Partial Stabilization of Input-Output Contact Systems on a Legendre Submanifold
This technical note addresses the structure preserving stabilization by output feedback of conservative input-output contact systems, a class of input-output Hamiltonian systems defined on contact manifolds. In the first instance, achievable contact forms in closed-loop and the associated Legendre s...
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Gespeichert in:
| Autor*in: |
Ramirez, Hector [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2017 |
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| Schlagwörter: |
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| Übergeordnetes Werk: |
Enthalten in: IEEE transactions on automatic control - New York, NY : Inst., 1963, 62(2017), 3, Seite 1431-1437 |
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| Übergeordnetes Werk: |
volume:62 ; year:2017 ; number:3 ; pages:1431-1437 |
| Links: |
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| DOI / URN: |
10.1109/TAC.2016.2572403 |
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| 520 | |a This technical note addresses the structure preserving stabilization by output feedback of conservative input-output contact systems, a class of input-output Hamiltonian systems defined on contact manifolds. In the first instance, achievable contact forms in closed-loop and the associated Legendre submanifolds are analysed. In the second instance the stability properties of a hyperbolic equilibrium point of a strict contact vector field are analysed and it is shown that the stable and unstable manifolds are Legendre submanifolds. In the third instance the consequences for the design of stable structure preserving output feedback are derived: in closed-loop one may achieve stability only relatively to some invariant Legendre submanifold of the closed-loop contact form and furthermore this Legendre submanifold may be used as a control design parameter. The results are illustrated along the technical note on the example of heat transfer between two compartments and a controlled thermostat. | ||
| 650 | 4 | |a feedback stabilization | |
| 650 | 4 | |a Heating | |
| 650 | 4 | |a Thermodynamics | |
| 650 | 4 | |a Contact systems | |
| 650 | 4 | |a Stability analysis | |
| 650 | 4 | |a Manifolds | |
| 650 | 4 | |a Nonlinear control systems | |
| 650 | 4 | |a Output feedback | |
| 650 | 4 | |a irreversible thermodynamics | |
| 650 | 4 | |a Entropy | |
| 700 | 1 | |a Maschke, Bernhard |4 oth | |
| 700 | 1 | |a Sbarbaro, Daniel |4 oth | |
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10.1109/TAC.2016.2572403 doi PQ20170501 (DE-627)OLC199183912X (DE-599)GBVOLC199183912X (PRQ)c1302-75ed8373b97220e63545828f3821fa1f70e83ad5ebb2d0f3749b87024525d4310 (KEY)0005057120170000062000301431partialstabilizationofinputoutputcontactsystemsona DE-627 ger DE-627 rakwb eng 620 DNB Ramirez, Hector verfasserin aut Partial Stabilization of Input-Output Contact Systems on a Legendre Submanifold 2017 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier This technical note addresses the structure preserving stabilization by output feedback of conservative input-output contact systems, a class of input-output Hamiltonian systems defined on contact manifolds. In the first instance, achievable contact forms in closed-loop and the associated Legendre submanifolds are analysed. In the second instance the stability properties of a hyperbolic equilibrium point of a strict contact vector field are analysed and it is shown that the stable and unstable manifolds are Legendre submanifolds. In the third instance the consequences for the design of stable structure preserving output feedback are derived: in closed-loop one may achieve stability only relatively to some invariant Legendre submanifold of the closed-loop contact form and furthermore this Legendre submanifold may be used as a control design parameter. The results are illustrated along the technical note on the example of heat transfer between two compartments and a controlled thermostat. feedback stabilization Heating Thermodynamics Contact systems Stability analysis Manifolds Nonlinear control systems Output feedback irreversible thermodynamics Entropy Maschke, Bernhard oth Sbarbaro, Daniel oth Enthalten in IEEE transactions on automatic control New York, NY : Inst., 1963 62(2017), 3, Seite 1431-1437 (DE-627)129601705 (DE-600)241443-0 (DE-576)015095320 0018-9286 nnns volume:62 year:2017 number:3 pages:1431-1437 http://dx.doi.org/10.1109/TAC.2016.2572403 Volltext http://ieeexplore.ieee.org/document/7478039 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-MAT GBV_ILN_11 GBV_ILN_70 GBV_ILN_120 GBV_ILN_193 GBV_ILN_2014 GBV_ILN_2016 GBV_ILN_2333 GBV_ILN_4193 AR 62 2017 3 1431-1437 |
