Abstract | ||
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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 |
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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 Sznaier | 1 | 656 | 56.66 |
Constantino M. Lagoa | 2 | 164 | 25.38 |
Wenjing Ma | 3 | 27 | 4.39 |