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Sensor network scheduling for identification of spatially distributed processes

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International Journal of Applied Mathematics and Computer Science
Advances in Control and Fault-Tolerant Systems (special issue), Józef Korbicz, Didier Maquin and Didier Theilliol (Eds.)

Amouroux, M. and Babary, J. P. (1988). Sensor and control location problems, in M. G. Singh (Ed.), Systems & Control Encyclopedia. Theory, Technology, Applications, Vol. 6, Pergamon Press, Oxford, pp. 4238-4245.Search in Google Scholar

Armstrong, M. (1998). Basic Linear Geostatistics, Springer-Verlag, Berlin.10.1007/978-3-642-58727-6Search in Google Scholar

Atkinson, A. C. and Donev, A. N. (1992). Optimum Experimental Designs, Clarendon Press, Oxford.Search in Google Scholar

Atkinson, A. C., Donev, A. N. and Tobias, R. D. (2007). Optimum Experimental Designs, with SAS, Oxford University Press, Oxford.Search in Google Scholar

Banks, H. T., Smith, R. C. and Wang, Y. (1996). Smart Material Structures: Modeling, Estimation and Control, Research in Applied Mathematics, Masson, Paris.Search in Google Scholar

Bauer, P. H. (2008). New challenges in dynamical systems: The networked case, International Journal of Applied Mathematics and Computer Science 18(3): 271-277, DOI: 10.2478/v10006-008-0025-8.10.2478/v10006-008-0025-8Search in Google Scholar

Bernstein, D. S. (2005). Matrix Mathematics. Theory, Facts, and Formulas with Application to Linear Systems Theory, Princeton University Press, Princeton, NJ.Search in Google Scholar

Botkin, N. D. and Stoer, J. (2005). Minimization of convex functions on the convex hull of a point set, Mathematical Methods of Operations Research 62(2): 167-18.10.1007/s00186-005-0018-4Search in Google Scholar

Caselton, W. F., Kan, L. and Zidek, J. V. (1992). Quality data networks that minimize entropy, in A. Walden and P. Guttorp (Eds.), Statistics in the Environmental and Earth Sciences, Halsted Press, New York, NY, Chapter 2, pp. 10-38.Search in Google Scholar

Caselton, W. F. and Zidek, J. V. (1984). Optimal monitoring network design, Statistics & Probability Letters 2: 223-227.10.1016/0167-7152(84)90020-8Search in Google Scholar

Cassandras, C. G. and Li, W. (2005). Sensor networks and cooperative control, European Journal of Control 11(4-5): 436-463.10.3166/ejc.11.436-463Search in Google Scholar

Chiang, L. H., Russell, E. L. and Braatz, R. D. (2001). Fault Detection and Diagnosis in Industrial Systems, Springer-Verlag, London.10.1007/978-1-4471-0347-9Search in Google Scholar

Chong, C.-Y. and Kumar, S. P. (2003). Sensor networks: Evolution, opportunities, and challenges, Proceedings of the IEEE 91(8): 1247-1256.10.1109/JPROC.2003.814918Search in Google Scholar

Christofides, P. D. (2001). Nonlinear and Robust Control of PDE Systems: Methods and Applications to Transport-Reaction Processes, Systems & Control: Foundations & Applications, Birkhäuser, Boston, MA.10.1007/978-1-4612-0185-4Search in Google Scholar

COMSOL AB (1995). Partial Differential Equation Toolbox for Use withMatlab. User's Guide, The MathWorks, Inc., Natick, MA.Search in Google Scholar

Cressie, N. A. C. (1993). Statistics for Spatial Data, Revised Edn., John Wiley & Sons, New York, NY.Search in Google Scholar

Daescu, D. N. and Navon, I. M. (2004). Adaptive observations in the context of 4D-Var data assimilation, Meteorology and Atmospheric Physics 85: 205-226.10.1007/s00703-003-0011-5Search in Google Scholar

