Stable control of distributed hysteretic systems using cellular broadcast stochastic feedback
Name
Wood-2009-Stable Control of Distributed Hysteretic Systems Using Cellular Broadcast Stochastic Feedback.pdf
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407.49 KB
Format
Adobe PDF
Checksum (MD5)
33831a2b7a739111f082d100161c4d40
Author(s)
Wood, Levi Benjamin
Asada, Harry
Date Issued
July 2009
Journal
American Control Conference, 2009
Publisher
Institute of Electrical and Electronics Engineers (IEEE)
Citation
Wood, Levi B., and H. Harry Asada. “Stable Control of Distributed Hysteretic Systems Using Cellular Broadcast Stochastic Feedback.” IEEE, 2009. 3519–3524. © Copyright 2009 AACC
Version
Final published version
Abstract
This work develops a provably stable broadcast feedback approach to regulating the aggregate output of a collection of stochastically behaving cellular units with pronounced hysteresis. Similar to skeletal muscle, comprised of a number of muscle fibers, the cellular units are independent and each contributes to an aggregate system output. The control architecture consists of a central controller that only observes the aggregate system output and cell-level controllers that manage cell state on the hysteresis loop. The central controller stochastically recruits cells to reduce expected squared error. Stability analysis based on supermartingale theory guarantees that the control framework is stable.
MIT Department
Massachusetts Institute of Technology. Department of Mechanical Engineering
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1109/ACC.2009.5160018