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10.1109/TAC.2016.2572403 doi PQ20170501 (DE-627)OLC199183912X (DE-599)GBVOLC199183912X (PRQ)c1302-75ed8373b97220e63545828f3821fa1f70e83ad5ebb2d0f3749b87024525d4310 (KEY)0005057120170000062000301431partialstabilizationofinputoutputcontactsystemsona DE-627 ger DE-627 rakwb eng 620 DNB Ramirez, Hector verfasserin aut Partial Stabilization of Input-Output Contact Systems on a Legendre Submanifold 2017 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier This technical note addresses the structure preserving stabilization by output feedback of conservative input-output contact systems, a class of input-output Hamiltonian systems defined on contact manifolds. In the first instance, achievable contact forms in closed-loop and the associated Legendre submanifolds are analysed. In the second instance the stability properties of a hyperbolic equilibrium point of a strict contact vector field are analysed and it is shown that the stable and unstable manifolds are Legendre submanifolds. In the third instance the consequences for the design of stable structure preserving output feedback are derived: in closed-loop one may achieve stability only relatively to some invariant Legendre submanifold of the closed-loop contact form and furthermore this Legendre submanifold may be used as a control design parameter. The results are illustrated along the technical note on the example of heat transfer between two compartments and a controlled thermostat. feedback stabilization Heating Thermodynamics Contact systems Stability analysis Manifolds Nonlinear control systems Output feedback irreversible thermodynamics Entropy Maschke, Bernhard oth Sbarbaro, Daniel oth Enthalten in IEEE transactions on automatic control New York, NY : Inst., 1963 62(2017), 3, Seite 1431-1437 (DE-627)129601705 (DE-600)241443-0 (DE-576)015095320 0018-9286 nnns volume:62 year:2017 number:3 pages:1431-1437 http://dx.doi.org/10.1109/TAC.2016.2572403 Volltext http://ieeexplore.ieee.org/document/7478039 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-MAT GBV_ILN_11 GBV_ILN_70 GBV_ILN_120 GBV_ILN_193 GBV_ILN_2014 GBV_ILN_2016 GBV_ILN_2333 GBV_ILN_4193 AR 62 2017 3 1431-1437 |
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10.1109/TAC.2016.2572403 doi PQ20170501 (DE-627)OLC199183912X (DE-599)GBVOLC199183912X (PRQ)c1302-75ed8373b97220e63545828f3821fa1f70e83ad5ebb2d0f3749b87024525d4310 (KEY)0005057120170000062000301431partialstabilizationofinputoutputcontactsystemsona DE-627 ger DE-627 rakwb eng 620 DNB Ramirez, Hector verfasserin aut Partial Stabilization of Input-Output Contact Systems on a Legendre Submanifold 2017 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier This technical note addresses the structure preserving stabilization by output feedback of conservative input-output contact systems, a class of input-output Hamiltonian systems defined on contact manifolds. In the first instance, achievable contact forms in closed-loop and the associated Legendre submanifolds are analysed. In the second instance the stability properties of a hyperbolic equilibrium point of a strict contact vector field are analysed and it is shown that the stable and unstable manifolds are Legendre submanifolds. In the third instance the consequences for the design of stable structure preserving output feedback are derived: in closed-loop one may achieve stability only relatively to some invariant Legendre submanifold of the closed-loop contact form and furthermore this Legendre submanifold may be used as a control design parameter. The results are illustrated along the technical note on the example of heat transfer between two compartments and a controlled thermostat. feedback stabilization Heating Thermodynamics Contact systems Stability analysis Manifolds Nonlinear control systems Output feedback irreversible thermodynamics Entropy Maschke, Bernhard oth Sbarbaro, Daniel oth Enthalten in IEEE transactions on automatic control New York, NY : Inst., 1963 62(2017), 3, Seite 1431-1437 (DE-627)129601705 (DE-600)241443-0 (DE-576)015095320 0018-9286 nnns volume:62 year:2017 number:3 pages:1431-1437 http://dx.doi.org/10.1109/TAC.2016.2572403 Volltext http://ieeexplore.ieee.org/document/7478039 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-MAT GBV_ILN_11 GBV_ILN_70 GBV_ILN_120 GBV_ILN_193 GBV_ILN_2014 GBV_ILN_2016 GBV_ILN_2333 GBV_ILN_4193 AR 62 2017 3 1431-1437 |
