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.
- Dynamic Systems and Control Division
Broadcast Feedback With Hysteresis Loop Control of Stochastically Behaving Cellular Units With Application to Cellular Shape Memory Alloy Actuators
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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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