Passivity Analysis of Nonlinear Euler-Bernoulli Beams
The Lagrangian equations for distributed-parameter systems based on Hamilton's principle are developed. These equations are subsequently used to derive nonlinear models for beams. The passivity properties of the flexible mechanical systems based on their distributed-parameter models are then in...
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| Format: | Article |
| Language: | English |
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Norwegian Society of Automatic Control
2002-10-01
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| Series: | Modeling, Identification and Control |
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| Online Access: | http://www.mic-journal.no/PDF/2002/MIC-2002-4-1.pdf |
| _version_ | 1824019556693180416 |
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| author | Mehrdad P. Fard |
| author_facet | Mehrdad P. Fard |
| author_sort | Mehrdad P. Fard |
| collection | DOAJ |
| description | The Lagrangian equations for distributed-parameter systems based on Hamilton's principle are developed. These equations are subsequently used to derive nonlinear models for beams. The passivity properties of the flexible mechanical systems based on their distributed-parameter models are then investigated and direct output feedback control laws for control purposes are proposed. Finite gain L2 stability and passivity of closed-loop systems are proven. Illustrative cases with simulation of the nonlinear beams and stabilizing feedback control laws are included in the text. |
| first_indexed | 2024-12-19T01:21:05Z |
| format | Article |
| id | doaj.art-ec79b6b8dfa8431d8085b0b2e8a49447 |
| institution | Directory Open Access Journal |
| issn | 0332-7353 1890-1328 |
| language | English |
| last_indexed | 2024-12-19T01:21:05Z |
| publishDate | 2002-10-01 |
| publisher | Norwegian Society of Automatic Control |
| record_format | Article |
| series | Modeling, Identification and Control |
| spelling | doaj.art-ec79b6b8dfa8431d8085b0b2e8a494472022-12-21T20:42:26ZengNorwegian Society of Automatic ControlModeling, Identification and Control0332-73531890-13282002-10-0123423925810.4173/mic.2002.4.1Passivity Analysis of Nonlinear Euler-Bernoulli BeamsMehrdad P. FardThe Lagrangian equations for distributed-parameter systems based on Hamilton's principle are developed. These equations are subsequently used to derive nonlinear models for beams. The passivity properties of the flexible mechanical systems based on their distributed-parameter models are then investigated and direct output feedback control laws for control purposes are proposed. Finite gain L2 stability and passivity of closed-loop systems are proven. Illustrative cases with simulation of the nonlinear beams and stabilizing feedback control laws are included in the text.http://www.mic-journal.no/PDF/2002/MIC-2002-4-1.pdfVibration controldistributed parameter systems |
| spellingShingle | Mehrdad P. Fard Passivity Analysis of Nonlinear Euler-Bernoulli Beams Modeling, Identification and Control Vibration control distributed parameter systems |
| title | Passivity Analysis of Nonlinear Euler-Bernoulli Beams |
| title_full | Passivity Analysis of Nonlinear Euler-Bernoulli Beams |
| title_fullStr | Passivity Analysis of Nonlinear Euler-Bernoulli Beams |
| title_full_unstemmed | Passivity Analysis of Nonlinear Euler-Bernoulli Beams |
| title_short | Passivity Analysis of Nonlinear Euler-Bernoulli Beams |
| title_sort | passivity analysis of nonlinear euler bernoulli beams |
| topic | Vibration control distributed parameter systems |
| url | http://www.mic-journal.no/PDF/2002/MIC-2002-4-1.pdf |
| work_keys_str_mv | AT mehrdadpfard passivityanalysisofnonlineareulerbernoullibeams |