the observer gain and the state feedback gain are time-varying, are considered. As a consequence, the finite-time semi-global stabilization and the fixed-time (prescribed finite-time) stabilization problems for linear systems by bounded controls are solved. The established method is utilized to the design of the spacecraft rendezvous control system and its effectiveness is verified by simulations. Linear time-varying feedback Elsevier Finite-time semi-global stabilization Elsevier Fixed-time stabilization Elsevier Time-varying high-gain feedback Elsevier Actuator saturation Elsevier Finite-time stabilization Elsevier Prescribed finite-time stabilization Elsevier Enthalten in Elsevier, Pergamon Press Lee, Byung Ho ELSEVIER Epithelial morphogenesis in organoids 2021 a journal of IFAC, the International Federation of Automatic Control Amsterdam [u.a.] (DE-627)ELV007443196 volume:113 year:2020 pages:0 https://doi.org/10.1016/j.automatica.2019.108760 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA 44.48 Medizinische Genetik VZ AR 113 2020 0 |
| spelling |
10.1016/j.automatica.2019.108760 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000000890.pica (DE-627)ELV049190695 (ELSEVIER)S0005-1098(19)30623-5 DE-627 ger DE-627 rakwb eng 610 VZ 44.48 bkl Zhou, Bin verfasserin aut Finite-time stabilization of linear systems by bounded linear time-varying feedback 2020transfer abstract nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Time-varying features are generally considered to be detrimental to the analysis and design of control systems. This paper establishes methods to design bounded linear time-varying (LTV) controllers such that the control performance of a linear time-invariant (LTI) system can be improved, that is, the finite-time stability of the closed-loop system can be obtained. Specifically, for an LTI control system, by using the solution to a parametric Lyapunov equation (PLE), a bounded LTV controller containing a suitable time-varying parameter is designed. By fully exploiting properties of the solution to the PLE, it is shown that the closed-loop system is finite-time stable. Both state feedback and observer based output feedback, in which both the observer gain and the state feedback gain are time-varying, are considered. As a consequence, the finite-time semi-global stabilization and the fixed-time (prescribed finite-time) stabilization problems for linear systems by bounded controls are solved. The established method is utilized to the design of the spacecraft rendezvous control system and its effectiveness is verified by simulations. Time-varying features are generally considered to be detrimental to the analysis and design of control systems. This paper establishes methods to design bounded linear time-varying (LTV) controllers such that the control performance of a linear time-invariant (LTI) system can be improved, that is, the finite-time stability of the closed-loop system can be obtained. Specifically, for an LTI control system, by using the solution to a parametric Lyapunov equation (PLE), a bounded LTV controller containing a suitable time-varying parameter is designed. By fully exploiting properties of the solution to the PLE, it is shown that the closed-loop system is finite-time stable. Both state feedback and observer based output feedback, in which both the observer gain and the state feedback gain are time-varying, are considered. As a consequence, the finite-time semi-global stabilization and the fixed-time (prescribed finite-time) stabilization problems for linear systems by bounded controls are solved. The established method is utilized to the design of the spacecraft rendezvous control system and its effectiveness is verified by simulations. Linear time-varying feedback Elsevier Finite-time semi-global stabilization Elsevier Fixed-time stabilization Elsevier Time-varying high-gain feedback Elsevier Actuator saturation Elsevier Finite-time stabilization Elsevier Prescribed finite-time stabilization Elsevier Enthalten in Elsevier, Pergamon Press Lee, Byung Ho ELSEVIER Epithelial morphogenesis in organoids 2021 a journal of IFAC, the International Federation of Automatic Control Amsterdam [u.a.] (DE-627)ELV007443196 volume:113 year:2020 pages:0 https://doi.org/10.1016/j.automatica.2019.108760 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA 44.48 Medizinische Genetik VZ AR 113 2020 0 |