Demetriou, M. A. (2009). Natural consensus filters for second order infinite dimensional systems, Systems & Control Letters 58(12): 826-833.10.1016/j.sysconle.2009.10.001Search in Google Scholar

Demetriou, M. A. (2010). Guidance of mobile actuator-plus-sensor networks for improved control and estimation of distributed parameter systems, IEEE Transactions on Automatic Control 55(7): 1570-1584.10.1109/TAC.2010.2042229Search in Google Scholar

Demetriou, M. A. and Hussein, I. I. (2009). Estimation of spatially distributed processes using mobile spatially distributed sensor network, SIAM Journal on Control and Optimization 48(1): 266-291.10.1137/060677884Search in Google Scholar

Demetriou, M. A., Ito, K. and Smith, R. C. (2007). Adaptive monitoring and accommodation of nonlinear actuator faults in positive real infinite dimensional systems, IEEE Transactions on Automatic Control 52(12): 2332-2338.10.1109/TAC.2007.910694Search in Google Scholar

El Jai, A. and Hamzaoui, H. (2009). Regional observation and sensors, International Journal of Applied Mathematics and Computer Science 19(1): 5-14, DOI: 10.2478/v10006-009-0001-y.10.2478/v10006-009-0001-ySearch in Google Scholar

Fedorov, V. V. (1989). Optimal design with bounded density: Optimization algorithms of the exchange type, Journal of Statistical Planning and Inference 22: 1-13.10.1016/0378-3758(89)90060-8Search in Google Scholar

Fedorov, V. V. and Hackl, P. (1997). Model-Oriented Design of Experiments, Lecture Notes in Statistics, Springer-Verlag, New York, NY.10.1007/978-1-4612-0703-0Search in Google Scholar

Gevers, M. (2005). Identification for control: From the early achievements to the revival of experiment design, European Journal of Control 11(4-5): 335-352.10.3166/ejc.11.335-352Search in Google Scholar

Goodwin, G. C. and Payne, R. L. (1977). Dynamic System Identification. Experiment Design and Data Analysis, Mathematics in Science and Engineering, Academic Press, New York, NY.Search in Google Scholar

Hearn, D. W., Lawphongpanich, S. and Ventura, J. A. (1985). Finiteness in restricted simplicial decomposition, Operations Research Letters 4(3): 125-130.10.1016/0167-6377(85)90016-1Search in Google Scholar

Hirsch, M. J., Pardalos, P. M., Murphey, R. and Grundel, D. (Eds.) (2008). Advances in Cooperative Control and Optimization. Proceedings of the 7th International Conference on Cooperative Control and Optimization, Springer-Verlag, Berlin.Search in Google Scholar

Hjalmarsson, H. (2005). From experiment design to closed-loop control, Automatica 41: 393-438.10.1016/j.automatica.2004.11.021Search in Google Scholar

Isermann, R. (1997). Supervision, Fault Detection and Diagnosis of Technical Systems, Control Engineering Practice 5(5), Special section.10.1016/S0967-0661(97)00045-2Search in Google Scholar

Jain, N. and Agrawal, D. P. (2005). Current trends in wireless sensor network design, International Journal of Distributed Sensor Networks 1: 101-122.10.1080/15501320590901865Search in Google Scholar

Jeremić, A. and Nehorai, A. (1998). Design of chemical sensor arrays for monitoring disposal sites on the ocean floor, IEEE Transactions on Oceanic Engineering 23(4): 334-343.10.1109/48.725229Search in Google Scholar

Jeremić, A. and Nehorai, A. (2000). Landmine detection and localization using chemical sensor array processing, IEEE Transactions on Signal Processing 48(5): 1295-1305.10.1109/78.839977Search in Google Scholar

Kammer, D. C. (1990). Sensor placement for on-orbit modal identification and correlation of large space structures, Proceedings of the American Control Conference, San Diego, CA, USA, Vol. 3, pp. 2984-2990.Search in Google Scholar

