NONLINEAR FUNCTIONAL CHARACTERIZATIONS OF UNCERTAINTY IN MODEL VALIDATION
Roy Smith* Geir Dullerud**
* Electrical & Computer Engr. Dept., Univ. California, Santa Barbara, CA 93106 roy@ece.ucsb.edu
** Mechanical Engr. Dept., Univ. of Illinois, IL 61801, dullerud@uiuc.edu
Model validation provides a useful means of assessing the ability of a model to account for a specific experimental observation, and has application to modeling, identification and fault detection. In this paper we consider a new approach to the linear fractional transformation (LFT) model validation problem by deploying quadratic functionals, and more generally nonlinear functionals, to specify noise and dynamical perturbation sets. Sufficient conditions for invalidation of such models are provided in terms of semidefinite programming problems.
Keywords: Model validation, Nonlinear functionals, Semidefinite programming
Session slot T-Tu-A01: Input Design and Identification for Control/Area code 3a : Modelling, Identification and Signal Processing

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