Mixed parametric/non-parametric identification of systems with discontinuous nonlinearities

Authors:
Tyrone L. Vincent;Carlo Novara
Affiliations:
-;-
Venue:
Automatica (Journal of IFAC)
Year:
2013

Citing 9
Cited 0

Nonlinear black-box modeling in system identification: a unified overview

Automatica (Journal of IFAC) - Special issue on trends in system identification
Parameter identification of discontinuous Hammerstein systems

Automatica (Journal of IFAC)
Atomic Decomposition by Basis Pursuit

SIAM Review
Identification of Discontinuous Coefficients in Elliptic Problems Using Total Variation Regularization

SIAM Journal on Scientific Computing
Input design for structured nonlinear system identification

Automatica (Journal of IFAC)
Parametric identification of structured nonlinear systems

Automatica (Journal of IFAC)
On sparse representations in arbitrary redundant bases

IEEE Transactions on Information Theory
Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information

IEEE Transactions on Information Theory
Just relax: convex programming methods for identifying sparse signals in noise

IEEE Transactions on Information Theory

Quantified Score

Hi-index	22.14

Visualization

Abstract

The subject of this paper is identification of discrete time nonlinear dynamical systems when the system dynamics are defined by a discontinuous nonlinear function with the location of the discontinuity unknown. By representing the nonlinear function using both a parametric term to capture the continuous part and a non-parametric term to capture the discontinuous part, we present an identification algorithm along with conditions for recovery of the true nonlinearity.