Non-smooth Kalman filtering for Hammerstein systems with hysteresis
LI Hai-fen
TAN Yong-hong
DONG Rui-li
LI Yan-yan
Abstract：As the hysteresis inherent in the piezoceramic actuator is a nonsmooth nonlinear with multivalued mapping, the hysteresis subsystem is preceded in series with a linear subsystem and the output of the hysteresis cannot be measured directly, it is very difficult to use the traditional filter to estimate the states of system. In this paper, a non-smooth Kalman filter is proposed, a non-smooth state space model for the Hammerstein system with hysteresis is constructed, firstly, the filter is switched among different operating zones automatically according to the operating conditions. Finally, simulation and experimental example are presented. The comparison between the proposed non-smooth scheme and the conventional Kalman filter shows that the former has resulted in better estimation performance.
Keywords：non-smooth Kalman filterhysteresisHammerstein systemstate estimation
Publication Date：2016-01-01
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：8( 745-752 )