The PDF shape control of the state variable for a class of stochastic systems
The shape control of probability density function (PDF) is an important subject in stochastic systems. The PDF-shaping control study has ranged from linear systems to non-linear systems. In this paper we present a PDF-shaping control technique which is useful for a class of non-linear stochastic sys...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Wang, Lingzhi [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2015 |
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| Rechteinformationen: |
Nutzungsrecht: © 2013 Taylor & Francis 2013 |
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| Schlagwörter: |
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| Systematik: |
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| Übergeordnetes Werk: |
Enthalten in: International journal of systems science - London [u.a.] : Taylor & Francis, 1970, 46(2015), 12, Seite 2231-2239 |
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| Übergeordnetes Werk: |
volume:46 ; year:2015 ; number:12 ; pages:2231-2239 |
| Links: |
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| DOI / URN: |
10.1080/00207721.2013.860201 |
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OLC1967638209 |
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| 520 | |a The shape control of probability density function (PDF) is an important subject in stochastic systems. The PDF-shaping control study has ranged from linear systems to non-linear systems. In this paper we present a PDF-shaping control technique which is useful for a class of non-linear stochastic systems. Controlling the PDF shape requires designing a controller to make the state PDF follow the goal PDF; it is actually to determine the gains of the controller. As we know, the stationary PDF of the state variable is equivalent to the solution of the Fokker-Planck-Kolmogorov (FPK) equation arising from the stochastic system driven with Gaussian white noise. After designing the controller, we derive the solution with some parameters to the corresponding FPK equation, and then solve out the parameters in the solution by the linear-least-squares method, therefore obtaining the gains of the controller. Finally, simulation experiments have been carried out to verify the effectiveness of the approach. | ||
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| 700 | 1 | |a Liu, Jun |4 oth | |
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10.1080/00207721.2013.860201 doi PQ20160617 (DE-627)OLC1967638209 (DE-599)GBVOLC1967638209 (PRQ)c1881-388df201544c082d6c925a071dd3a8fda88b237a70893bc4eec812812b5cba8e0 (KEY)0076963020150000046001202231pdfshapecontrolofthestatevariableforaclassofstocha DE-627 ger DE-627 rakwb eng 510 000 620 DNB SA 5880 AVZ rvk 30.10 bkl 31.80 bkl 54.76 bkl Wang, Lingzhi verfasserin aut The PDF shape control of the state variable for a class of stochastic systems 2015 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier The shape control of probability density function (PDF) is an important subject in stochastic systems. The PDF-shaping control study has ranged from linear systems to non-linear systems. In this paper we present a PDF-shaping control technique which is useful for a class of non-linear stochastic systems. Controlling the PDF shape requires designing a controller to make the state PDF follow the goal PDF; it is actually to determine the gains of the controller. As we know, the stationary PDF of the state variable is equivalent to the solution of the Fokker-Planck-Kolmogorov (FPK) equation arising from the stochastic system driven with Gaussian white noise. After designing the controller, we derive the solution with some parameters to the corresponding FPK equation, and then solve out the parameters in the solution by the linear-least-squares method, therefore obtaining the gains of the controller. Finally, simulation experiments have been carried out to verify the effectiveness of the approach. Nutzungsrecht: © 2013 Taylor & Francis 2013 FPK equation shape control state variable stochastic systems linear-least-squares method probability density function Qian, Fucai oth Liu, Jun oth Enthalten in International journal of systems science London [u.a.] : Taylor & Francis, 1970 46(2015), 12, Seite 2231-2239 (DE-627)129358843 (DE-600)160479-X (DE-576)014731169 0020-7721 nnns volume:46 year:2015 number:12 pages:2231-2239 http://dx.doi.org/10.1080/00207721.2013.860201 Volltext http://www.tandfonline.com/doi/abs/10.1080/00207721.2013.860201 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 SA 5880 30.10 AVZ 31.80 AVZ 54.76 AVZ AR 46 2015 12 2231-2239 |
