This work develops a probability broadcast feedback controller for an ensemble of stochastically behaving cellular units exhibiting hysteresis. Previous work has developed asymptotically stable control laws for ideal on-off cellular units without any hysteresis or time lag. This work extends previous results by developing an asymptotically stable control law for an ensemble of cells that experience an arbitrary refractory period after a change in output, during which time the cell output is fixed. This refractory period describes the behavior of hysteretic cells such as shape memory alloy (SMA) actuators or biological cell migration. Conditions for stability are obtained using a stochastic Lyapunov function. Simulation of SMA actuators demonstrates the application of the new control law to practical hysteresis loops.
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ASME 2008 Dynamic Systems and Control Conference
October 20–22, 2008
Ann Arbor, Michigan, USA
Conference Sponsors:
- Dynamic Systems and Control Division
ISBN:
978-0-7918-4335-2
PROCEEDINGS PAPER
Broadcast Feedback With Hysteresis Loop Control of Stochastically Behaving Cellular Units With Application to Cellular Shape Memory Alloy Actuators
Levi Wood
,
Levi Wood
Massachusetts Institute of Technology, Cambridge, MA
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Jun Ueda
,
Jun Ueda
Massachusetts Institute of Technology, Cambridge, MA
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H. Harry Asada
H. Harry Asada
Massachusetts Institute of Technology, Cambridge, MA
Search for other works by this author on:
Levi Wood
Massachusetts Institute of Technology, Cambridge, MA
Jun Ueda
Massachusetts Institute of Technology, Cambridge, MA
H. Harry Asada
Massachusetts Institute of Technology, Cambridge, MA
Paper No:
DSCC2008-2161, pp. 425-432; 8 pages
Published Online:
June 29, 2009
Citation
Wood, L, Ueda, J, & Asada, HH. "Broadcast Feedback With Hysteresis Loop Control of Stochastically Behaving Cellular Units With Application to Cellular Shape Memory Alloy Actuators." Proceedings of the ASME 2008 Dynamic Systems and Control Conference. ASME 2008 Dynamic Systems and Control Conference, Parts A and B. Ann Arbor, Michigan, USA. October 20–22, 2008. pp. 425-432. ASME. https://doi.org/10.1115/DSCC2008-2161
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