Finite-time estimation of multiple exponentially-damped sinusoidal signals: A kernel-based approach. (August 2019)

• Record Type: Journal Article
• Authors: Chen, Boli; Li, Peng; Pin, Gilberto; Fedele, Giuseppe; Parisini, Thomas
• Is Part Of: Automatica. Volume 106(2019)
• Page Start: 1
• Page End: 7
• Publication Date: 2019-08
• Subjects: Automatic control -- Periodicals; Automation -- Periodicals; 629.805
• DOI: 10.1016/j.automatica.2019.04.016
• Languages: English
• ISSNs: 0005-1098

Abstract

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.