The application of state observers in structural dynamics

Waller, Heinz; Schmidt, Robert

doi:10.1016/0888-3270(90)90015-d

Cited by 19 publications

(13 citation statements)

References 2 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Angeles-Cervantes and Alvarez-Icaza [25] developed a technique that identifies the state and parameters of a 3D building model excited through two seismic excitation signals that are horizontal and orthogonal. Waller and Schmidt [26] present an adaptive observer that identifies the eigenfrequencies, damping and the stiffness matrix of a building. Wang et al [27] propose an adaptive observer for structures whose design employs the Hilbert transform.…”

Section: Introductionmentioning

confidence: 99%

“…References [2][3][4][5][6][7][8] present adaptive observers for systems whose models need to be written in special canonical forms obtained through static or dynamic transformations. In the particular case of civil structures, several techniques that estimate their parameters and state composed of displacements and velocities, and that do not resort to canonical transformations have been proposed in [9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28]. Observer/Kalman filter identification (OKID) approaches are presented in [9][10][11] and they compute the Contents lists available at ScienceDirect journal homepage: www.elsevier.com/locate/ymssp Markov parameters of a Kalman filter observer.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Simultaneous parameter and state estimation of shear buildings

Concha

Álvarez-Icaza

Garrido

2016

Mechanical Systems and Signal Processing

View full text Add to dashboard Cite

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Simultaneous parameter and state estimation of shear buildings

Concha

Álvarez-Icaza

Garrido

2016

Mechanical Systems and Signal Processing

View full text Add to dashboard Cite

“…Equation 35 is a discrete algebraic Riccati equation (DARE), the solution of which can be found through the control theory literature. 50 When P x ∞ is computed, filter gains and all error covariance matrices will be computed according to the governing equations.…”

Section: Steady-state Filtermentioning

confidence: 99%

Bayesian framework for simultaneous input/state estimation in structural and mechanical systems

Valikhani

Younesian

2019

Struct Control Health Monit

View full text Add to dashboard Cite

Summary Real‐time input/state estimation by means of the observed response has drawn considerable attention in the structural, dynamic, and control systems. In this line, a minimum‐variance unbiased (MVU) estimator has been utilized to develop three‐step filters that sometimes experience instability and divergence, especially for the input estimation in structural dynamics. To solve this challenge, this study is aimed at to estimate both the input and state simultaneously for a linear system. A Bayesian framework is developed, in which the prior information of the unknown input in terms of the a priori probability density function is incorporated in estimation process. Formulation of the estimation is presented in the state‐space representation in presence and absence of the direct feedthrough. Three‐step filters including input estimation, state prediction, and the updating are developed for the system having model uncertainty and noisy observed data. In addition to the estimation, another novel feature of this study is to predict the steady states of the filters in the closed‐form representation. We also establish sufficient conditions for convergence and stability of the proposed filters. At the end, the efficiency, robustness, and advantage of the approach is verified through numerical studies for different systems. Results for the input and state estimation are compared with real values according to the MVU estimator for the observed noisy data sets.

show abstract

“…State observers are common in control systems and have had limited application in structural dynamics . Recent application of state estimation with emphasis in reconstructing seismic response of buildings can be found in .…”

Section: State Estimation In Structural Systemsmentioning

confidence: 99%

High‐resolution seismic monitoring of instrumented buildings using a model‐based state observer

Erazo

Hernández

2016

Earthq Engng Struct Dyn

View full text Add to dashboard Cite

Summary This paper proposes a model‐based state observer to perform high‐definition response estimation in partially instrumented building structures. The proposed estimator is verified in a simulated five‐story shear‐building structure and validated using measurements from a seven‐story reinforced concrete building slice tested at the NEES‐University of California at San Diego shake table. In both cases the proposed estimator yielded satisfactory results by estimating the time history of shear forces, bending moments, displacements, and strains at various points/sections of interest. The proposed algorithm can be used in instrumented buildings for various practical applications such as post‐earthquake damage assessment, structural control, and building code calibration. Copyright © 2016 John Wiley & Sons, Ltd.

show abstract

The application of state observers in structural dynamics

Cited by 19 publications

References 2 publications

Simultaneous parameter and state estimation of shear buildings

Simultaneous parameter and state estimation of shear buildings

Bayesian framework for simultaneous input/state estimation in structural and mechanical systems

High‐resolution seismic monitoring of instrumented buildings using a model‐based state observer

Contact Info

Product

Resources

About