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Smart Structures and Systems Volume 1, Number 3, September 2005 , pages 283-308 DOI: https://doi.org/10.12989/sss.2005.1.3.283 |
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Modeling and fast output sampling feedback control of a smart Timoshenko cantilever beam |
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T. C. Manjunath and B. Bandyopadhyay
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| Abstract | ||
| This paper features about the modeling and design of a fast output sampling feedback controller for a smart Timoshenko beam system for a SISO case by considering the first 3 vibratory modes. The beam structure is modeled in state space form using FEM technique and the Timoshenko beam theory by dividing the beam into 4 finite elements and placing the piezoelectric sensor/actuator at one location as a collocated pair, i.e., as surface mounted sensor/actuator, say, at FE position 2. State space models are developed for various aspect ratios by considering the shear effects and the axial displacements. The effects of changing the aspect ratio on the master structure is observed and the performance of the designed FOS controller on the beam system is evaluated for vibration control. | ||
| Key Words | ||
| : smart structure; Timoshenko beam; fast output sampling feedback control; finite element method; state space model; vibration control; aspect ratio; LMI. | ||
| Address | ||
| T. C. Manjunath; Interdisciplinary Programme in Systems and Control Engineering, Indian Institute of Technology Bombay, 101B, ACRE Building, Mumbai-400076, Maharashtra, India B. Bandyopadhyay; Systems and Control Engineering, I.I.T. Bombay, Powai, Mumbai-76, India | ||