A Cascading Method for Reducing Asymptotic Errors in Feedback Control of Nonlinear Distributed Parameter Systems

E. Aulisa, J. A. Burns, D. S. Gilliam

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

This paper presents an error feedback controller for approximate tracking and disturbance rejection for nonlinear distributed parameter systems. The controller is error feedback because the only information available to the controller is the error given as the difference between the reference signal to be tracked and the measured output of the plant. In particular, the controller cannot directly access the output data. Also, the unknown disturbance corrupting the plant is unavailable to the controller. The controller is "approximate"in the sense it only guarantees a small tracking error rather than an asymptotic zero tracking error. However, the asymptotic tracking error can be reduced by solving a sequence of controllers, similar to cascade controllers, where the error at one level becomes the target to track at the next level. At each step, the error is reduced geometrically, so achieving the desired tracking level seldom requires more than one or two iterations. We present a numerical example to demonstrate the utility of the method.

Original languageEnglish
Title of host publication2023 American Control Conference, ACC 2023
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages330-335
Number of pages6
ISBN (Electronic)9798350328066
DOIs
StatePublished - 2023
Event2023 American Control Conference, ACC 2023 - San Diego, United States
Duration: May 31 2023Jun 2 2023

Publication series

NameProceedings of the American Control Conference
Volume2023-May
ISSN (Print)0743-1619

Conference

Conference2023 American Control Conference, ACC 2023
Country/TerritoryUnited States
CitySan Diego
Period05/31/2306/2/23

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