Intelligent Fuzzy Input Estimator for the Input Force on the Rigid Bar Structure System

Authors: Ming-Hui Lee, Tsung-Chien Chen, Yuh-Shiou Tai

Abstract:

The intelligent fuzzy input estimator is used to estimate the input force of the rigid bar structural system in this study. The fuzzy Kalman filter without the input term and the fuzzy weighting recursive least square estimator are two main portions of this method. The practicability and accuracy of the proposed method were verified with numerical simulations from which the input forces of a rigid bar structural system were estimated from the output responses. In order to examine the accuracy of the proposed method, a rigid bar structural system is subjected to periodic sinusoidal dynamic loading. The excellent performance of this estimator is demonstrated by comparing it with the use of difference weighting function and improper the initial process noise covariance. The estimated results have a good agreement with the true values in all cases tested.

Keywords: Fuzzy Input Estimator, Kalman Filter, RecursiveLeast Square Estimator.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1077463

References:

[1] P. E. Hollandsworth, and H. R. Busby, "Impact force identification using the general inverse technique," International Journal of Impact Engineering, vol. 8, pp. 315-322, 1989.
[2] H. R. Busby, and D. M. Trujillo, "Numerical solution to a twodimensional heat conduction problem," International Journal for Numerical Methods in Engineering, vol. 21, pp. 349-359, 1985.
[3] M. L. Wang, T. J. Kreitinger, "Identification of force from response data of a nonlinear system," Soil Dynamics and Earthquake Eng., vol. 13, pp. 267-280, 1994.
[4] H. Inoue, N. Ikeda, K. Kishimto, T. Shibuya, and T. Koizumi, "Inverse analysis of the magnitude and direction of impact force," JSME Int. J., Series A, vol. 38, pp.84-91, 1995.
[5] C. H. Huang, "A Generalized Inverse Force Vibration Problem for simultaneously estimating the time-dependent external forces," Applied Mathematical Modelling, vol.29, pp. 1022-1039. 2005.
[6] J. F. Doyle, "A genetic algorithm for determining the location of structural impacts", Exp. Mech.,, vol. 34, no. 1, pp. 37-44, 1994.
[7] M. T. Martin, and J. F. Doyle, (1996), "Impact force location in frame structures", Int. J. of Impact Eng., vol. 18, no. 1, pp. 79-97, 1996.
[8] P. C. Tuan, S. C. Lee, and W. T. Hou, "An efficient on-line thermal input estimation method using Kalman Filter and recursive least square algorithm," Inverse Problem Eng., vol. 5, pp. 309-333, 1997.
[9] P. C. Tuan and W. T. Hou, "Adaptive robust weighting input estimation method for the 1-D inverse heat conduction problem," Numer. Heat Transfer, vol. 34, pp. 439-456, 1998.
[10] M. H. Lee, and T. C. Chen, "Blast load input estimation of the Medium Girder Bridge using inverse method," Defence Science Journal, Vol. 58, no. 1, pp. 46-56, 2008.
[11] T. C. Chen, and M. H. Lee, "Inverse active wind load inputs estimation of the multilayer shearing stress structure," Wind and Structures, An International Journal vol. 11, no. 1, pp.19-33, 2008.
[12] T. C. Chen, and M. H. Lee, "Research on moving force estimation of the bridge structure using the adaptive input estimation method," Electronic Journal of Structural Engineering vol. 8, pp.20-28, 2008.
[13] P. C. Tuan, L. W. Fong, and W. T. Huang, "Analysis of On-Line Inverse Heat Conduction Problems," Journal of Chung Cheng Institute of Technology, vol. 25, no. 1, pp. 59 -73, 1996.
[14] P. Mario, Dynamics of Structures, Hsiao-Yuan Publication Company Limited; 1986.
[15] L. X. Wang, Adaptive Fuzzy Systems and Control: Design and Stability Analysis, Prentice-Hall, Englewood Cliffs, NJ, 1994.