A contraction approach to input tracking via high gain feedback
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2015cdc_hamadeh_sontag_delvecchio_final_submission_paper_1827.pdf
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226.35 KB
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Adobe PDF
Checksum (MD5)
3a4572e0a829767af28432ef1d388ca5
Author(s)
Hamadeh, Abdullah
Sontag, Eduardo D
Del Vecchio, Domitilla
Date Issued
December 2015
Journal
2015 54th IEEE Conference on Decision and Control (CDC)
Publisher
Institute of Electrical and Electronics Engineers (IEEE)
Citation
Hamadeh, Abdullah, Eduardo Sontag, and Domitilla Del Vecchio. “A Contraction Approach to Input Tracking via High Gain Feedback.” 2015 54th IEEE Conference on Decision and Control (CDC) (December 2015), Osaka, Japan, Institute of Electrical and Electronics Engineers (IEEE), 2015.
Version
Author's final manuscript
Abstract
This paper adopts a contraction approach to study exogenous input tracking in dynamical systems under high gain proportional output feedback. We give conditions under which contraction of a nonlinear system's tracking error implies input to output stability from the input signal's time derivatives to the tracking error. This result is then used to demonstrate that the negative feedback connection of plants composed of two strictly positive real subsystems in cascade can follow external inputs with tracking errors that can be made arbitrarily small by applying a sufficiently large feedback gain. We utilize this result to design a biomolecular feedback regulation scheme for a synthetic genetic sensor model, making it robust to variations in the availability of a cellular resource required for protein production.
MIT Department
Massachusetts Institute of Technology. Department of Mechanical Engineering
Massachusetts Institute of Technology. Laboratory for Information and Decision Systems
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Creative Commons Attribution-Noncommercial-Share Alike
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DOI of Published Version
https://doi.org/10.1109/CDC.2015.7403435
