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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Bibliographic Details
Published inInternational journal of control Vol. 69; no. 2; pp. 285 - 300
Main Authors Shi, Dong-Hua, Hou, S. H., Feng, De-Xing
Format Journal Article
LanguageEnglish
Published London Taylor & Francis Group 01.01.1998
Taylor & Francis
Subjects
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...)
Asymptotic stability
Boundary value problem
Vibration
Energy
Feedback
Stabilization
Non linear control
Elastic beam
Hybrid system
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Summary: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.
ISSN:0020-7179
1366-5820
DOI:10.1080/002071798222848