Stabilization of infinite dimensional port-Hamiltonian systems by nonlinear dynamic boundary control
The conditions for existence of solutions and stability, asymptotic and exponential, of a large class of boundary controlled systems on a 1D spatial domain subject to nonlinear dynamic boundary actuation are given. The consideration of such class of control systems is motivated by the use of actuato...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Ramirez, Hector [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2017transfer abstract |
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| Schlagwörter: |
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| Umfang: |
9 |
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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:85 ; year:2017 ; pages:61-69 ; extent:9 |
| Links: |
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| DOI / URN: |
10.1016/j.automatica.2017.07.045 |
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ELV03076498X |
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| 520 | |a The conditions for existence of solutions and stability, asymptotic and exponential, of a large class of boundary controlled systems on a 1D spatial domain subject to nonlinear dynamic boundary actuation are given. The consideration of such class of control systems is motivated by the use of actuators and sensors with nonlinear behavior in many engineering applications. These nonlinearities are usually associated to large deformations or the use of smart materials such as piezo actuators and memory shape alloys. Including them in the controller model results in passive dynamic controllers with nonlinear potential energy function and/or nonlinear damping forces. First it is shown that under very natural assumptions the solutions of the partial differential equation with the nonlinear dynamic boundary conditions exist globally. Secondly, when energy dissipation is present in the controller, then it globally asymptotically stabilizes the partial differential equation. Finally, it is shown that assuming some additional conditions on the interconnection and on the passivity properties of the controller (consistent with physical applications) global exponential stability of the closed-loop system is achieved. | ||
| 520 | |a The conditions for existence of solutions and stability, asymptotic and exponential, of a large class of boundary controlled systems on a 1D spatial domain subject to nonlinear dynamic boundary actuation are given. The consideration of such class of control systems is motivated by the use of actuators and sensors with nonlinear behavior in many engineering applications. These nonlinearities are usually associated to large deformations or the use of smart materials such as piezo actuators and memory shape alloys. Including them in the controller model results in passive dynamic controllers with nonlinear potential energy function and/or nonlinear damping forces. First it is shown that under very natural assumptions the solutions of the partial differential equation with the nonlinear dynamic boundary conditions exist globally. Secondly, when energy dissipation is present in the controller, then it globally asymptotically stabilizes the partial differential equation. Finally, it is shown that assuming some additional conditions on the interconnection and on the passivity properties of the controller (consistent with physical applications) global exponential stability of the closed-loop system is achieved. | ||
| 650 | 7 | |a Boundary control systems |2 Elsevier | |
| 650 | 7 | |a Stabilization |2 Elsevier | |
| 650 | 7 | |a Port-Hamiltonian systems |2 Elsevier | |
| 650 | 7 | |a Nonlinear control |2 Elsevier | |
| 650 | 7 | |a Existence of solutions |2 Elsevier | |
| 700 | 1 | |a Zwart, Hans |4 oth | |
| 700 | 1 | |a Le Gorrec, Yann |4 oth | |
| 773 | 0 | 8 | |i Enthalten in |n Elsevier, Pergamon Press |a Lee, Byung Ho ELSEVIER |t Epithelial morphogenesis in organoids |d 2021 |d a journal of IFAC, the International Federation of Automatic Control |g Amsterdam [u.a.] |w (DE-627)ELV007443196 |
| 773 | 1 | 8 | |g volume:85 |g year:2017 |g pages:61-69 |g extent:9 |
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10.1016/j.automatica.2017.07.045 doi GBV00000000000262A.pica (DE-627)ELV03076498X (ELSEVIER)S0005-1098(17)30390-4 DE-627 ger DE-627 rakwb eng 000 620 000 DE-600 620 DE-600 610 VZ 44.48 bkl Ramirez, Hector verfasserin aut Stabilization of infinite dimensional port-Hamiltonian systems by nonlinear dynamic boundary control 2017transfer abstract 9 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier The conditions for existence of solutions and stability, asymptotic and exponential, of a large class of boundary controlled systems on a 1D spatial domain subject to nonlinear dynamic boundary actuation are given. The consideration of such class of control systems is motivated by the use of actuators and sensors with nonlinear behavior in many engineering applications. These nonlinearities are usually associated to large deformations