Non-overshooting control of strict-feedback nonlinear systems

Miroslav Krstic, Matt Bernent

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

7 Scopus citations

Abstract

Nonlinear systems have received little attention in conjunction with the problem of achieving a non-overshooting tracking response. This paper demonstrates a means of obtaining a non-overshooting tracking response for singleinput/single-output strict-feedback nonlinear systems. With the proposed method, arbitrary reference trajectories can be tracked "from below" for arbitrary initial conditions (as long as the initial value of the plant output is strictly below the initial value of the reference trajectory). In addition, a design is presented for "approximately" non-overshooting control in the presence of disturbances, where the amount of overshoot can be made arbitrarily small by appropriately choosing the control gains. Finally, an output-feedback example shows the ability of our approach to ensure arbitrarily small overshoot, where the overshoot is caused by the initial condition of the unmeasured part of the state.

Original languageEnglish
Title of host publicationProceedings of the 2007 American Control Conference, ACC
Pages4494-4499
Number of pages6
DOIs
StatePublished - 2007
Event2007 American Control Conference, ACC - New York, NY, United States
Duration: Jul 9 2007Jul 13 2007

Publication series

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

Conference

Conference2007 American Control Conference, ACC
Country/TerritoryUnited States
CityNew York, NY
Period07/9/0707/13/07

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