Paper Info
Title
A Parametric Lti Interpolation For Minimum Phase Systems With Guaranteed Stability And Bounds
Abstract
A stability preserving interpolation method is proposed for parametric SISO LTI systems with a scalar parameter that also guarantees minimum phase property. The parametric SISO LTI system is sampled over a grid of parameter values and the interpolated system is calculated between these samples. The proposed method is based on the geometrical interpolation of the poles and the zeros. The poles and the zeros travel on a particular trajectory while the scalar parameter changes and the samples of these trajectories are known. As the real paths 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, minimum phase. Furthermore, it guarantees an upper bound on the deviation of the interpolated model from the known models in H-infinity, sense. An example of a natural frequency optimization problem is presented using the proposed method.
Year
Venue
Field
2018
2018 ANNUAL AMERICAN CONTROL CONFERENCE (ACC)
Applied mathematics,LTI system theory,Linear system,Pole–zero plot,Upper and lower bounds,Control theory,Computer science,Interpolation,Scalar (physics),Parametric statistics,Minimum phase
DocType
ISSN
Citations 
Conference
0743-1619
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
Istvan Gozse122.11
Alexandros Soumelidis2126.69