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10.1109/TAC.2016.2572403 doi PQ20170501 (DE-627)OLC199183912X (DE-599)GBVOLC199183912X (PRQ)c1302-75ed8373b97220e63545828f3821fa1f70e83ad5ebb2d0f3749b87024525d4310 (KEY)0005057120170000062000301431partialstabilizationofinputoutputcontactsystemsona DE-627 ger DE-627 rakwb eng 620 DNB Ramirez, Hector verfasserin aut Partial Stabilization of Input-Output Contact Systems on a Legendre Submanifold 2017 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier This technical note addresses the structure preserving stabilization by output feedback of conservative input-output contact systems, a class of input-output Hamiltonian systems defined on contact manifolds. In the first instance, achievable contact forms in closed-loop and the associated Legendre submanifolds are analysed. In the second instance the stability properties of a hyperbolic equilibrium point of a strict contact vector field are analysed and it is shown that the stable and unstable manifolds are Legendre submanifolds. In the third instance the consequences for the design of stable structure preserving output feedback are derived: in closed-loop one may achieve stability only relatively to some invariant Legendre submanifold of the closed-loop contact form and furthermore this Legendre submanifold may be used as a control design parameter. The results are illustrated along the technical note on the example of heat transfer between two compartments and a controlled thermostat. feedback stabilization Heating Thermodynamics Contact systems Stability analysis Manifolds Nonlinear control systems Output feedback irreversible thermodynamics Entropy Maschke, Bernhard oth Sbarbaro, Daniel oth Enthalten in IEEE transactions on automatic control New York, NY : Inst., 1963 62(2017), 3, Seite 1431-1437 (DE-627)129601705 (DE-600)241443-0 (DE-576)015095320 0018-9286 nnns volume:62 year:2017 number:3 pages:1431-1437 http://dx.doi.org/10.1109/TAC.2016.2572403 Volltext http://ieeexplore.ieee.org/document/7478039 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-MAT GBV_ILN_11 GBV_ILN_70 GBV_ILN_120 GBV_ILN_193 GBV_ILN_2014 GBV_ILN_2016 GBV_ILN_2333 GBV_ILN_4193 AR 62 2017 3 1431-1437 |
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10.1109/TAC.2016.2572403 doi PQ20170501 (DE-627)OLC199183912X (DE-599)GBVOLC199183912X (PRQ)c1302-75ed8373b97220e63545828f3821fa1f70e83ad5ebb2d0f3749b87024525d4310 (KEY)0005057120170000062000301431partialstabilizationofinputoutputcontactsystemsona DE-627 ger DE-627 rakwb eng 620 DNB Ramirez, Hector verfasserin aut Partial Stabilization of Input-Output Contact Systems on a Legendre Submanifold 2017 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier This technical note addresses the structure preserving stabilization by output feedback of conservative input-output contact systems, a class of input-output Hamiltonian systems defined on contact manifolds. In the first instance, achievable contact forms in closed-loop and the associated Legendre submanifolds are analysed. In the second instance the stability properties of a hyperbolic equilibrium point of a strict contact vector field are analysed and it is shown that the stable and unstable manifolds are Legendre submanifolds. In the third instance the consequences for the design of stable structure preserving output feedback are derived: in closed-loop one may achieve stability only relatively to some invariant Legendre submanifold of the closed-loop contact form and furthermore this Legendre submanifold may be used as a control design parameter. The results are illustrated along the technical note on the example of heat transfer between two compartments and a controlled thermostat. feedback stabilization Heating Thermodynamics Contact systems Stability analysis Manifolds Nonlinear control systems Output feedback irreversible thermodynamics Entropy Maschke, Bernhard oth Sbarbaro, Daniel oth Enthalten in IEEE transactions on automatic control New York, NY : Inst., 1963 62(2017), 3, Seite 1431-1437 (DE-627)129601705 (DE-600)241443-0 (DE-576)015095320 0018-9286 nnns volume:62 year:2017 number:3 pages:1431-1437 http://dx.doi.org/10.1109/TAC.2016.2572403 Volltext http://ieeexplore.ieee.org/document/7478039 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-MAT GBV_ILN_11 GBV_ILN_70 GBV_ILN_120 GBV_ILN_193 GBV_ILN_2014 GBV_ILN_2016 GBV_ILN_2333 GBV_ILN_4193 AR 62 2017 3 1431-1437 |
