Sensor Network Design for Spatio-Temporal Prediction of Distributed Parameter Systems

An activation strategy of pointwise sensors used for estimating unknown parameters in models described by partial differential equations is addressed In contrast to the common approach based on parameter-space criteria, attention is paid here to a criterion in output space, which is of Interest if the purpose of parameter estimation is to accurately pi edict system outputs The problem is formulated as the determination of the density of tweed sites so as to minimize the adopted design criterion, subject to inequality constraints Incorporating a maximum allowable sensor density in a given spatial domain. The search for the optimal solution is performed using a simplicial decomposition algorithm. The use of the proposed approach is illustrated by a numerical example involving sensor selection for a two-dimensional diffusion process