H∞ loop shaping controller for shape memory alloy actuators

DOIResolve DOI: http://doi.org/10.1109/CDC.2005.1582230
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Proceedings titleProceedings of the 44th IEEE Conference on Decision and Control and European Control Conference
ConferenceCDC-ECC '05, December 12th to 15th 2005, Seville Spain
Pages653658; # of pages: 6
Subjectshape memory alloy; Fermi-Dirac principle; robust loop-shaping H-infinity controller
AbstractThis paper describes a Robust H∞Controller for a Shape Memory Alloy actuator. A formulation based on concepts from physics, has been used to model the Shape Memory Alloy (SMA). The modelling equations include Joules heating - convectional cooling to explain the dynamics of temperature, Fermi-Dirac statistics to explain the variation of mole fraction with temperature, and a stress-strain constitutive equation to relate changes in mole fraction and temperature to changes in stress and strain of the SMA. An H∞loop shaping controller using normalized coprime stabilization is designed such that the gains are high when the model describes the SMA accurately and low at higher frequencies when the model is inaccurate. Simulation and experimental results show fast and accurate control of the strain in the SMA actuator.
Publication date
AffiliationNRC Industrial Materials Institute; National Research Council Canada
Peer reviewedYes
NPARC number21272518
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Record identifier73d61e46-bc49-48b5-8c35-7164caaf7dcd
Record created2014-12-01
Record modified2016-05-09
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