or the use of smart materials such as piezo actuators and memory shape alloys. Including them in the controller model results in passive dynamic controllers with nonlinear potential energy function and/or nonlinear damping forces. First it is shown that under very natural assumptions the solutions of the partial differential equation with the nonlinear dynamic boundary conditions exist globally. Secondly, when energy dissipation is present in the controller, then it globally asymptotically stabilizes the partial differential equation. Finally, it is shown that assuming some additional conditions on the interconnection and on the passivity properties of the controller (consistent with physical applications) global exponential stability of the closed-loop system is achieved. The conditions for existence of solutions and stability, asymptotic and exponential, of a large class of boundary controlled systems on a 1D spatial domain subject to nonlinear dynamic boundary actuation are given. The consideration of such class of control systems is motivated by the use of actuators and sensors with nonlinear behavior in many engineering applications. These nonlinearities are usually associated to large deformations or the use of smart materials such as piezo actuators and memory shape alloys. Including them in the controller model results in passive dynamic controllers with nonlinear potential energy function and/or nonlinear damping forces. First it is shown that under very natural assumptions the solutions of the partial differential equation with the nonlinear dynamic boundary conditions exist globally. Secondly, when energy dissipation is present in the controller, then it globally asymptotically stabilizes the partial differential equation. Finally, it is shown that assuming some additional conditions on the interconnection and on the passivity properties of the controller (consistent with physical applications) global exponential stability of the closed-loop system is achieved. Boundary control systems Elsevier Stabilization Elsevier Port-Hamiltonian systems Elsevier Nonlinear control Elsevier Existence of solutions Elsevier Zwart, Hans oth Le Gorrec, Yann oth 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:85 year:2017 pages:61-69 extent:9 https://doi.org/10.1016/j.automatica.2017.07.045 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA 44.48 Medizinische Genetik VZ AR 85 2017 61-69 9 045F 000 |
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10.1016/j.automatica.2017.07.045 doi GBV00000000000262A.pica (DE-627)ELV03076498X (ELSEVIER)S0005-1098(17)30390-4 DE-627 ger DE-627 rakwb eng 000 620 000 DE-600 620 DE-600 610 VZ 44.48 bkl Ramirez, Hector verfasserin aut Stabilization of infinite dimensional port-Hamiltonian systems by nonlinear dynamic boundary control 2017transfer abstract 9 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier The conditions for existence of solutions and stability, asymptotic and exponential, of a large class of boundary controlled systems on a 1D spatial domain subject to nonlinear dynamic boundary actuation are given. The consideration of such class of control systems is motivated by the use of actuators and sensors with nonlinear behavior in many engineering applications. These nonlinearities are usually associated to large deformations or the use of smart materials such as piezo actuators and memory shape alloys. Including them in the controller model results in passive dynamic controllers with nonlinear potential energy function and/or nonlinear damping forces. First it is shown that under very natural assumptions the solutions of the partial differential equation with the nonlinear dynamic boundary conditions exist globally. Secondly, when energy dissipation is present in the controller, then it globally asymptotically stabilizes the partial differential equation. Finally, it is shown that assuming some additional conditions on the interconnection and on the passivity properties of the controller (consistent with physical applications) global exponential stability of the closed-loop system is achieved. The conditions for existence of solutions and stability, asymptotic and exponential, of a large class of boundary controlled systems on a 1D spatial domain subject to nonlinear dynamic boundary actuation are given. The consideration of such class of control systems is motivated by the use of actuators and sensors with nonlinear behavior in many engineering applications. These nonlinearities are usually associated to large deformations or the use of smart materials such as piezo actuators and memory shape alloys. Including them in the controller model results in passive dynamic controllers with nonlinear potential energy function and/or nonlinear damping forces. First it is shown that under very natural assumptions the solutions of the partial differential equation with the nonlinear dynamic boundary conditions exist globally. Secondly, when energy dissipation is present in the controller, then it globally asymptotically stabilizes the partial differential equation. Finally, it is shown that assuming some additional conditions on the interconnection and on the passivity properties of the controller (consistent with physical applications) global exponential stability of the closed-loop system is achieved. Boundary control systems Elsevier Stabilization Elsevier Port-Hamiltonian systems Elsevier Nonlinear control Elsevier Existence of solutions Elsevier Zwart, Hans oth Le Gorrec, Yann oth 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:85 year:2017 pages:61-69 extent:9 https://doi.org/10.1016/j.automatica.2017.07.045 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA 44.48 Medizinische Genetik VZ AR 85 2017 61-69 9 045F 000 |