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10.1016/j.automatica.2019.108760 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000000890.pica (DE-627)ELV049190695 (ELSEVIER)S0005-1098(19)30623-5 DE-627 ger DE-627 rakwb eng 610 VZ 44.48 bkl Zhou, Bin verfasserin aut Finite-time stabilization of linear systems by bounded linear time-varying feedback 2020transfer abstract nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Time-varying features are generally considered to be detrimental to the analysis and design of control systems. This paper establishes methods to design bounded linear time-varying (LTV) controllers such that the control performance of a linear time-invariant (LTI) system can be improved, that is, the finite-time stability of the closed-loop system can be obtained. Specifically, for an LTI control system, by using the solution to a parametric Lyapunov equation (PLE), a bounded LTV controller containing a suitable time-varying parameter is designed. By fully exploiting properties of the solution to the PLE, it is shown that the closed-loop system is finite-time stable. Both state feedback and observer based output feedback, in which both the observer gain and the state feedback gain are time-varying, are considered. As a consequence, the finite-time semi-global stabilization and the fixed-time (prescribed finite-time) stabilization problems for linear systems by bounded controls are solved. The established method is utilized to the design of the spacecraft rendezvous control system and its effectiveness is verified by simulations. Time-varying features are generally considered to be detrimental to the analysis and design of control systems. This paper establishes methods to design bounded linear time-varying (LTV) controllers such that the control performance of a linear time-invariant (LTI) system can be improved, that is, the finite-time stability of the closed-loop system can be obtained. Specifically, for an LTI control system, by using the solution to a parametric Lyapunov equation (PLE), a bounded LTV controller containing a suitable time-varying parameter is designed. By fully exploiting properties of the solution to the PLE, it is shown that the closed-loop system is finite-time stable. Both state feedback and observer based output feedback, in which both the observer gain and the state feedback gain are time-varying, are considered. As a consequence, the finite-time semi-global stabilization and the fixed-time (prescribed finite-time) stabilization problems for linear systems by bounded controls are solved. The established method is utilized to the design of the spacecraft rendezvous control system and its effectiveness is verified by simulations. Linear time-varying feedback Elsevier Finite-time semi-global stabilization Elsevier Fixed-time stabilization Elsevier Time-varying high-gain feedback Elsevier Actuator saturation Elsevier Finite-time stabilization Elsevier Prescribed finite-time stabilization Elsevier Enthalten in Elsevier, Pergamon Press Lee, Byung Ho ELSEVIER Epithelial morphogenesis in organoids 2021 a journal of IFAC, the International Federation of Automatic Control Amsterdam [u.a.] (DE-627)ELV007443196 volume:113 year:2020 pages:0 https://doi.org/10.1016/j.automatica.2019.108760 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA 44.48 Medizinische Genetik VZ AR 113 2020 0 |
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10.1016/j.automatica.2019.108760 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000000890.pica (DE-627)ELV049190695 (ELSEVIER)S0005-1098(19)30623-5 DE-627 ger DE-627 rakwb eng 610 VZ 44.48 bkl Zhou, Bin verfasserin aut Finite-time stabilization of linear systems by bounded linear time-varying feedback 2020transfer abstract nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Time-varying features are generally considered to be detrimental to the analysis and design of control systems. This paper establishes methods to design bounded linear time-varying (LTV) controllers such that the control performance of a linear time-invariant (LTI) system can be improved, that is, the finite-time stability of the closed-loop system can be obtained. Specifically, for an LTI control system, by using the solution to a parametric Lyapunov equation (PLE), a bounded LTV controller containing a suitable time-varying parameter is designed. By fully exploiting properties of the solution to the PLE, it is shown that the closed-loop system is finite-time stable. Both state feedback and observer based output feedback, in which both the observer gain and the state feedback gain are time-varying, are considered. As a consequence, the finite-time semi-global stabilization and the fixed-time (prescribed finite-time) stabilization problems for linear systems by bounded controls are solved. The established method is utilized to the design of the spacecraft rendezvous control system and its effectiveness is verified by simulations. Time-varying features are generally considered to be detrimental to the analysis and design of control systems. This paper establishes methods to design bounded linear time-varying (LTV) controllers such that the control performance of a linear time-invariant (LTI) system can be improved, that is, the finite-time stability of the closed-loop system can be obtained. Specifically, for an LTI control system, by using the solution to a parametric Lyapunov equation (PLE), a bounded LTV controller containing a suitable time-varying parameter is designed. By fully exploiting properties of the solution to the PLE, it is shown that the closed-loop system is finite-time stable. Both state feedback and observer based output feedback, in which both the observer gain and the state feedback