Prescribed-Time Stabilization of Controllable Planar Systems Using Switched State Feedback

Ramon I.Verdes Kairuz, Yury Orlov, Luis T. Aguilar

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

Abstract

A novel switched state feedback is proposed to stabilize a planar controllable system in prescribed time regardless of whichever uniformly bounded external disturbance affects the system. The approach is based on a successive application of time-varying linear feedback synthesis and twisting controller design. The underlying strategy is to utilize globally stabilizing non-autonomous linear feedback so that the system trajectories enter an arbitrarily small domain of attraction as fast as desired regardless of initial conditions and then switch to the twisting controller that settles the trajectories from the pre-specified attraction domain at the origin in prescribed time. Tuning rules to achieve the desired settling time are explicitly derived and illustrated in an experimental study of a simple pendulum to track a reference trajectory with periodic velocity jumps.

Original languageEnglish
Title of host publication2021 American Control Conference, ACC 2021
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages2163-2168
Number of pages6
ISBN (Electronic)9781665441971
DOIs
StatePublished - 25 May 2021
Event2021 American Control Conference, ACC 2021 - Virtual, New Orleans, United States
Duration: 25 May 202128 May 2021

Publication series

NameProceedings of the American Control Conference
Volume2021-May
ISSN (Print)0743-1619

Conference

Conference2021 American Control Conference, ACC 2021
Country/TerritoryUnited States
CityVirtual, New Orleans
Period25/05/2128/05/21

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