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10.1080/00207721.2013.860201 doi PQ20160617 (DE-627)OLC1967638209 (DE-599)GBVOLC1967638209 (PRQ)c1881-388df201544c082d6c925a071dd3a8fda88b237a70893bc4eec812812b5cba8e0 (KEY)0076963020150000046001202231pdfshapecontrolofthestatevariableforaclassofstocha DE-627 ger DE-627 rakwb eng 510 000 620 DNB SA 5880 AVZ rvk 30.10 bkl 31.80 bkl 54.76 bkl Wang, Lingzhi verfasserin aut The PDF shape control of the state variable for a class of stochastic systems 2015 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier The shape control of probability density function (PDF) is an important subject in stochastic systems. The PDF-shaping control study has ranged from linear systems to non-linear systems. In this paper we present a PDF-shaping control technique which is useful for a class of non-linear stochastic systems. Controlling the PDF shape requires designing a controller to make the state PDF follow the goal PDF; it is actually to determine the gains of the controller. As we know, the stationary PDF of the state variable is equivalent to the solution of the Fokker-Planck-Kolmogorov (FPK) equation arising from the stochastic system driven with Gaussian white noise. After designing the controller, we derive the solution with some parameters to the corresponding FPK equation, and then solve out the parameters in the solution by the linear-least-squares method, therefore obtaining the gains of the controller. Finally, simulation experiments have been carried out to verify the effectiveness of the approach. Nutzungsrecht: © 2013 Taylor & Francis 2013 FPK equation shape control state variable stochastic systems linear-least-squares method probability density function Qian, Fucai oth Liu, Jun oth Enthalten in International journal of systems science London [u.a.] : Taylor & Francis, 1970 46(2015), 12, Seite 2231-2239 (DE-627)129358843 (DE-600)160479-X (DE-576)014731169 0020-7721 nnns volume:46 year:2015 number:12 pages:2231-2239 http://dx.doi.org/10.1080/00207721.2013.860201 Volltext http://www.tandfonline.com/doi/abs/10.1080/00207721.2013.860201 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 SA 5880 30.10 AVZ 31.80 AVZ 54.76 AVZ AR 46 2015 12 2231-2239 |
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10.1080/00207721.2013.860201 doi PQ20160617 (DE-627)OLC1967638209 (DE-599)GBVOLC1967638209 (PRQ)c1881-388df201544c082d6c925a071dd3a8fda88b237a70893bc4eec812812b5cba8e0 (KEY)0076963020150000046001202231pdfshapecontrolofthestatevariableforaclassofstocha DE-627 ger DE-627 rakwb eng 510 000 620 DNB SA 5880 AVZ rvk 30.10 bkl 31.80 bkl 54.76 bkl Wang, Lingzhi verfasserin aut The PDF shape control of the state variable for a class of stochastic systems 2015 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier The shape control of probability density function (PDF) is an important subject in stochastic systems. The PDF-shaping control study has ranged from linear systems to non-linear systems. In this paper we present a PDF-shaping control technique which is useful for a class of non-linear stochastic systems. Controlling the PDF shape requires designing a controller to make the state PDF follow the goal PDF; it is actually to determine the gains of the controller. As we know, the stationary PDF of the state variable is equivalent to the solution of the Fokker-Planck-Kolmogorov (FPK) equation arising from the stochastic system driven with Gaussian white noise. After designing the controller, we derive the solution with some parameters to the corresponding FPK equation, and then solve out the parameters in the solution by the linear-least-squares method, therefore obtaining the gains of the controller. Finally, simulation experiments have been carried out to verify the effectiveness of the approach. Nutzungsrecht: © 2013 Taylor & Francis 2013 FPK equation shape control state variable stochastic systems linear-least-squares method probability density function Qian, Fucai oth Liu, Jun oth Enthalten in International journal of systems science London [u.a.] : Taylor & Francis, 1970 46(2015), 12, Seite 2231-2239 (DE-627)129358843 (DE-600)160479-X (DE-576)014731169 0020-7721 nnns volume:46 year:2015 number:12 pages:2231-2239 http://dx.doi.org/10.1080/00207721.2013.860201 Volltext http://www.tandfonline.com/doi/abs/10.1080/00207721.2013.860201 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 SA 5880 30.10 AVZ 31.80 AVZ 54.76 AVZ AR 46 2015 12 2231-2239 |
