A contraction approach to input tracking via high gain feedback
Author(s)Hamadeh, Abdullah; Sontag, Eduardo D; Del Vecchio, Domitilla
MetadataShow full item record
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.
DepartmentMassachusetts Institute of Technology. Department of Mechanical Engineering; Massachusetts Institute of Technology. Laboratory for Information and Decision Systems
2015 54th IEEE Conference on Decision and Control (CDC)
Institute of Electrical and Electronics Engineers (IEEE)
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.
Author's final manuscript