The sliding mode technique is used to control the deformation of a membrane mirror strip. A membrane mirror strip is augmented with two macro fiber composite (MFC) bimorphs. The first bimorph is actuated in bending whereas the second is actuated in tension. Membrane strips are usually tensioned uniformly. However, the presence of the tension bimorphs induces a local tension at its location. The membrane strip is modeled as an Euler-Bernoulli beam under tensile load, whereas the MFCs are modeled as monolithic piezoceramics. To cast the system into a finite dimensional state space form, the finite elements method (FEM) is used. The control action is switched when the membrane strip approaches its original undeformed shape. Simulation results demonstrate the effectiveness of the proposed control law.
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ASME 2007 International Mechanical Engineering Congress and Exposition
November 11–15, 2007
Seattle, Washington, USA
Conference Sponsors:
- ASME
ISBN:
0-7918-4304-1
PROCEEDINGS PAPER
Sliding Mode Control for a Membrane Mirror Strip Actuated Using Multiple Smart Actuators
Jamil M. Renno,
Jamil M. Renno
Virginia Polytechnic Institute and State University, Blacksburg, VA
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C. Konda Reddy,
C. Konda Reddy
Virginia Polytechnic Institute and State University, Blacksburg, VA
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Daniel J. Inman,
Daniel J. Inman
Virginia Polytechnic Institute and State University, Blacksburg, VA
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Eric J. Ruggiero
Eric J. Ruggiero
GE Global Research Center, Niskayuna, NY
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Jamil M. Renno
Virginia Polytechnic Institute and State University, Blacksburg, VA
C. Konda Reddy
Virginia Polytechnic Institute and State University, Blacksburg, VA
Daniel J. Inman
Virginia Polytechnic Institute and State University, Blacksburg, VA
Eric J. Ruggiero
GE Global Research Center, Niskayuna, NY
Paper No:
IMECE2007-41016, pp. 21-29; 9 pages
Published Online:
May 22, 2009
Citation
Renno, JM, Reddy, CK, Inman, DJ, & Ruggiero, EJ. "Sliding Mode Control for a Membrane Mirror Strip Actuated Using Multiple Smart Actuators." Proceedings of the ASME 2007 International Mechanical Engineering Congress and Exposition. Volume 10: Mechanics of Solids and Structures, Parts A and B. Seattle, Washington, USA. November 11–15, 2007. pp. 21-29. ASME. https://doi.org/10.1115/IMECE2007-41016
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