Methodology for Optimum Sensor Locations for Parameter Identification in Dynamic Systems
Publication: Journal of Engineering Mechanics
Volume 120, Issue 2
Abstract
This paper provides a methodology for optimally locating sensors in a dynamic system so that data acquired from those locations will yield the best identification of the parameters to be identified. It addresses the following questions: (1) Given sensors, where should they be placed in a spatially distributed dynamic system so that data from those locations will yield best estimates of the parameters that need to be identified?; and (2) given that we have already installed sensors in a dynamic system, where should the next be located? The methodology is rigorously founded on the Fisher information matrix and is applicable to both linear and nonlinear systems. A rapid algorithm is provided for use in large multi‐degree‐of‐freedom systems. After developing the general methodology, the paper goes on to develop the method in detail for a linear , classically damped, system. Numerical examples are provided and it is verified that the optimal placement of sensors, as dictated by the methodology that is developed, could provide significantly improved estimates of the parameters to be identified.
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References
1.
Cramer, H. (1957). Mathematical methods in statistics. Princeton University Press, Princeton, N.J.
2.
Dale, O. B., and Cohen, R. (1971). “Multiparameter identification in linear continuous vibratory systems.” J. Dynamic Systems, Measurement and Control, 45–52.
3.
Gart, J. J. (1959). “An extension of the Cramer‐Rao Inequality.” Ann. of Mat. Statistics, 32(2), 367–380.
4.
Goodwin, G., and Payne, R. (1977). Dynamic system identification. Academic Press, New York, N.Y.
5.
Hart, G. C., ed. (1976). “Dynamic response of structures: Instrumentation, testing and system identification.” Proc., ASCE Engrg. Mech. Specialty Conf., ASCE, New York, N.Y.
6.
Jazwinski, A. H. (1970). Stochastic processes and filtering. Academic Press, New York, N.Y.
7.
Ljung, L. (1987). System identification: theory for the user. Prentice‐Hall, Englewood Cliffs, N.J.
8.
Mehra, R. K., and Lainiotis, D. E. (1976). System identification—advances and case studies. Academic Press, New York, N.Y.
9.
Nahi, N. E. (1969). Estimation theory and applications. John Wiley and Sons, New York, N.Y.
10.
Nahi, N. E., and Wallis, D. (1968). “Optimal control for information maximization in least square parameter estimation.” 𝔘.𝔖.ℭ. ℜ𝔢𝔭. 𝔘𝔖ℭ𝔈𝔈 253, Univ. of Southern California, Los Angeles, Calif.
11.
Rodriguez, G., ed. (1985). “Proc., workshop on identification and control of flexible space structures.” JPL Publication 85‐29, Vols. I and II.
12.
Sage, A. P., and Melsa, J. L. (1971). Estimation theory with applications to communications and control. McGraw Hill, New York, N.Y.
13.
Shah, P., and Udwadia, F. E. (1978). “A methodology for optimal sensor locations for identification of dynamic systems.” J. Appl. Mech., 45, 188–196.
14.
Udwadia, F. E., and Sharma, D. K. (1978). “Some uniqueness results related to building structural identification.” SIAM J. Appl. Math., 34(1), 104–118.
15.
Udwadia, F. E., and Shah, P. (1976). “Identification of structures through records obtained during strong ground shaking.” ASME Trans., J. Engrg. and Industry, 98(1), 1347–1362.
16.
Udwadia, F. E., Shah, P., and Sharma, D. (1978). “Uniqueness of damping and stiffness distributions in the study of soil and structural systems.” J. Appl. Mech., 45, 181–187.
17.
Udwadia, F. E. (1988). “Optimal sensor locations for system identification, report of the air force astronautics laboratory.” AFAL‐TR‐87‐087.
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Copyright © 1994 American Society of Civil Engineers.
History
Received: Jan 11, 1991
Published online: Feb 1, 1994
Published in print: Feb 1994
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