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

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

Original languageEnglish
Title of host publication2017 IEEE 56th Annual Conference on Decision and Control, CDC 2017
Publisher or commissioning bodyInstitute of Electrical and Electronics Engineers (IEEE)
Number of pages6
ISBN (Electronic)9781509028733
ISBN (Print)9781509028740
DateAccepted/In press - 14 Jul 2017
DateE-pub ahead of print - 18 Jan 2018
DatePublished (current) - 18 Jan 2018
Event56th IEEE Annual Conference on Decision and Control, CDC 2017 - Melbourne, Australia
Duration: 12 Dec 201715 Dec 2017


Conference56th IEEE Annual Conference on Decision and Control, CDC 2017


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.

    Research areas

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


56th IEEE Annual Conference on Decision and Control, CDC 2017

Duration12 Dec 201715 Dec 2017
SponsorsANCA Motion (External organisation), City of Melbourne (External organisation), MathWorks (External organisation), University of Melbourne (External organisation), The University of Newcastle (External organisation), United Technologies Research Center (UTRC) (External organisation)

Event: Conference

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  • Full-text PDF (accepted author manuscript)

    Rights statement: This is the author accepted manuscript (AAM). The final published version (version of record) is available online via IEEE at . Please refer to any applicable terms of use of the publisher.

    Accepted author manuscript, 356 KB, PDF document


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