Title
Extending the Best Linear Approximation Framework to the Process Noise Case.
Abstract
The Best Linear Approximation (BLA) framework has already proven to be a valuable tool to analyze nonlinear systems and to start the nonlinear modeling process. The existing BLA framework is limited to systems with additive (colored) noise at the output. Such a noise framework is a simplified representation of reality. Process noise can play an important role in many real-life applications. This paper generalizes the Best Linear Approximation framework to account also for the process noise, both for the open-loop and the closed-loop setting, and shows that the most important properties of the existing BLA framework remain valid. The impact of the process noise contributions on the robust BLA estimation method is also analyzed.
Year
DOI
Venue
2018
10.1109/tac.2019.2923038
IEEE Transactions on Automatic Control
Field
DocType
Volume
Linear approximation,Colored,Mathematical optimization,Nonlinear system,Process noise,Mathematics
Journal
abs/1804.07510
Citations 
PageRank 
References 
1
0.35
0
Authors
4
Name
Order
Citations
PageRank
Maarten Schoukens18113.10
Rik Pintelon21011163.45
Tadeusz P. Dobrowiecki3375.51
Johan Schoukens442173.70