Output Regulation of Systems Governed by Delay Differential Equations: Approximations and Robustness

This thesis considers the problem of robust geometric regulation for tracking and disturbance rejection of systems governed by delay differential equations. It is well known that geometric regulation can be highly sensitive to system parameters and hence such designs are not always robust. In particular, when employing numerical approximations to delay systems, the resulting finite dimensional models inherit natural approximation errors that can impact robustness. This demonstrates this lack of robustness and then addresses robustness by employing versions of robust regulation that have been developed for infinite dimensional systems. Numerical examples are given to illustrate the ideas and to test the robustness of the regulator.

Name thesis:degree_name

M.S.

Level thesis:degree_level

masters

Discipline thesis:degree_discipline

Mathematics

Department dc:contributor.department

Mathematics

Grantor dc:publisher

Virginia Tech

Year dc:date.issued

2020

Author dc:creator

• Paruchuri, Sai Tej

Chair dc:contributor.committeechair

• Burns, John A.

Committee members dc:contributor.committeemember

• Kurdila, Andrew J.
• Cliff, Eugene M.

• Distributed Parameter Control
• Regulation
• Tracking
• Disturbance Rejection
• Delay Differential Equations

Statement dc:rights

• Creative Commons Attribution 4.0 International

Licence dc:rights.uri

• http://creativecommons.org/licenses/by/4.0/

Language dc:language.iso

en_US

Handle dc:identifier.uri

http://hdl.handle.net/10919/98409

OAI identifier oai:identifier

oai:vtechworks.lib.vt.edu:10919/98409