A0882
Title: Optimal designs for state estimation in networks
Authors: Kirsten Schorning - Technical University Dortmund (Germany) [presenting]
Abstract: The problem of estimating the expected states in networks is considered, where observations are given by repeated measurements of the random states at the nodes. The choice of the sensors directly influences the quality of the measurements at the different nodes. The problem of optimally allocating different sensors to the nodes is addressed using optimal design theory. Hereby, two models of different complexity are assumed. In the first model, the states of the different nodes are assumed to be independent of time. The design question is then used to determine which nodes need greater precision of the measurements than others. A-optimal designs are explicitly derived for different networks, e.g., a star network. In the second model, the first model is extended to time-dependent states; in particular, the states are modeled using time-dependent functions. Then, the design problem concise the optimal allocation of different measurement devices and the different time points at which measurements should be taken. Both analytical and numerical results are provided for the second model using A-optimality.
