Title
Finite-time estimation of multiple exponentially-damped sinusoidal signals: A kernel-based approach
Abstract
The problem of estimating the parameters of biased and exponentially-damped multi-sinusoidal signals is addressed in this paper by a finite-time identification scheme based on Volterra integral operators. These parameters are the amplitudes, frequencies, initial phase angles, damping factors and the offset. The proposed strategy entails the design of a new kind of kernel function that, compared to existing ones, allows for the identification of the initial conditions of the signal-generator system. The worst-case behavior of the proposed algorithm in the presence of bounded additive disturbances is fully characterized by Input-to-State Stability arguments. Numerical examples including the comparisons with some existing tools are reported to show the effectiveness of the proposed methodology.
Year
DOI
Venue
2019
10.1016/j.automatica.2019.04.016
Automatica
Field
DocType
Volume
Kernel (linear algebra),Applied mathematics,Identification scheme,Control theory,Operator (computer programming),Phase angle,Amplitude,Offset (computer science),Mathematics,Bounded function,Kernel (statistics)
Journal
106
Issue
ISSN
Citations 
1
0005-1098
0
PageRank 
References 
Authors
0.34
0
5
Name
Order
Citations
PageRank
Boli Chen1316.94
Peng Li202.03
Gilberto Pin313617.21
Giuseppe Fedele49715.53
T Parisini5935113.17