Controller for a high strain shape memory alloy actuator: quenching of limit cycles

TLDR: By allowing the upper switching level to be proportional to the velocity if it is possible to achieve a damped response, analogous to PD control for linear systems, effectively quenching the limit cycle.

Abstract: Further development of a three level switching controller (Grant and Hayward, 1995) is presented. The controller was originally designed to drive a novel shape memory alloy (SMA) actuator consisting of a number of thin NiTi fibers woven in a counter rotating helical pattern around supporting disks. While the original controller performed satisfactorily, it was hampered by the presence of limit cycles at higher gains. By allowing the upper switching level to be proportional to the velocity if is possible to achieve a damped response, analogous to PD control for linear systems, effectively quenching the limit cycle. With this damping, it is possible to decrease the rise time by almost half and maintain the same steady state accuracy.

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