6533b81ffe1ef96bd127739e

RESEARCH PRODUCT

Approximation of the Feasible Parameter Set in worst-case identification of Hammerstein models

Giovanni ZappaP. FalugiLaura Giarre

subject

Mathematical optimizationEstimation theorySystem identificationIdentification (control systems)PolytopeLinear subspaceInterval arithmeticSettore ING-INF/04 - AutomaticaControl and Systems EngineeringBounding overwatchConvex optimizationNonlinear systemsApplied mathematicsElectrical and Electronic EngineeringProjection (set theory)static nonlinearityMathematics

description

The estimation of the Feasible Parameter Set (FPS) for Hammerstein models in a worst-case setting is considered. A bounding procedure is determined both for polytopic and ellipsoidic uncertainties. It consists in the projection of the FPS of the extended parameter vector onto suitable subspaces and in the solution of convex optimization problems which provide Uncertainties Intervals of the model parameters. The bounds obtained are tighter than in the previous approaches. hes.

10.1016/j.automatica.2004.12.010http://hdl.handle.net/10447/29996