Identification, reduction, and refinement of model parameters by theeigensystem realization algorithm

Closed-Loop Identification of Flexible Structures: An Experimental Example

“…2;3 This algorithm also forms the basis of a number of related approaches (see, for example, Refs. [4][5][6][7][8]. The ERA approach has also been combined with minimum model error methods.…”

Extraction of Structural System Matrices From an Identified State-Space System Using the Combined Measurements of Dva

“…The estimation of structural system matrices from displacement-based Markov parameters reported in reference [17] is a special case of our results, i.e., the case of j"2. Once the continuous-time Markov parameters have been estimated from an equivalent state-space system, the structural system matrices can be estimated from adequate expressions depending on the types of sensors used in the measurement.…”

“…Juang and Pappa [15,16] developed the eigensystem realization algorithm (ERA) to estimate the natural frequencies and damping ratios of a dynamic system from the known Markov parameters. Yang and Yeh [17] employed the ERA to identify the system matrices of a vibrating structure from the displacement-based Markov parameters, which were estimated from measured displacement responses together with the excitation forces. Chaudhary et al [18] proposed a two-step method, the former is the estimation of complex modal parameters using system realization theory from seismic records, and the latter is the identi"cation of structural parameters from the estimated complex modes for identifying the physical model of two base-isolated bridges.…”

Structural system identification: from reality to models

“…The revised modal damping matrix is characteristically non-diagonal, and the generalized form of the new modal parameters make it possible to maintain exact system equivalence with the initial complex damped modal parameters. In [40], a solution for the mass, damping and stiffness matrices in terms of the ERA system realization is given when the number of sensors, actuators, and identified modes are all equal. This method also accomplishes a mode shapedamping de-coupling, though it is not a central point of the algorithm.…”