Stabilizing uncertain steady states of some dynamical systems by means of proportional feedback
A simple zero-order proportional feedback technique for stabilizing unknown fixed points is described. The technique employs either artificially created or natural stable fixed point to find the coordinates of the unknown unstable fixed point. Four physical examples have been investigated, namely th...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Vilnius University Press
2013-01-01
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| Series: | Nonlinear Analysis |
| Subjects: | |
| Online Access: | http://www.journals.vu.lt/nonlinear-analysis/article/view/14034 |
| _version_ | 1818336519915569152 |
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| author | Elena Tamaševičiūtė Arūnas Tamaševičius |
| author_facet | Elena Tamaševičiūtė Arūnas Tamaševičius |
| author_sort | Elena Tamaševičiūtė |
| collection | DOAJ |
| description | A simple zero-order proportional feedback technique for stabilizing unknown fixed points is described. The technique employs either artificially created or natural stable fixed point to find the coordinates of the unknown unstable fixed point. Four physical examples have been investigated, namely the mechanical pendulum, the autonomous Duffing damped oscillator, the van der Pol oscillator, and the Lorenz system have been considered both analytically and numerically. |
| first_indexed | 2024-12-13T14:40:37Z |
| format | Article |
| id | doaj.art-f9d20e0f26554c8fa06a4080466ff29d |
| institution | Directory Open Access Journal |
| issn | 1392-5113 2335-8963 |
| language | English |
| last_indexed | 2024-12-13T14:40:37Z |
| publishDate | 2013-01-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Nonlinear Analysis |
| spelling | doaj.art-f9d20e0f26554c8fa06a4080466ff29d2022-12-21T23:41:38ZengVilnius University PressNonlinear Analysis1392-51132335-89632013-01-01181Stabilizing uncertain steady states of some dynamical systems by means of proportional feedbackElena Tamaševičiūtė0Arūnas Tamaševičius1Center for Physical Sciences and Technology, LithuaniaCenter for Physical Sciences and Technology, LithuaniaA simple zero-order proportional feedback technique for stabilizing unknown fixed points is described. The technique employs either artificially created or natural stable fixed point to find the coordinates of the unknown unstable fixed point. Four physical examples have been investigated, namely the mechanical pendulum, the autonomous Duffing damped oscillator, the van der Pol oscillator, and the Lorenz system have been considered both analytically and numerically.http://www.journals.vu.lt/nonlinear-analysis/article/view/14034controlsteady statesproportional feedback |
| spellingShingle | Elena Tamaševičiūtė Arūnas Tamaševičius Stabilizing uncertain steady states of some dynamical systems by means of proportional feedback Nonlinear Analysis control steady states proportional feedback |
| title | Stabilizing uncertain steady states of some dynamical systems by means of proportional feedback |
| title_full | Stabilizing uncertain steady states of some dynamical systems by means of proportional feedback |
| title_fullStr | Stabilizing uncertain steady states of some dynamical systems by means of proportional feedback |
| title_full_unstemmed | Stabilizing uncertain steady states of some dynamical systems by means of proportional feedback |
| title_short | Stabilizing uncertain steady states of some dynamical systems by means of proportional feedback |
| title_sort | stabilizing uncertain steady states of some dynamical systems by means of proportional feedback |
| topic | control steady states proportional feedback |
| url | http://www.journals.vu.lt/nonlinear-analysis/article/view/14034 |
| work_keys_str_mv | AT elenatamaseviciute stabilizinguncertainsteadystatesofsomedynamicalsystemsbymeansofproportionalfeedback AT arunastamasevicius stabilizinguncertainsteadystatesofsomedynamicalsystemsbymeansofproportionalfeedback |