Title
Robust self-tuning controller under outliers
Abstract
In this paper, we propose a robust self-tuning controller (STC) under outliers. A parameter update law of a conventional STC consists of a recursive least squares estimation, and the estimation is given by a solution of a minimization problem of estimated errors. In the proposed method, we estimate parameters and outliers explicitly by addition of a l1 regression term to the minimization problem like a robust Kalman filter via l1 regression, and the estimated outliers are removed from measurement outputs in the controller. We also analyze control performances of the proposed method under outliers, and it is shown theoretically that performances in the proposed method with outliers are nearly equal to ones in the conventional STC without outliers. A numerical simulation, in which a controlled plant is a non-minimum phase system, demonstrates effectiveness of the proposed method.
Year
DOI
Venue
2014
10.1109/CDC.2014.7039695
Decision and Control
Keywords
Field
DocType
adaptive control,least mean squares methods,minimisation,regression analysis,robust control,self-adjusting systems,minimization problem,nonminimum phase system,recursive least squares estimation,regression method,robust self-tuning controller
Control theory,Least trimmed squares,RANSAC,Computer science,Control theory,Outlier,Robust statistics,Robust regression,Kalman filter,Recursive least squares filter
Conference
ISSN
Citations 
PageRank 
0743-1546
0
0.34
References 
Authors
4
3
Name
Order
Citations
PageRank
Yasuaki Kaneda100.34
Yasuharu Irizuki200.34
Masaki Yamakita326657.24