Abstract
We study the problem of determining an activation strategy of discrete scanning sensors so as to maximize the accuracy of parameter estimation of a distributed system defined in a given multidimensional domain. Usually, when designing an identification experiment for nonlinear models, the uncertainty of nominal parameters has to be taken into account. To this end, an approach involving sequential design techniques is proposed, where there is no particular information about the parameter distribution. A scalar measure of the Fisher information matrix is used as the design criterion. The setting examined here corresponds to situations where there are many sensors and only some of them are activated during a given time interval. Additionally, the routine based on the extension of Fedorov’s idea of directly constrained design measures is proposed and verified by a computer simulation regarding air pollution process.
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References
Demetriou, M.A.: Activation policy of smart controllers for flexible structures with multiple actuator/sensor pairs. In: Jai, A.E., Fliess, M. (eds.) Proc. 14-th Int. Symp. MTNS, Perpignan, France, June 19-23 (2000) (published on CD-ROM)
Fedorov, V.V.: Optimal design with bounded density: Optimization algorithms of the exchange type. Journal of Statistical Planning and Inference 22, 1–13 (1989)
Fedorov, V.V., Hackl, P.: Model-Oriented Design of Experiments. Lecture Notes in Statistics. Springer, New York (1997)
Kubrously, C.S., Malebranche, H.: Sensors and controllers location in distributed systems - A survey. Automatica 21(2), 117–128 (1985)
Müller, W.G.: Collecting Spatial Data. In: Optimum Designs of Experiments for Random Fields. Contributions to Statistics, Physica-Verlag, Heidelberg (1998)
Rafajłowicz, E.: Optimum choice of moving sensor trajectories for distributed parameter system identification. Int. Journal of Control 43(5), 1441–1451 (1986)
Rao, M.: Measure Theory and Integration. John Wiley & Sons, New York (1987)
Uciński, D.: Measurement Optimization for Parameter Estimation of Distributed Systems, Technical University Press, Zielona Góra (1999)
Uciński, D.: Optimal selection of measurement locations for parameter estimation in distributed processes. International Journal of Applied Mathematics and Computer Science 10(2), 357–379 (2000)
Uciński, D.: Optimal sensor location for parameter estimation of distributed processes. International Journal of Control 73(13), 1235–1248 (2000)
Uciński, D.: Optimization of sensors’ allocation strategies for parameter estimation in distibuted systems. System Analysis Modell. Simul. 37, 243–260 (2000)
Uciński, D.: Sensor motion planning with design criteria in output space. In: Atkinson, A., Hackl, P., Müller, W. (eds.) mODa 6, Proc. 6-th Int. Workshop on Model-Oriented Data Analysis, Puchberg/Schneeberg, Austria, 2001, pp. 235–242. Physica-Verlag, Heidelberg (2001)
Uciński, D., Patan, M.: Optimal location of discrete scanning sensors for parameter estimation of distributed systems. In: Proc. 15-th Trennial World Congress of the IFAC, Barcelona, Spain, Pergamon Press, Oxford (2002) (published on CD-ROM)
van de Wal, M., de Jager, B.: A review of methods for input/output selection. Automatica 37, 487–510 (2001)
Walter, E., Pronzato, Z.: Identification of Parametric Models from Experimental Data. Springer, London (1997)
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Patan, M., Uciński, D. (2004). Robust Activation Strategy of Scanning Sensors via Sequential Design in Parameter Estimation of Distributed Systems. In: Wyrzykowski, R., Dongarra, J., Paprzycki, M., Waśniewski, J. (eds) Parallel Processing and Applied Mathematics. PPAM 2003. Lecture Notes in Computer Science, vol 3019. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-24669-5_101
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DOI: https://doi.org/10.1007/978-3-540-24669-5_101
Publisher Name: Springer, Berlin, Heidelberg
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