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Efficient a-posteriori error estimation for nonlinear kernel-based reduced systems

, and . Systems and Control Letters 61 (1): 203 - 211 (2012)

Abstract

In this paper, we consider the topic of model reduction for nonlinear dynamical systems based on kernel expansions. Our approach allows for a full offline/online decomposition and efficient online computation of the reduced model. In particular, we derive an a-posteriori state-space error estimator for the reduction error. A key ingredient is a local Lipschitz constant estimation that enables rigorous a-posteriori error estimation. The computation of the error estimator is realized by solving an auxiliary differential equation during online simulations. Estimation iterations can be performed that allow a balancing between estimation sharpness and computation time. Numerical experiments demonstrate the estimation improvement over different estimator versions and the rigor and effectiveness of the error bounds.

Links and resources

DOI:
10.1016/j.sysconle.2011.10.012
URL:
BibTeX key:
wirtz2012efficient
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