Title
A parametric LTI interpolation with guaranteed stability and bounds.
Abstract
A stability preserving interpolation method is proposed for parametric SISO LTI systems with a scalar parameter. The proposed method is based on the geometrical interpolation of the poles. The poles travel on a certain trajectory while the scalar parameter changes and samples of these trajectories are known. Since the real trajectories are unknown between samples artificial trajectories are proposed which are hyperbolic lines. As the main contribution, it is shown that the usage of hyperbolic lines guarantees stability furthermore guarantees an upper bound on the deviation of the interpolated model from the known models in H-infinity sense. The method is tested on a widely known benchmark example.
Year
DOI
Venue
2017
10.1109/MED.2017.7984208
Mediterranean Conference on Control and Automation
Field
DocType
ISSN
Linear system,Upper and lower bounds,Control theory,Scalar (physics),Interpolation,Parametric statistics,Mathematics,Trajectory
Conference
2325-369X
Citations 
PageRank 
References 
0
0.34
3
Authors
3
Name
Order
Citations
PageRank
Istvan Gozse122.11
Zoltán Szabó200.68
Alexandros Soumelidis3126.69