H∞ Loop Shaping Controller for Shape Memory Alloy Actuators

This 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...

Full description

Saved in:
Bibliographic Details
Published inProceedings of the 44th IEEE Conference on Decision and Control pp. 653 - 658
Main Authors Jayender, J., Patel, R.V., Nikumb, S., Ostojic, M.
Format Conference Proceeding
LanguageEnglish
Published IEEE 2005
Subjects
Actuators
Cooling
Equations
Fermi-Dirac principle
Heating
Physics
Robust control
robust loop-shaping H-infinity controller
Shape control
Shape Memory Alloy
Shape memory alloys
Strain control
Temperature distribution
Online AccessGet full text

Cover

More Information
Summary:This 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.
ISBN:9780780395671
0780395670
ISSN:0191-2216
DOI:10.1109/CDC.2005.1582230