Group sensor scheduling for parameter estimation of random-effects distributed systems
Seminar Room 1, Newton Institute
The problem of sensor location for monitoring network with stationary nodes used for estimating unknown parameters of distributed-parameter system is addressed. In particular, the situation is considered, when the system parameters at the experimentation stage may randomly change according to the slight fluctuations of experimental conditions or differences in individual properties of observed distributed systems. A proper theoretical formulation of the sensor scheduling problem is provided together with a characterization of the optimal solutions. The theory is applicable to those practical situations in which a distributed system is sensitive to sampling or gives a different response at each run of the experiment. In the presented approach, some results from experimental design theory for dynamic systems are extended for the purpose of configuring a sensor grid in order to obtain practical and numerically tractable representation of optimum designs for estimation of the mean values of the parameters. A suitable computational scheme is illustrated by numerical example on a sensor scheduling problem for a two-dimensional example of dynamical distributed process representing the performance of magnetic brake.