Time-scale separation based design of biomolecular feedback controllers
Name
ted_cdc_submitted_31419.pdf
Description
Accepted version
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325.79 KB
Format
Adobe PDF
Checksum (MD5)
ecbbff067c8425c9114b1bcf3a2e282b
Author(s)
Grunberg, Theodore W.
Del Vecchio, Domitilla
Date Issued
December 2019
Journal
Proceedings of the IEEE Conference on Decision and Control
Publisher
IEEE
Citation
Grunberg, Theodore W. and Del Vecchio, Domitilla. 2019. "Time-scale separation based design of biomolecular feedback controllers." Proceedings of the IEEE Conference on Decision and Control, 2019-December.
Version
Author's final manuscript
Abstract
© 2019 IEEE. Time-scale separation is a powerful property that can be used to simplify control systems design. In this work, we consider the problem of designing biomolecular feedback controllers that provide tracking of slowly varying references and rejection of slowly varying disturbances for nonlinear systems. We propose a design methodology that uses timescale separation to accommodate physical constraints on the implementation of integral control in cellular systems. The main result of this paper gives sufficient conditions under which controllers designed using our time-scale separation methodology have desired asymptotic performance when the reference and disturbance are constant or slowly varying. Our analysis is based on construction of Lyapunov functions for a class of singularly perturbed systems that are dependent on an additional parameter that perturbs the system regularly. When the exogenous inputs are slowly varying, this approach allows us to bound the system trajectories by a function of the regularly perturbing parameter. This bound decays to zero as the parameter's value increases, while an inner-estimate of the region of attraction stays unchanged as this parameter is varied. These results cannot be derived using standard singular perturbation results. We apply our results to an application demonstrating a physically realizable parameter tuning that controls performance.
MIT Department
Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
Massachusetts Institute of Technology. Department of Mechanical Engineering
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Creative Commons Attribution-Noncommercial-Share Alike
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DOI of Published Version
https://doi.org/10.1109/cdc40024.2019.9029355
