Bounded integral control for regulating input-to-state stable non-linear systems

George C. Konstantopoulos, Qing Chang Zhong, Beibei Ren, Miroslav Krstic

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

5 Scopus citations


In this paper, a bounded integral controller (BIC) is proposed for regulating non-linear systems with guaranteed closed-loop system stability. It is proven that the BIC generates a bounded control output independently from the plant parameters and states and guarantees closed-loop system stability in the sense of boundedness with the only knowledge of the input-to-state (practical) stability (ISpS) of the plant. Furthermore, an analytic selection of the BIC parameters is presented to guarantee a given bound for the control output, suitably extending the BIC application to locally ISpS plant systems as well. Its performance is investigated using non-linear Lyapunov methods and it is proven that it can approximate the behavior of the traditional integral controller (IC) near steady state. Simulation results of a locally ISS system are provided to compare the BIC with the IC operation under a given bound of the control output.

Original languageEnglish
Title of host publicationACC 2015 - 2015 American Control Conference
PublisherInstitute of Electrical and Electronics Engineers Inc.
Number of pages6
ISBN (Electronic)9781479986842
StatePublished - Jul 28 2015
Event2015 American Control Conference, ACC 2015 - Chicago, United States
Duration: Jul 1 2015Jul 3 2015

Publication series

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


Conference2015 American Control Conference, ACC 2015
Country/TerritoryUnited States


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