Published December 2014 | Version public
Book Section - Chapter

Dyadic perturbation observer framework for control of a class of nonlinear PDE/ODE systems

  • 1. ROR icon McGill University
  • 2. ROR icon University of Illinois Urbana-Champaign

Abstract

This paper presents the general theory of the dyadic perturbation observer framework as a generic method for controlling a class of nonlinear systems described by partial and/or ordinary differential equations. The method is particularly applicable to boundary control problems for systems described by partial differential equations. Conditions for closed-loop stability and robustness are derived using finite-gain L stability theory, and the results are further specialized for finite dimensional systems.

Additional Information

© 2014 IEEE. Date Added to IEEE Xplore: 12 February 2015. This research was supported by NSF (IIS-1253758) and ARO (W911NF-10-1-0296). We gratefully acknowledge the inspiration and the encouragement from Prof. Miroslav Krstic. We thank the anonymous reviewers for the meticulous and thorough comments which helped improve the paper to its current form.

Additional details

Identifiers

Eprint ID
72980
Resolver ID
CaltechAUTHORS:20161220-110956591

Funding

NSF
IIS-1253758
Army Research Office (ARO)
W911NF-10-1-0296

Dates

Created
2016-12-20
Created from EPrint's datestamp field
Updated
2021-11-11
Created from EPrint's last_modified field

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