Title | ||
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Nonlinear Stability And Post-Critical Analysis Of An Uncertain Plant With Describing Functions And Integral Quadratic Constraints |
Abstract | ||
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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 mu 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. |
Year | Venue | Field |
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2017 | 2017 IEEE 56TH ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC) | Describing function,Nonlinear system,Linear system,Computer science,Control theory,Quadratic equation,Robustness (computer science),Exponential stability,Parametric statistics,Airfoil |
DocType | ISSN | Citations |
Conference | 0743-1546 | 0 |
PageRank | References | Authors |
0.34 | 0 | 3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Andrea Iannelli | 1 | 1 | 1.37 |
Andrés Marcos | 2 | 66 | 11.84 |
Mark H. Lowenberg | 3 | 7 | 3.63 |