T. Sato et K. Qi, ADAPTIVE H-INFINITY FILTER - ITS APPLICATION TO STRUCTURAL IDENTIFICATION, Journal of engineering mechanics, 124(11), 1998, pp. 1233-1240
adding the function of memory fading for past observation data to the
H-infinity filter, the adaptive H-infinity filter was developed for id
entifying structural systems with nonstationary dynamic characteristic
s. Identification algorithms are proposed for time-varying structural
systems in which the velocity and displacement of each floor are avail
able for observation, as well as for the case when only the velocity a
nd displacement of some floors are available. The Akaike-Bayes informa
tion criterion is used to determine the optimal forgetting factor. Ide
ntification algorithms that use the adaptive H-infinity and Kalman fil
ters are applied to a five-degree of freedom (DOF) linear system with
nonstationary dynamic characteristics and to a five-DOF nonlinear stru
ctural system. Digital simulation results show that the adaptive H-inf
inity filter efficiently traces the time-varying properties of structu
ral systems. The behavior of the adaptive H-infinity filter is better
than that of the adaptive Kalman filter for identifying a structural s
ystem with time-varying dynamic characteristics. The former is more ef
ficient and robust for identifying structural systems with nonstationa
ry dynamic characteristics.