Constrained Spectrum Control

Author

Hours, Jean-Hubert ; Zeilinger, Melanie N. ; Gondhalekar, Ravi ; Jones, Colin N.

Author_Institution

Lab. d´Autom., Ecole Polytech. Fed. de Lausanne, Lausanne, Switzerland

Volume

60

Issue

7

fYear

2015

fDate

Jul-15

Firstpage

1969

Lastpage

1974

Abstract

A novel Nonlinear Model Predictive Control (NMPC) scheme is proposed in order to shape the harmonic response of constrained nonlinear systems. The salient ingredient is the short-time Fourier transform (STFT) of the system´s output signal, which is constrained in an NMPC problem, leading to the novel formulation of so-called spectrum constraints. Recursive feasibility and asymptotic stability of the proposed NMPC scheme with such spectrum constraints are guaranteed by means of an appropriate ellipsoidal terminal invariant set. The efficacy of the proposed approach is demonstrated on a nonlinear vibration damping problem.

Keywords

Fourier transforms; asymptotic stability; damping; nonlinear control systems; predictive control; vibrations; NMPC scheme; STFT; asymptotic stability; constrained nonlinear system harmonic response; constrained spectrum control; ellipsoidal terminal invariant set; nonlinear model predictive control; nonlinear vibration damping problem; short-time Fourier transform; spectrum constraints; Damping; Frequency control; Harmonic analysis; Nonlinear dynamical systems; Spectrogram; Standards; Nonlinear Model Predictive Control; Nonlinear model predictive control; Short-time Fourier Transform; Spectrum Constraints; short-time Fourier transform; spectrum constraints;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.2014.2364531

Filename

6935077