Distributed Identification of an Elastic Beam with Moving Load
Ram Rajagopal, Pravin Varaiya and Ravneet Bajwa
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.
- W. A. Strauss, Partial Differential Equations, an Introduction, Wiley.
- V. Isakov, Inverse Problems for Partial Differential Equations, Springer.
- P. R. Kumar and P. Varaiya, Stochastic Systems: Estimation, Identification and Adaptive Control, Prentice Hall.
- A. Chorin and O. H. Hald, "Stochastic Tools for Mathematics and Science," lecture notes.