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Partial Stabilization of Input-Output Contact Systems on a Legendre Submanifold |
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| title_full |
Partial Stabilization of Input-Output Contact Systems on a Legendre Submanifold |
| author_sort |
Ramirez, Hector |
| journal |
IEEE transactions on automatic control |
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IEEE transactions on automatic control |
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eng |
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600 - Technology |
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Ramirez, Hector |
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Ramirez, Hector |
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10.1109/TAC.2016.2572403 |
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620 |
| title_sort |
partial stabilization of input-output contact systems on a legendre submanifold |
| title_auth |
Partial Stabilization of Input-Output Contact Systems on a Legendre Submanifold |
| abstract |
This technical note addresses the structure preserving stabilization by output feedback of conservative input-output contact systems, a class of input-output Hamiltonian systems defined on contact manifolds. In the first instance, achievable contact forms in closed-loop and the associated Legendre submanifolds are analysed. In the second instance the stability properties of a hyperbolic equilibrium point of a strict contact vector field are analysed and it is shown that the stable and unstable manifolds are Legendre submanifolds. In the third instance the consequences for the design of stable structure preserving output feedback are derived: in closed-loop one may achieve stability only relatively to some invariant Legendre submanifold of the closed-loop contact form and furthermore this Legendre submanifold may be used as a control design parameter. The results are illustrated along the technical note on the example of heat transfer between two compartments and a controlled thermostat. |
| abstractGer |
This technical note addresses the structure preserving stabilization by output feedback of conservative input-output contact systems, a class of input-output Hamiltonian systems defined on contact manifolds. In the first instance, achievable contact forms in closed-loop and the associated Legendre submanifolds are analysed. In the second instance the stability properties of a hyperbolic equilibrium point of a strict contact vector field are analysed and it is shown that the stable and unstable manifolds are Legendre submanifolds. In the third instance the consequences for the design of stable structure preserving output feedback are derived: in closed-loop one may achieve stability only relatively to some invariant Legendre submanifold of the closed-loop contact form and furthermore this Legendre submanifold may be used as a control design parameter. The results are illustrated along the technical note on the example of heat transfer between two compartments and a controlled thermostat. |
| abstract_unstemmed |
This technical note addresses the structure preserving stabilization by output feedback of conservative input-output contact systems, a class of input-output Hamiltonian systems defined on contact manifolds. In the first instance, achievable contact forms in closed-loop and the associated Legendre submanifolds are analysed. In the second instance the stability properties of a hyperbolic equilibrium point of a strict contact vector field are analysed and it is shown that the stable and unstable manifolds are Legendre submanifolds. In the third instance the consequences for the design of stable structure preserving output feedback are derived: in closed-loop one may achieve stability only relatively to some invariant Legendre submanifold of the closed-loop contact form and furthermore this Legendre submanifold may be used as a control design parameter. The results are illustrated along the technical note on the example of heat transfer between two compartments and a controlled thermostat. |
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| title_short |
Partial Stabilization of Input-Output Contact Systems on a Legendre Submanifold |
| url |
http://dx.doi.org/10.1109/TAC.2016.2572403 http://ieeexplore.ieee.org/document/7478039 |
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Maschke, Bernhard Sbarbaro, Daniel |
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| up_date |
2024-07-04T03:44:07.266Z |
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