gain are time-varying, are considered. As a consequence, the finite-time semi-global stabilization and the fixed-time (prescribed finite-time) stabilization problems for linear systems by bounded controls are solved. The established method is utilized to the design of the spacecraft rendezvous control system and its effectiveness is verified by simulations. Linear time-varying feedback Elsevier Finite-time semi-global stabilization Elsevier Fixed-time stabilization Elsevier Time-varying high-gain feedback Elsevier Actuator saturation Elsevier Finite-time stabilization Elsevier Prescribed finite-time stabilization Elsevier Enthalten in Elsevier, Pergamon Press Lee, Byung Ho ELSEVIER Epithelial morphogenesis in organoids 2021 a journal of IFAC, the International Federation of Automatic Control Amsterdam [u.a.] (DE-627)ELV007443196 volume:113 year:2020 pages:0 https://doi.org/10.1016/j.automatica.2019.108760 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA 44.48 Medizinische Genetik VZ AR 113 2020 0 |
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10.1016/j.automatica.2019.108760 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000000890.pica (DE-627)ELV049190695 (ELSEVIER)S0005-1098(19)30623-5 DE-627 ger DE-627 rakwb eng 610 VZ 44.48 bkl Zhou, Bin verfasserin aut Finite-time stabilization of linear systems by bounded linear time-varying feedback 2020transfer abstract nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Time-varying features are generally considered to be detrimental to the analysis and design of control systems. This paper establishes methods to design bounded linear time-varying (LTV) controllers such that the control performance of a linear time-invariant (LTI) system can be improved, that is, the finite-time stability of the closed-loop system can be obtained. Specifically, for an LTI control system, by using the solution to a parametric Lyapunov equation (PLE), a bounded LTV controller containing a suitable time-varying parameter is designed. By fully exploiting properties of the solution to the PLE, it is shown that the closed-loop system is finite-time stable. Both state feedback and observer based output feedback, in which both the observer gain and the state feedback gain are time-varying, are considered. As a consequence, the finite-time semi-global stabilization and the fixed-time (prescribed finite-time) stabilization problems for linear systems by bounded controls are solved. The established method is utilized to the design of the spacecraft rendezvous control system and its effectiveness is verified by simulations. Time-varying features are generally considered to be detrimental to the analysis and design of control systems. This paper establishes methods to design bounded linear time-varying (LTV) controllers such that the control performance of a linear time-invariant (LTI) system can be improved, that is, the finite-time stability of the closed-loop system can be obtained. Specifically, for an LTI control system, by using the solution to a parametric Lyapunov equation (PLE), a bounded LTV controller containing a suitable time-varying parameter is designed. By fully exploiting properties of the solution to the PLE, it is shown that the closed-loop system is finite-time stable. Both state feedback and observer based output feedback, in which both the observer gain and the state feedback gain are time-varying, are considered. As a consequence, the finite-time semi-global stabilization and the fixed-time (prescribed finite-time) stabilization problems for linear systems by bounded controls are solved. The established method is utilized to the design of the spacecraft rendezvous control system and its effectiveness is verified by simulations. Linear time-varying feedback Elsevier Finite-time semi-global stabilization Elsevier Fixed-time stabilization Elsevier Time-varying high-gain feedback Elsevier Actuator saturation Elsevier Finite-time stabilization Elsevier Prescribed finite-time stabilization Elsevier Enthalten in Elsevier, Pergamon Press Lee, Byung Ho ELSEVIER Epithelial morphogenesis in organoids 2021 a journal of IFAC, the International Federation of Automatic Control Amsterdam [u.a.] (DE-627)ELV007443196 volume:113 year:2020 pages:0 https://doi.org/10.1016/j.automatica.2019.108760 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA 44.48 Medizinische Genetik VZ AR 113 2020 0 |
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Enthalten in Epithelial morphogenesis in organoids Amsterdam [u.a.] volume:113 year:2020 pages:0 |
