2009 Research Summary

Distributed Identification of an Elastic Beam with Moving Load

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Ram Rajagopal and Pravin Varaiya

Institute for Transportation Studies

We consider the model of a road as a Euler beam with an elastic foundation. The objective of the problem is to identify the parameters, such as weight, of a moving load on the road. One-dimensional and two-dimensional models for the dynamics are considered. Centralized as well as decentralized algorithms for identification and their performance analysis under a variety of uncertainty models are studied. The optimal placement of sensors will be addressed.

[1]

W. A. Strauss, Partial Differential Equations, an Introduction, Wiley.

[2]

V. Isakov, Inverse Problems for Partial Differential Equations, Springer.

[3]

P. R. Kumar and P. Varaiya, Stochastic Systems: Estimation, Identification and Adaptive Control, Prentice Hall.

[4]

A. Chorin and O. H. Hald, "Stochastic Tools for Mathematics and Science," lecture notes.