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10.1016/j.automatica.2017.07.045 doi GBV00000000000262A.pica (DE-627)ELV03076498X (ELSEVIER)S0005-1098(17)30390-4 DE-627 ger DE-627 rakwb eng 000 620 000 DE-600 620 DE-600 610 VZ 44.48 bkl Ramirez, Hector verfasserin aut Stabilization of infinite dimensional port-Hamiltonian systems by nonlinear dynamic boundary control 2017transfer abstract 9 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier The conditions for existence of solutions and stability, asymptotic and exponential, of a large class of boundary controlled systems on a 1D spatial domain subject to nonlinear dynamic boundary actuation are given. The consideration of such class of control systems is motivated by the use of actuators and sensors with nonlinear behavior in many engineering applications. These nonlinearities are usually associated to large deformations or the use of smart materials such as piezo actuators and memory shape alloys. Including them in the controller model results in passive dynamic controllers with nonlinear potential energy function and/or nonlinear damping forces. First it is shown that under very natural assumptions the solutions of the partial differential equation with the nonlinear dynamic boundary conditions exist globally. Secondly, when energy dissipation is present in the controller, then it globally asymptotically stabilizes the partial differential equation. Finally, it is shown that assuming some additional conditions on the interconnection and on the passivity properties of the controller (consistent with physical applications) global exponential stability of the closed-loop system is achieved. The conditions for existence of solutions and stability, asymptotic and exponential, of a large class of boundary controlled systems on a 1D spatial domain subject to nonlinear dynamic boundary actuation are given. The consideration of such class of control systems is motivated by the use of actuators and sensors with nonlinear behavior in many engineering applications. These nonlinearities are usually associated to large deformations or the use of smart materials such as piezo actuators and memory shape alloys. Including them in the controller model results in passive dynamic controllers with nonlinear potential energy function and/or nonlinear damping forces. First it is shown that under very natural assumptions the solutions of the partial differential equation with the nonlinear dynamic boundary conditions exist globally. Secondly, when energy dissipation is present in the controller, then it globally asymptotically stabilizes the partial differential equation. Finally, it is shown that assuming some additional conditions on the interconnection and on the passivity properties of the controller (consistent with physical applications) global exponential stability of the closed-loop system is achieved. Boundary control systems Elsevier Stabilization Elsevier Port-Hamiltonian systems Elsevier Nonlinear control Elsevier Existence of solutions Elsevier Zwart, Hans oth Le Gorrec, Yann oth 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:85 year:2017 pages:61-69 extent:9 https://doi.org/10.1016/j.automatica.2017.07.045 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA 44.48 Medizinische Genetik VZ AR 85 2017 61-69 9 045F 000 |
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10.1016/j.automatica.2017.07.045 doi GBV00000000000262A.pica (DE-627)ELV03076498X (ELSEVIER)S0005-1098(17)30390-4 DE-627 ger DE-627 rakwb eng 000 620 000 DE-600 620 DE-600 610 VZ 44.48 bkl Ramirez, Hector verfasserin aut Stabilization of infinite dimensional port-Hamiltonian systems by nonlinear dynamic boundary control 2017transfer abstract 9 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier The conditions for existence of solutions and stability, asymptotic and exponential, of a large class of boundary controlled systems on a 1D spatial domain subject to nonlinear dynamic boundary actuation are given. The consideration of such class of control systems is motivated by the use of actuators and sensors with nonlinear behavior in many engineering applications. These nonlinearities are usually associated to large deformations or the use of smart materials such as piezo actuators and memory shape alloys. Including them in the controller model results in passive dynamic controllers with nonlinear potential energy function and/or