Optimal sensor placement in parameter estimation of distributed systems

The problem under consideration is to plan the spatial location of pointwise stationary sensors in such a way as to maximize the accuracy of parameter identification of a distributed system defined in a two-dimensional spatial domain. A general functional defined on the Fisher information matrix is used as the design criterion. The approach converts the problem to a classical experimental design one in which the idea of continuous designs is exploited. Its solution is obtained with the use of first-order numerical algorithms. Two simple numerical examples are presented which clearly demonstrate the ideas and trends presented in the paper.

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