Non trivial effect of strong high-frequency excitation on a nonlinear controlled system

A. Fidlin, Jon Juel Thomsen

Research output: Chapter in Book/Report/Conference proceedingArticle in proceedingsResearchpeer-review

Abstract

Nontrivial effects of high-frequency excitation on mechanical uncontrolled systems have been investigated intensively in the last decade. Some of these effects are usually used in controlled systems in form of dither to smoothen out undesired friction and hysteresis. However the level of damping due to control is usually high compared to uncontrolled systems. A standard optimal controller for a standard nonlinear system (a movable cart used to balance a pendulum vertically) is shown to exhibit pronounced bias error in presence of HF-excitation. The bias increases with increased excitation intensity, but it also increases with the increased control power. Analytic prediction for the bias shows, the interaction between fast excitation and strong damping terms in the control system to be the cause of the permanent control error. A "slow observer" ignoring fast motions is shown to be the simplest way to avoid the undesired bias in the considered particular system.
Original languageEnglish
Title of host publicationXXI Int. Congress of Theoretical and Applied Mechanics
Number of pages2
Place of PublicationWarsaw
PublisherIPPT PAN
Publication date2004
Publication statusPublished - 2004
Event21st International Congress of Theoretical and Applied Mechanics - Warsaw, Poland
Duration: 15 Aug 200421 Aug 2004
Conference number: 21
http://ictam04.ippt.gov.pl/

Conference

Conference21st International Congress of Theoretical and Applied Mechanics
Number21
Country/TerritoryPoland
CityWarsaw
Period15/08/200421/08/2004
Internet address

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