Joint input-state estimation in structural dynamics

被引:119
作者
Maes, K. [1 ]
Smyth, A. W. [2 ]
De Roeck, G. [1 ]
Lombaert, G. [1 ]
机构
[1] Katholieke Univ Leuven, Dept Civil Engn, Leuven, Belgium
[2] Columbia Univ, Dept Civil Engn & Engn Mech, New York, NY 10027 USA
基金
美国国家科学基金会;
关键词
Joint input-state estimation; Force identification; State estimation; Response estimation; Stochastic excitation; STOCHASTIC SUBSPACE IDENTIFICATION; FORCE IDENTIFICATION;
D O I
10.1016/j.ymssp.2015.07.025
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
This paper presents a joint input-state estimation algorithm that can be used for the identification of forces applied to a structure and for the extrapolation of the measured data to unmeasured response quantities of interest. The estimation of the input and the system states is performed in a minimum-variance unbiased way, based on a limited number of response measurements and a system model. No prior information on the system input is required, permitting online application of the algorithm. The paper also presents a novel approach for quantification of the estimation uncertainty originating from measurement errors and unknown stochastic excitation, that is acting on the structure besides the forces that are to be identified. The joint input-state estimation algorithm and the uncertainty quantification approach are verified using numerical simulations. (C) 2015 Elsevier Ltd. All rights reserved.
引用
收藏
页码:445 / 466
页数:22
相关论文
共 20 条
[1]  
Franklin G., 1998, Digital Control of Dynamic Systems, V3
[2]   Unbiased minimum-variance input and state estimation for linear discrete-time systems with direct feedthrough [J].
Gillijns, Steven ;
De Moor, Bart .
AUTOMATICA, 2007, 43 (05) :934-937
[3]  
Hadamard J., 1923, Lectures on Cauchy's problem in linear partial differential equations
[4]   A natural observer for optimal state estimation in second order linear structural systems [J].
Hernandez, Eric M. .
MECHANICAL SYSTEMS AND SIGNAL PROCESSING, 2011, 25 (08) :2938-2947
[5]  
Kailath T, 2000, PR H INF SY, pXIX
[6]  
Kailath T., 1980, LINEAR SYSTEMS
[7]   UNBIASED MINIMUM-VARIANCE LINEAR STATE ESTIMATION [J].
KITANIDIS, PK .
AUTOMATICA, 1987, 23 (06) :775-778
[8]  
Klinkov M., P ISMA2006 LEUV BELG, P3957
[9]   Joint input-response estimation for structural systems based on reduced-order models and vibration data from a limited number of sensors [J].
Lourens, E. ;
Papadimitriou, C. ;
Gillijns, S. ;
Reynders, E. ;
De Roeck, G. ;
Lombaert, G. .
MECHANICAL SYSTEMS AND SIGNAL PROCESSING, 2012, 29 :310-327
[10]   An augmented Kalman filter for force identification in structural dynamics [J].
Lourens, E. ;
Reynders, E. ;
De Roeck, G. ;
Degrande, G. ;
Lombaert, G. .
MECHANICAL SYSTEMS AND SIGNAL PROCESSING, 2012, 27 :446-460