Title
Semi-Parametric Kernel-Based Identification Of Wiener Systems
Abstract
We present a technique for kernel-based identification of Wiener systems. We model the impulse response of the linear block with a Gaussian process. The static nonlinearity is modeled with a combination of basis functions. The coefficients of the static nonlinearity are estimated, together with the hyperparameters of the covariance function of the Gaussian process model, using an iterative algorithm based on the expectation-maximization method combined with elliptical slice sampling to sample from the posterior distribution of the impulse response given the data. The same sampling method is then used to find the posterior-mean estimate of the impulse response. We test the proposed algorithm on a benchmark of randomly-generated Wiener systems.
Year
DOI
Venue
2018
10.1109/CDC.2018.8619482
2018 IEEE CONFERENCE ON DECISION AND CONTROL (CDC)
Field
DocType
ISSN
Kernel (linear algebra),Slice sampling,Impulse response,Applied mathematics,Covariance function,Computer science,Control theory,Iterative method,Basis function,Gaussian process,Sampling (statistics)
Conference
0743-1546
Citations 
PageRank 
References 
0
0.34
0
Authors
3
Name
Order
Citations
PageRank
Riccardo Sven Risuleo1114.72
Fredrik Lindsten216821.08
Håkan Hjalmarsson31254175.16