Kammer, D. C. (1992). Effects of noise on sensor placement for on-orbit modal identification of large space structures, Transactions of the ASME 114: 436-443.10.1115/1.2897366Search in Google Scholar

Khapalov, A. Y. (2010). Source localization and sensor placement in environmental monitoring, International Journal of Applied Mathematics and Computer Science 20(3): 445-458, DOI: 10.2478/v10006-010-0033-3.10.2478/v10006-010-0033-3Search in Google Scholar

Kincaid, R. K. and Padula, S. L. (2002). D-optimal designs for sensor and actuator locations, Computers & Operations Research 29: 701-713.10.1016/S0305-0548(01)00048-XSearch in Google Scholar

Korbicz, J., Kościelny, J., Kowalczuk, Z. and Cholewa, W. (2004). Fault Diagnosis. Models, Artificial Intelligence, Applications, Springer-Verlag, Berlin/Heidelberg.10.1007/978-3-642-18615-8Search in Google Scholar

Kubrusly, C. S. and Malebranche, H. (1985). Sensors and controllers location in distributed systems—A survey, Automatica 21(2): 117-128.10.1016/0005-1098(85)90107-4Search in Google Scholar

Ljung, L. (1999). System Identification: Theory for the User, 2nd Edn., Prentice Hall, Upper Saddle River, NJ.Search in Google Scholar

Martínez, S. and Bullo, F. (2006). Optimal sensor placement and motion coordination for target tracking, Automatica 42: 661-668.10.1016/j.automatica.2005.12.018Search in Google Scholar

Müller, W. G. (2001). Collecting Spatial Data. Optimum Design of Experiments for Random Fields, 2nd Revised Edn., Contributions to Statistics, Physica-Verlag, Heidelberg.Search in Google Scholar

Munack, A. (1984). Optimal sensor allocation for identification of unknown parameters in a bubble-column loop bioreactor, in A. V. Balakrishnan and M. Thoma (Eds.), Analysis and Optimization of Systems, Part 2, Lecture Notes in Control and Information Sciences, Vol. 63, Springer-Verlag, Berlin, pp. 415-433.10.1007/BFb0006301Search in Google Scholar

Navon, I. M. (1997). Practical and theoretical aspects of adjoint parameter estimation and identifiability in meteorology and oceanography, Dynamics of Atmospheres and Oceans 27: 55-79.10.1016/S0377-0265(97)00032-8Search in Google Scholar

Nehorai, A., Porat, B. and Paldi, E. (1995). Detection and localization of vapor-emitting sources, IEEE Transactions on Signal Processing 43(1): 243-253.10.1109/78.365304Search in Google Scholar

Nychka, D., Piegorsch, W. W. and Cox, L. H. (Eds.) (1998). Case Studies in Environmental Statistics, Lecture Notes in Statistics, Vol. 132, Springer-Verlag, New York, NY.Search in Google Scholar

Nychka, D. and Saltzman, N. (1998). Design of air-quality monitoring networks, in D. Nychka, W. W. Piegorsch and L. H. Cox (Eds.), Case Studies in Environmental Statistics, Lecture Notes in Statistics, Vol. 132, Springer-Verlag, New York, NY, pp. 51-76.10.1007/978-1-4612-2226-2_4Search in Google Scholar

Ögren, P., Fiorelli, E. and Leonard, N. E. (2004). Cooperative control of mobile sensor networks: Adaptive gradient climbing in a distributed environment, IEEE Transactions on Automatic Control 49(8): 1292-1302.10.1109/TAC.2004.832203Search in Google Scholar

Omatu, S. and Seinfeld, J. H. (1989). Distributed Parameter Systems: Theory and Applications, Oxford Mathematical Monographs, Oxford University Press, New York, NY.Search in Google Scholar