nonlinear damping forces. First it is shown that under very natural assumptions the solutions of the partial differential equation with the nonlinear dynamic boundary conditions exist globally. Secondly, when energy dissipation is present in the controller, then it globally asymptotically stabilizes the partial differential equation. Finally, it is shown that assuming some additional conditions on the interconnection and on the passivity properties of the controller (consistent with physical applications) global exponential stability of the closed-loop system is achieved. The conditions for existence of solutions and stability, asymptotic and exponential, of a large class of boundary controlled systems on a 1D spatial domain subject to nonlinear dynamic boundary actuation are given. The consideration of such class of control systems is motivated by the use of actuators and sensors with nonlinear behavior in many engineering applications. These nonlinearities are usually associated to large deformations or the use of smart materials such as piezo actuators and memory shape alloys. Including them in the controller model results in passive dynamic controllers with nonlinear potential energy function and/or nonlinear damping forces. First it is shown that under very natural assumptions the solutions of the partial differential equation with the nonlinear dynamic boundary conditions exist globally. Secondly, when energy dissipation is present in the controller, then it globally asymptotically stabilizes the partial differential equation. Finally, it is shown that assuming some additional conditions on the interconnection and on the passivity properties of the controller (consistent with physical applications) global exponential stability of the closed-loop system is achieved. Boundary control systems Elsevier Stabilization Elsevier Port-Hamiltonian systems Elsevier Nonlinear control Elsevier Existence of solutions Elsevier Zwart, Hans oth Le Gorrec, Yann oth 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:85 year:2017 pages:61-69 extent:9 https://doi.org/10.1016/j.automatica.2017.07.045 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA 44.48 Medizinische Genetik VZ AR 85 2017 61-69 9 045F 000 |
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10.1016/j.automatica.2017.07.045 doi GBV00000000000262A.pica (DE-627)ELV03076498X (ELSEVIER)S0005-1098(17)30390-4 DE-627 ger DE-627 rakwb eng 000 620 000 DE-600 620 DE-600 610 VZ 44.48 bkl Ramirez, Hector verfasserin aut Stabilization of infinite dimensional port-Hamiltonian systems by nonlinear dynamic boundary control 2017transfer abstract 9 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier The conditions for existence of solutions and stability, asymptotic and exponential, of a large class of boundary controlled systems on a 1D spatial domain subject to nonlinear dynamic boundary actuation are given. The consideration of such class of control systems is motivated by the use of actuators and sensors with nonlinear behavior in many engineering applications. These nonlinearities are usually associated to large deformations or the use of smart materials such as piezo actuators and memory shape alloys. Including them in the controller model results in passive dynamic controllers with nonlinear potential energy function and/or nonlinear damping forces. First it is shown that under very natural assumptions the solutions of the partial differential equation with the nonlinear dynamic boundary conditions exist globally. Secondly, when energy dissipation is present in the controller, then it globally asymptotically stabilizes the partial differential equation. Finally, it is shown that assuming some additional conditions on the interconnection and on the passivity properties of the controller (consistent with physical applications) global exponential stability of the closed-loop system is achieved. The conditions for existence of solutions and stability, asymptotic and exponential, of a large class of boundary controlled systems on a 1D spatial domain subject to nonlinear dynamic boundary actuation are given. The consideration of such class of control systems is motivated by the use of actuators and sensors with nonlinear behavior in many engineering applications. These nonlinearities are usually associated to large deformations or the use of smart materials such as piezo actuators and memory shape alloys. Including them in the controller model results in passive dynamic controllers with nonlinear potential energy function and/or nonlinear damping forces. First it is shown that under very natural assumptions the solutions of the partial differential equation with the nonlinear dynamic boundary conditions exist globally. Secondly, when energy dissipation is present in the controller, then it globally asymptotically stabilizes the partial differential equation. Finally, it is shown that assuming some additional conditions on the interconnection and on the passivity properties of the controller (consistent with physical applications) global exponential stability of the closed-loop system is achieved. Boundary control systems Elsevier Stabilization Elsevier Port-Hamiltonian systems Elsevier Nonlinear control Elsevier Existence of solutions Elsevier Zwart, Hans oth Le Gorrec, Yann oth 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:85 year:2017 pages:61-69 extent:9 https://doi.org/10.1016/j.automatica.2017.07.045 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA 44.48 Medizinische Genetik VZ AR 85 2017 61-69 9 045F 000 |
