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A Combined Modal-Wave Based Control of Membranes Using Irrational Transfer Functions

[+] Author Affiliations
Lea Sirota, Yoram Halevi

Technion-Israel Institute of Technology, Haifa, Israel

Paper No. SMASIS2014-7628, pp. V001T03A029; 8 pages
  • ASME 2014 Conference on Smart Materials, Adaptive Structures and Intelligent Systems
  • Volume 1: Development and Characterization of Multifunctional Materials; Modeling, Simulation and Control of Adaptive Systems; Structural Health Monitoring; Keynote Presentation
  • Newport, Rhode Island, USA, September 8–10, 2014
  • Conference Sponsors: Aerospace Division
  • ISBN: 978-0-7918-4614-8
  • Copyright © 2014 by ASME


This paper considers the development of closed loop regulation algorithm for membranes, based on the traveling wave approach. The membrane is modeled by a combination of modal decomposition in one spatial axis and transfer functions in the other. The transfer functions are irrational and are shown to represent the wave motion in the system. A dedicated closed loop control algorithm is designed to eliminate the wave reflections in the control axis, achieving by this attenuation of external disturbances. The resulting controllers are irrational as well, and approximations are used to implement them.

Copyright © 2014 by ASME



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