A generalized scaling based control design for nonlinear nontriangular systems with input and state time delays

P. Krishnamurthy, F. Khorrami

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

A general class of nonlinear systems containing delays in both state and input is considered and a dynamic high-gain scaling based control design is proposed. The class of systems considered is of a general structure which is not necessarily of any triangular form. All functions appearing in the system dynamics are allowed to be uncertain as long as some polynomial bounds on ratios of uncertain system terms are available. Both state and input delays are allowed to be time-varying and uncertain. The control design is based on our recent results on generalized scaling utilizing appropriate (not necessarily successive) powers of the scaling parameter. The control implementation does not require knowledge of the time delays or any magnitude bounds thereof; the only information about the time delays that is required is a bound on the rate of variation of time delays.

Original languageEnglish (US)
Title of host publicationProceedings of the 2011 American Control Conference, ACC 2011
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages4361-4366
Number of pages6
ISBN (Print)9781457700804
DOIs
StatePublished - Jan 1 2011

Publication series

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

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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    Krishnamurthy, P., & Khorrami, F. (2011). A generalized scaling based control design for nonlinear nontriangular systems with input and state time delays. In Proceedings of the 2011 American Control Conference, ACC 2011 (pp. 4361-4366). [5990969] (Proceedings of the American Control Conference). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/acc.2011.5990969