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Backstepping Control of an SMA-Actuated Manipulator

[+] Author Affiliations
Mohammad H. Elahinia

University of Toledo

Jeong-Hoi Koo, Craig Woolsey, Mehdi Ahmadian

Virginia Polytechnic Institute and State University

Paper No. IMECE2004-60009, pp. 45-54; 10 pages
  • ASME 2004 International Mechanical Engineering Congress and Exposition
  • Dynamic Systems and Control, Parts A and B
  • Anaheim, California, USA, November 13 – 19, 2004
  • Conference Sponsors: Dynamic Systems and Control Division
  • ISBN: 0-7918-4706-3 | eISBN: 0-7918-4178-2, 0-7918-4179-0, 0-7918-4180-4
  • Copyright © 2004 by ASME


In this paper a nonlinear model-based controller is designed to globally asymptotically stabilize a single-degree-of-freedom shape memory alloy (SMA) actuated manipulator. A three part model was constructed based on the dynamics/kinematics of the arm, the thermomechanical behavior of SMA’s, and an assumed heat transfer model consisting of electrical heating and natural convection. The backstepping control is used to calculate the applied voltage to the SMA wire. Initially, the SMA’s wire stress is assumed to be the control input of the system. The stress is then chosen to asymptotically stabilize the desired position. The applied voltage to the SMA wire is the actual control input. This voltage is calculated based on the desired stress and the SMA’s thermomechanical and heat transfer models. It is shown that the calculated voltage can globally asymptotically stabilize the system. Numerical simulations are performed to investigate stabilizing performance as well as other issues such as robustness. The results demonstrate that the backstepping controller designs is highly accurate in stabilization.

Copyright © 2004 by ASME
Topics: Manipulators



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