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Optimal activation policies for continuous scanning observations in parameter estimation of distributed systems. (English) Zbl 1129.93048
Summary: The problem of determining an optimal measurement scheduling for identification of unknown parameters in distributed systems described by partial differential equations is discussed. The discrete-scanning observations are performed by an optimal selection of measurement data from spatially fixed sensors. In the adopted approach, the sensor scheduling problem is converted to a constrained optimal control problem. In this framework, the control value represents the selected sensor configuration. Thus the control variable is constrained to take values in a discrete set and switchings between sensors may occur in continuous time. By applying the control parameterization enhancing transform technique, a computational procedure for solving the optimal scanning measurement problem is obtained. The numerical scheme is then tested on a computer example regarding an advection-diffusion problem.

MSC:
93E10 Estimation and detection in stochastic control theory
93E12 Identification in stochastic control theory
93B07 Observability
93B17 Transformations
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