Patan, M. and Patan, K. (2005). Optimal observation strategies for model-based fault detection in distributed systems, International Journal of Control 78(18): 1497-1510.10.1080/00207170500366077Search in Google Scholar

Patan, M. and Uciński, D. (2008). Configuring a sensor network for fault detection in distributed parameter systems, International Journal of Applied Mathematics and Computer Science 18(4): 513-524, DOI: 10.2478/v10006-008-0045-4.10.2478/v10006-008-0045-4Search in Google Scholar

Patriksson, M. (2001). Simplicial decomposition algorithms, in C. A. Floudas and P. M. Pardalos (Eds.), Encyclopedia of Optimization, Vol. 5, Kluwer Academic Publishers, Dordrecht, pp. 205-212.10.1007/0-306-48332-7_468Search in Google Scholar

Patton, R. J., Frank, P. M. and Clark, R. (2000). Issues of Fault Diagnosis for Dynamic Systems, Springer-Verlag, Berlin.10.1007/978-1-4471-3644-6Search in Google Scholar

Patton, R. J. and Korbicz, J. (Eds.) (1999). Advances in Computational Intelligence, International Journal of Applied Mathematics and Computer Science 9 (3), Special issue.Search in Google Scholar

Pázman, A. (1986). Foundations of Optimum Experimental Design, Mathematics and Its Applications, D. Reidel Publishing Company, Dordrecht.Search in Google Scholar

Point, N., Vande Wouwer, A. and Remy, M. (1996). Practical issues in distributed parameter estimation: Gradient computation and optimal experiment design, Control Engineering Practice 4(11): 1553-1562.10.1016/0967-0661(96)00169-4Search in Google Scholar

Porat, B. and Nehorai, A. (1996). Localizing vapor-emitting sources by moving sensors, IEEE Transactions on Signal Processing 44(4): 1018-1021.10.1109/78.492560Search in Google Scholar

Press, W. H., Teukolsky, S. A., Vetterling, W. T. and Flannery, B. P. (2007). Numerical Recipes. The Art of Scientific Computing, 3rd Edn., Cambridge University Press, Cambridge.Search in Google Scholar

Pukelsheim, F. (1993). Optimal Design of Experiments, Probability and Mathematical Statistics, John Wiley & Sons, New York, NY.Search in Google Scholar

Quereshi, Z. H., Ng, T. S. and Goodwin, G. C. (1980). Optimum experimental design for identification of distributed parameter systems, International Journal of Control 31(1): 21-29.10.1080/00207178008961025Search in Google Scholar

Rafajłowicz, E. (1981). Design of experiments for eigenvalue identification in distributed-parameter systems, International Journal of Control 34(6): 1079-1094.10.1080/00207178108922583Search in Google Scholar

Rafajłowicz, E. (1983). Optimal experiment design for identification of linear distributed-parameter systems: Frequency domain approach, IEEE Transactions on Automatic Control 28(7): 806-808.10.1109/TAC.1983.1103309Search in Google Scholar

Rafajłowicz, E. (1986). Optimum choice of moving sensor trajectories for distributed parameter system identification, International Journal of Control 43(5): 1441-1451.10.1080/00207178608933550Search in Google Scholar

Rao, M. M. (1987). Measure Theory and Integration, John Wiley & Sons, New York, NY.Search in Google Scholar

Sastry, S. and Iyengar, S. S. (2005). Real-time sensor-actuator networks, International Journal of Distributed Sensor Networks 1: 17-34.10.1080/15501320490886314Search in Google Scholar

Sinopoli, B., Sharp, C., Schenato, L., Schaffert, S. and Sastry, S. S. (2003). Distributed control applications within sensor networks, Proceedings of the IEEE 91(8): 1235-1246.10.1109/JPROC.2003.814926Search in Google Scholar

Song, Z., Chen, Y., Sastry, C. R. and Tas, N. C. (2009). Optimal Observation for Cyber-physical Systems: A Fisher-information-matrix-based Approach, Springer-Verlag, London.10.1007/978-1-84882-656-4Search in Google Scholar