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This paper establishes methods to design bounded linear time-varying (LTV) controllers such that the control performance of a linear time-invariant (LTI) system can be improved, that is, the finite-time stability of the closed-loop system can be obtained. Specifically, for an LTI control system, by using the solution to a parametric Lyapunov equation (PLE), a bounded LTV controller containing a suitable time-varying parameter is designed. By fully exploiting properties of the solution to the PLE, it is shown that the closed-loop system is finite-time stable. Both state feedback and observer based output feedback, in which both the observer gain and the state feedback gain are time-varying, are considered. As a consequence, the finite-time semi-global stabilization and the fixed-time (prescribed finite-time) stabilization problems for linear systems by bounded controls are solved. The established method is utilized to the design of the spacecraft rendezvous control system and its effectiveness is verified by simulations.</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Time-varying features are generally considered to be detrimental to the analysis and design of control systems. This paper establishes methods to design bounded linear time-varying (LTV) controllers such that the control performance of a linear time-invariant (LTI) system can be improved, that is, the finite-time stability of the closed-loop system can be obtained. Specifically, for an LTI control system, by using the solution to a parametric Lyapunov equation (PLE), a bounded LTV controller containing a suitable time-varying parameter is designed. By fully exploiting properties of the solution to the PLE, it is shown that the closed-loop system is finite-time stable. 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Finite-time stabilization of linear systems by bounded linear time-varying feedback |
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Time-varying features are generally considered to be detrimental to the analysis and design of control systems. This paper establishes methods to design bounded linear time-varying (LTV) controllers such that the control performance of a linear time-invariant (LTI) system can be improved, that is, the finite-time stability of the closed-loop system can be obtained. Specifically, for an LTI control system, by using the solution to a parametric Lyapunov equation (PLE), a bounded LTV controller containing a suitable time-varying parameter is designed. By fully exploiting properties of the solution to the PLE, it is shown that the closed-loop system is finite-time stable. Both state feedback and observer based output feedback, in which both the observer gain and the state feedback gain are time-varying, are considered. As a consequence, the finite-time semi-global stabilization and the fixed-time (prescribed finite-time) stabilization problems for linear systems by bounded controls are solved. The established method is utilized to the design of the spacecraft rendezvous control system and its effectiveness is verified by simulations. |
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Time-varying features are generally considered to be detrimental to the analysis and design of control systems. This paper establishes methods to design bounded linear time-varying (LTV) controllers such that the control performance of a linear time-invariant (LTI) system can be improved, that is, the finite-time stability of the closed-loop system can be obtained. Specifically, for an LTI control system, by using the solution to a parametric Lyapunov equation (PLE), a bounded LTV controller containing a suitable time-varying parameter is designed. By fully exploiting properties of the solution to the PLE, it is shown that the closed-loop system is finite-time stable. Both state feedback and observer based output feedback, in which both the observer gain and the state feedback gain are time-varying, are considered. As a consequence, the finite-time semi-global stabilization and the fixed-time (prescribed finite-time) stabilization problems for linear systems by bounded controls are solved. The established method is utilized to the design of the spacecraft rendezvous control system and its effectiveness is verified by simulations. |
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Time-varying features are generally considered to be detrimental to the analysis and design of control systems. This paper establishes methods to design bounded linear time-varying (LTV) controllers such that the control performance of a linear time-invariant (LTI) system can be improved, that is, the finite-time stability of the closed-loop system can be obtained. Specifically, for an LTI control system, by using the solution to a parametric Lyapunov equation (PLE), a bounded LTV controller containing a suitable time-varying parameter is designed. By fully exploiting properties of the solution to the PLE, it is shown that the closed-loop system is finite-time stable. Both state feedback and observer based output feedback, in which both the observer gain and the state feedback gain are time-varying, are considered. As a consequence, the finite-time semi-global stabilization and the fixed-time (prescribed finite-time) stabilization problems for linear systems by bounded controls are solved. The established method is utilized to the design of the spacecraft rendezvous control system and its effectiveness is verified by simulations. |
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