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English |
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Enthalten in Epithelial morphogenesis in organoids Amsterdam [u.a.] volume:85 year:2017 pages:61-69 extent:9 |
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Enthalten in Epithelial morphogenesis in organoids Amsterdam [u.a.] volume:85 year:2017 pages:61-69 extent:9 |
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Epithelial morphogenesis in organoids |
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Ramirez, Hector @@aut@@ Zwart, Hans @@oth@@ Le Gorrec, Yann @@oth@@ |
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Stabilization of infinite dimensional port-Hamiltonian systems by nonlinear dynamic boundary control |
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The conditions for existence of solutions and stability, asymptotic and exponential, of a large class of boundary controlled systems on a 1D spatial domain subject to nonlinear dynamic boundary actuation are given. The consideration of such class of control systems is motivated by the use of actuators and sensors with nonlinear behavior in many engineering applications. These nonlinearities are usually associated to large deformations or the use of smart materials such as piezo actuators and memory shape alloys. Including them in the controller model results in passive dynamic controllers with nonlinear potential energy function and/or nonlinear damping forces. First it is shown that under very natural assumptions the solutions of the partial differential equation with the nonlinear dynamic boundary conditions exist globally. Secondly, when energy dissipation is present in the controller, then it globally asymptotically stabilizes the partial differential equation. Finally, it is shown that assuming some additional conditions on the interconnection and on the passivity properties of the controller (consistent with physical applications) global exponential stability of the closed-loop system is achieved. |
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The conditions for existence of solutions and stability, asymptotic and exponential, of a large class of boundary controlled systems on a 1D spatial domain subject to nonlinear dynamic boundary actuation are given. The consideration of such class of control systems is motivated by the use of actuators and sensors with nonlinear behavior in many engineering applications. These nonlinearities are usually associated to large deformations or the use of smart materials such as piezo actuators and memory shape alloys. Including them in the controller model results in passive dynamic controllers with nonlinear potential energy function and/or nonlinear damping forces. First it is shown that under very natural assumptions the solutions of the partial differential equation with the nonlinear dynamic boundary conditions exist globally. Secondly, when energy dissipation is present in the controller, then it globally asymptotically stabilizes the partial differential equation. Finally, it is shown that assuming some additional conditions on the interconnection and on the passivity properties of the controller (consistent with physical applications) global exponential stability of the closed-loop system is achieved. |
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The conditions for existence of solutions and stability, asymptotic and exponential, of a large class of boundary controlled systems on a 1D spatial domain subject to nonlinear dynamic boundary actuation are given. The consideration of such class of control systems is motivated by the use of actuators and sensors with nonlinear behavior in many engineering applications. These nonlinearities are usually associated to large deformations or the use of smart materials such as piezo actuators and memory shape alloys. Including them in the controller model results in passive dynamic controllers with nonlinear potential energy function and/or nonlinear damping forces. First it is shown that under very natural assumptions the solutions of the partial differential equation with the nonlinear dynamic boundary conditions exist globally. Secondly, when energy dissipation is present in the controller, then it globally asymptotically stabilizes the partial differential equation. Finally, it is shown that assuming some additional conditions on the interconnection and on the passivity properties of the controller (consistent with physical applications) global exponential stability of the closed-loop system is achieved. |
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