Feedback stabilization of a Timoshenko beam with an end mass
The boundary feedback control problem of a Timoshenko beam with an end mass is studied in this paper. First, under some nonlinear boundary feedback controls, the asymptotic stability for the corresponding closed-loop system is shown. Then, with the energy-perturbed approach, it is proved, under some...
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| Published in | International journal of control Vol. 69; no. 2; pp. 285 - 300 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
London
Taylor & Francis Group
01.01.1998
Taylor & Francis |
| Subjects | |
| Online Access | Get full text |
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| Abstract | The boundary feedback control problem of a Timoshenko beam with an end mass is studied in this paper. First, under some nonlinear boundary feedback controls, the asymptotic stability for the corresponding closed-loop system is shown. Then, with the energy-perturbed approach, it is proved, under some specific linear feedback controls applied to the tip, that the vibration of the beam decays uniformly; finally, in the case when feedback controls are applied to both the beam ends, the uniform decay is also established. |
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| AbstractList | The boundary feedback control problem of a Timoshenko beam with an end mass is studied in this paper. First, under some nonlinear boundary feedback controls, the asymptotic stability for the corresponding closed-loop system is shown. Then, with the energy-perturbed approach, it is proved, under some specific linear feedback controls applied to the tip, that the vibration of the beam decays uniformly; finally, in the case when feedback controls are applied to both the beam ends, the uniform decay is also established. |
| Author | Hou, S. H. Shi, Dong-Hua Feng, De-Xing |
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| Keywords | Asymptotic stability Boundary value problem Vibration Energy Feedback Stabilization Non linear control Elastic beam Hybrid system |
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| SubjectTerms | Applied sciences Computer science; control theory; systems Control system synthesis Control theory. Systems Exact sciences and technology Fundamental areas of phenomenology (including applications) Physics Solid mechanics Structural and continuum mechanics Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...) |
| Title | Feedback stabilization of a Timoshenko beam with an end mass |
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