Title :
Nonlinear system identification using Hammerstein and nonlinear feedback models with piecewise linear static maps. 1. Theory
Author :
Van Pelt, Tobin H. ; Bernstein, Dennis S.
Author_Institution :
Dept. of Aerosp. Eng., Michigan Univ., Ann Arbor, MI, USA
Abstract :
We consider nonlinear identification using a Hammerstein/nonlinear feedback model with piecewise linear static maps. Our method uses a point-slope parameterization of the static nonlinearity that leads to a computationally tractable optimization problem. The identification method simultaneously approximates the linear dynamic and static nonlinear blocks of the model
Keywords :
feedback; identification; matrix algebra; nonlinear systems; optimisation; piecewise linear techniques; Hammerstein models; computationally tractable optimization problem; linear dynamic blocks; nonlinear feedback models; nonlinear system identification; piecewise linear static maps; point-slope parameterization; static nonlinear blocks; static nonlinearity; Aerodynamics; Least squares approximation; Least squares methods; Linear approximation; Nonlinear systems; Optimization methods; Output feedback; Piecewise linear approximation; Piecewise linear techniques; Vectors;
Conference_Titel :
American Control Conference, 2000. Proceedings of the 2000
Conference_Location :
Chicago, IL
Print_ISBN :
0-7803-5519-9
DOI :
10.1109/ACC.2000.878840