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10.1080/00207721.2013.860201 doi PQ20160617 (DE-627)OLC1967638209 (DE-599)GBVOLC1967638209 (PRQ)c1881-388df201544c082d6c925a071dd3a8fda88b237a70893bc4eec812812b5cba8e0 (KEY)0076963020150000046001202231pdfshapecontrolofthestatevariableforaclassofstocha DE-627 ger DE-627 rakwb eng 510 000 620 DNB SA 5880 AVZ rvk 30.10 bkl 31.80 bkl 54.76 bkl Wang, Lingzhi verfasserin aut The PDF shape control of the state variable for a class of stochastic systems 2015 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier The shape control of probability density function (PDF) is an important subject in stochastic systems. The PDF-shaping control study has ranged from linear systems to non-linear systems. In this paper we present a PDF-shaping control technique which is useful for a class of non-linear stochastic systems. Controlling the PDF shape requires designing a controller to make the state PDF follow the goal PDF; it is actually to determine the gains of the controller. As we know, the stationary PDF of the state variable is equivalent to the solution of the Fokker-Planck-Kolmogorov (FPK) equation arising from the stochastic system driven with Gaussian white noise. After designing the controller, we derive the solution with some parameters to the corresponding FPK equation, and then solve out the parameters in the solution by the linear-least-squares method, therefore obtaining the gains of the controller. Finally, simulation experiments have been carried out to verify the effectiveness of the approach. Nutzungsrecht: © 2013 Taylor & Francis 2013 FPK equation shape control state variable stochastic systems linear-least-squares method probability density function Qian, Fucai oth Liu, Jun oth Enthalten in International journal of systems science London [u.a.] : Taylor & Francis, 1970 46(2015), 12, Seite 2231-2239 (DE-627)129358843 (DE-600)160479-X (DE-576)014731169 0020-7721 nnns volume:46 year:2015 number:12 pages:2231-2239 http://dx.doi.org/10.1080/00207721.2013.860201 Volltext http://www.tandfonline.com/doi/abs/10.1080/00207721.2013.860201 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 SA 5880 30.10 AVZ 31.80 AVZ 54.76 AVZ AR 46 2015 12 2231-2239 |
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10.1080/00207721.2013.860201 doi PQ20160617 (DE-627)OLC1967638209 (DE-599)GBVOLC1967638209 (PRQ)c1881-388df201544c082d6c925a071dd3a8fda88b237a70893bc4eec812812b5cba8e0 (KEY)0076963020150000046001202231pdfshapecontrolofthestatevariableforaclassofstocha DE-627 ger DE-627 rakwb eng 510 000 620 DNB SA 5880 AVZ rvk 30.10 bkl 31.80 bkl 54.76 bkl Wang, Lingzhi verfasserin aut The PDF shape control of the state variable for a class of stochastic systems 2015 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier The shape control of probability density function (PDF) is an important subject in stochastic systems. The PDF-shaping control study has ranged from linear systems to non-linear systems. In this paper we present a PDF-shaping control technique which is useful for a class of non-linear stochastic systems. Controlling the PDF shape requires designing a controller to make the state PDF follow the goal PDF; it is actually to determine the gains of the controller. As we know, the stationary PDF of the state variable is equivalent to the solution of the Fokker-Planck-Kolmogorov (FPK) equation arising from the stochastic system driven with Gaussian white noise. After designing the controller, we derive the solution with some parameters to the corresponding FPK equation, and then solve out the parameters in the solution by the linear-least-squares method, therefore obtaining the gains of the controller. Finally, simulation experiments have been carried out to verify the effectiveness of the approach. Nutzungsrecht: © 2013 Taylor & Francis 2013 FPK equation shape control state variable stochastic systems linear-least-squares method probability density function Qian, Fucai oth Liu, Jun oth Enthalten in International journal of systems science London [u.a.] : Taylor & Francis, 1970 46(2015), 12, Seite 2231-2239 (DE-627)129358843 (DE-600)160479-X (DE-576)014731169 0020-7721 nnns volume:46 year:2015 number:12 pages:2231-2239 http://dx.doi.org/10.1080/00207721.2013.860201 Volltext http://www.tandfonline.com/doi/abs/10.1080/00207721.2013.860201 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 SA 5880 30.10 AVZ 31.80 AVZ 54.76 AVZ AR 46 2015 12 2231-2239 |
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510 000 620 DNB SA 5880 AVZ rvk 30.10 bkl 31.80 bkl 54.76 bkl The PDF shape control of the state variable for a class of stochastic systems FPK equation shape control state variable stochastic systems linear-least-squares method probability density function |
