Nonlinear stability and post-critical analysis of an uncertain plant with Describing Functions and Integral Quadratic Constraints

Andrea Iannelli, Andres Marcos, Mark Lowenberg

Research output: Chapter in Book/Report/Conference proceedingConference Contribution (Conference Proceeding)

1 Citation (Scopus)
272 Downloads (Pure)

Abstract

Two approaches to tackle the nonlinear robust stability problem of a plant are considered. The first employs a combination of the Describing Function method and μ analysis, while the second makes use of Integral Quadratic Constraints (IQCs). The model analyzed consists of an open-loop wing's airfoil subject to freeplay and LTI parametric uncertainties.One of the main contributions of the work is to provide methodologies to quantitatively determine the post-critical behaviour of the system, known as Limit Cycle Oscillation (LCO). When the first approach is adopted, this is studied by means of a worst-case LCO curve, whose definition is given in the paper. The IQC framework, typically used to find asymptotic stability certificates, is applied to this scenario by introducing a restricted sector bound condition for the nonlinearity.
Original languageEnglish
Title of host publication2017 IEEE 56th Annual Conference on Decision and Control, CDC 2017
PublisherInstitute of Electrical and Electronics Engineers (IEEE)
Pages1828-1833
Number of pages6
Volume2018-January
ISBN (Electronic)9781509028733
ISBN (Print)9781509028740
DOIs
Publication statusPublished - 18 Jan 2018
Event56th IEEE Annual Conference on Decision and Control, CDC 2017 - Melbourne, Australia
Duration: 12 Dec 201715 Dec 2017

Conference

Conference56th IEEE Annual Conference on Decision and Control, CDC 2017
CountryAustralia
CityMelbourne
Period12/12/1715/12/17

Keywords

  • nonlinear uncertain systems
  • integral quadratic constraints (IQCs)
  • Robust stability

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