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Recovering Wiener-Hammerstein nonlinear state-space models using linear algebra

Book Contribution - Book Chapter Conference Contribution

This paper considers Wiener-Hammerstein systems consisting of a cascade of a linear dynamical system, a static nonlinearity and another linear dynamical system. We start from a black-box nonlinear state-space description of the system and develop a method to reconstruct the parameters of the underlying Wiener-Hammerstein block structure by means of linear algebra operations. First, the static nonlinearity is retrieved by decoupling the nonlinear part of the state-space equations into a single-branch nonlinear function. From there on, a canonical Wiener-Hammerstein nonlinear state-space model is recovered by using linear algebraic and geometric tools. The method is validated on a simulation example.
Book: 17th IFAC Symposium on System Identification (SYSID 2015), Beijing, China, October 19-21, 2015
Series: IFAC-PapersOnline
Pages: 951-956
Publication year:2015
Keywords:block-oriented system identification, nonlinear system identification, state-space models, Wiener-Hammerstein systems
Accessibility:Open