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ddc 510 rvk SA 5880 bkl 30.10 bkl 31.80 bkl 54.76 misc FPK equation misc shape control misc state variable misc stochastic systems misc linear-least-squares method misc probability density function |
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ddc 510 rvk SA 5880 bkl 30.10 bkl 31.80 bkl 54.76 misc FPK equation misc shape control misc state variable misc stochastic systems misc linear-least-squares method misc probability density function |
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The PDF shape control of the state variable for a class of stochastic systems |
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The PDF shape control of the state variable for a class of stochastic systems |
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Wang, Lingzhi |
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International journal of systems science |
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pdf shape control of the state variable for a class of stochastic systems |
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The PDF shape control of the state variable for a class of stochastic systems |
| abstract |
The shape control of probability density function (PDF) is an important subject in stochastic systems. The PDF-shaping control study has ranged from linear systems to non-linear systems. In this paper we present a PDF-shaping control technique which is useful for a class of non-linear stochastic systems. Controlling the PDF shape requires designing a controller to make the state PDF follow the goal PDF; it is actually to determine the gains of the controller. As we know, the stationary PDF of the state variable is equivalent to the solution of the Fokker-Planck-Kolmogorov (FPK) equation arising from the stochastic system driven with Gaussian white noise. After designing the controller, we derive the solution with some parameters to the corresponding FPK equation, and then solve out the parameters in the solution by the linear-least-squares method, therefore obtaining the gains of the controller. Finally, simulation experiments have been carried out to verify the effectiveness of the approach. |
| abstractGer |
The shape control of probability density function (PDF) is an important subject in stochastic systems. The PDF-shaping control study has ranged from linear systems to non-linear systems. In this paper we present a PDF-shaping control technique which is useful for a class of non-linear stochastic systems. Controlling the PDF shape requires designing a controller to make the state PDF follow the goal PDF; it is actually to determine the gains of the controller. As we know, the stationary PDF of the state variable is equivalent to the solution of the Fokker-Planck-Kolmogorov (FPK) equation arising from the stochastic system driven with Gaussian white noise. After designing the controller, we derive the solution with some parameters to the corresponding FPK equation, and then solve out the parameters in the solution by the linear-least-squares method, therefore obtaining the gains of the controller. Finally, simulation experiments have been carried out to verify the effectiveness of the approach. |
| abstract_unstemmed |
The shape control of probability density function (PDF) is an important subject in stochastic systems. The PDF-shaping control study has ranged from linear systems to non-linear systems. In this paper we present a PDF-shaping control technique which is useful for a class of non-linear stochastic systems. Controlling the PDF shape requires designing a controller to make the state PDF follow the goal PDF; it is actually to determine the gains of the controller. As we know, the stationary PDF of the state variable is equivalent to the solution of the Fokker-Planck-Kolmogorov (FPK) equation arising from the stochastic system driven with Gaussian white noise. After designing the controller, we derive the solution with some parameters to the corresponding FPK equation, and then solve out the parameters in the solution by the linear-least-squares method, therefore obtaining the gains of the controller. Finally, simulation experiments have been carried out to verify the effectiveness of the approach. |
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| title_short |
The PDF shape control of the state variable for a class of stochastic systems |
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http://dx.doi.org/10.1080/00207721.2013.860201 http://www.tandfonline.com/doi/abs/10.1080/00207721.2013.860201 |
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