Title
Kernel-based identification of non-causal systems with application to inverse model control
Abstract
Models of inverse systems are commonly encountered in control, e.g., feedforward. The aim of this paper is to address several aspects in identification of inverse models, including model order selection and dealing with unstable inverse systems that originate from inverting non-minimum phase dynamics. A kernel-based regularization framework is developed for identification of non-causal systems. It is shown that ‘unstable’ models can be viewed as bounded, but non-causal, operators. As the main contribution, a range of the required kernels for non-causal systems is developed, including non-causal stable spline kernels. Benefits of the approach are confirmed in an example, including non-causal feedforward control for non-minimum phase systems.
Year
DOI
Venue
2020
10.1016/j.automatica.2020.108830
Automatica
Keywords
Field
DocType
Kernel-based regularization,System identification,Reproducing kernel Hilbert space,Non-causal systems,Feedforward control
Kernel (linear algebra),Spline (mathematics),Inverse,Mathematical optimization,Regularization (mathematics),Operator (computer programming),Causal system,Mathematics,Feed forward,Bounded function
Journal
Volume
Issue
ISSN
114
1
0005-1098
Citations 
PageRank 
References 
0
0.34
0
Authors
2
Name
Order
Citations
PageRank
Lennart Blanken100.34
Oomen, T.29517.42