Title
Risk adjusted identification of a class of nonlinear systems
Abstract
This paper addresses the problem of identification of a class of nonlinear systems from a set-membership standpoint. Specifically we consider structures consisting of the interconnection of a linear time invariant plant and a sector bound static nonlinearity. This structure includes as special cases, Hammerstein, Wiener and Hammerstein-Wiener systems. Our main result shows that, by pursuing a risk-adjusted approach, the problem can be reduced to a convex LMI optimization form that can be efficiently solved. In addition we provide a convergence analysis that points to an intrinsic limitation of any interpolatory algorithm. These results are illustrated with a simple example.
Year
DOI
Venue
2007
10.1109/CDC.2007.4434532
CDC
Keywords
Field
DocType
control system analysis,identification,linear matrix inequalities,linear systems,nonlinear control systems,convergence analysis,convex lmi optimization form,interpolatory algorithm,linear time invariant plant,nonlinear systems,risk adjusted identification,sector bound static nonlinearity,linear time invariant,nonlinear system
Convergence (routing),LTI system theory,Mathematical optimization,Nonlinear system,Linear system,Control theory,Computer science,Nonlinear system identification,Regular polygon,Interconnection
Conference
ISSN
ISBN
Citations 
0191-2216 E-ISBN : 978-1-4244-1498-7
978-1-4244-1498-7
1
PageRank 
References 
Authors
0.36
15
3
Name
Order
Citations
PageRank
Mario Sznaier165656.66
Constantino M. Lagoa216425.38
Wenjing Ma3274.39