Title
Nonlinear Stability And Post-Critical Analysis Of An Uncertain Plant With Describing Functions And Integral Quadratic Constraints
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 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
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 Iannelli111.37
Andrés Marcos26611.84
Mark H. Lowenberg373.63