Sun, N.-Z. (1994). Inverse Problems in Groundwater Modeling, Theory and Applications of Transport in Porous Media, Kluwer Academic Publishers, Dordrecht.Search in Google Scholar

Titterington, D. M. (1980). Aspects of optimal design in dynamic systems, Technometrics 22(3): 287-299.10.1080/00401706.1980.10486160Search in Google Scholar

Uciński, D. (1999). Measurement Optimization for Parameter Estimation in Distributed Systems, Technical University Press, Zielona Góra.Search in Google Scholar

Uciński, D. (2000). Optimal sensor location for parameter estimation of distributed processes, International Journal of Control 73(13): 1235-1248.10.1080/002071700417876Search in Google Scholar

Uciński, D. (2005). Optimal Measurement Methods for Distributed-Parameter System Identification, CRC Press, Boca Raton, FL.10.1201/9780203026786Search in Google Scholar

Uciński, D. (2010). Sensor network design for spatio-temporal prediction of distributed parameter systems, in M. Kuczma and K. Wilmanski (Eds.), Computer Methods in Mechanics: Lectures of the CMM 2009, Springer-Verlag, Berlin, pp. 193-210.10.1007/978-3-642-05241-5_11Search in Google Scholar

Uciński, D. and Atkinson, A. C. (2004). Experimental design for time-dependent models with correlated observations, Studies in Nonlinear Dynamics & Econometrics 8(2), Article No. 13.Search in Google Scholar

Uciński, D. and Bogacka, B. (2005). T-optimum designs for discrimination between two multivariate dynamic models, Journal of the Royal Statistical Society: Series B (Statistical Methodology) 67: 3-18.10.1111/j.1467-9868.2005.00485.xSearch in Google Scholar

Uciński, D. and Chen, Y. (2005). Time-optimal path planning of moving sensors for parameter estimation of distributed systems, Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference 2005, Seville, Spain, (on CD-ROM).Search in Google Scholar

Uciński, D. and Patan, M. (2007). D-optimal design of a monitoring network for parameter estimation of distributed systems, Journal of Global Optimization 39: 291-322.10.1007/s10898-007-9139-zSearch in Google Scholar

Uciński, D. and Patan, M. (2010). Sensor network design for the estimation of spatially distributed processes, International Journal of Applied Mathematics and Computer Science 20(3): 459-481, DOI: 10.2478/v10006-010-0034-2.10.2478/v10006-010-0034-2Search in Google Scholar

Uspenskii, A. B. and Fedorov, V. V. (1975). Computational Aspects of the Least-Squares Method in the Analysis and Design of Regression Experiments, Moscow University Press, Moscow, (in Russian).Search in Google Scholar

van de Wal, M. and de Jager, B. (2001). A review of methods for input/output selection, Automatica 37: 487-510.10.1016/S0005-1098(00)00181-3Search in Google Scholar

Vande Wouwer, A., Point, N., Porteman, S. and Remy, M. (1999). On a practical criterion for optimal sensor configuration—Application to a fixed-bed reactor, Proceedings of the 14th IFAC World Congress, Beijing, China, Vol. I: Modeling, Identification, Signal Processing II, Adaptive Control, pp. 37-42.Search in Google Scholar

von Hohenbalken, B. (1977). Simplicial decomposition in nonlinear programming algorithms, Mathematical Programming 13: 49-68.10.1007/BF01584323Search in Google Scholar

Walter, É. and Pronzato, L. (1997). Identification of Parametric Models from Experimental Data, Communications and Control Engineering, Springer-Verlag, Berlin.Search in Google Scholar

Zhao, F. and Guibas, L. J. (2004). Wireless Sensor Networks: An Information Processing Approach, Morgan Kaufmann Publishers, Amsterdam.Search in Google Scholar

Zhao, T. and Nehorai, A. (2006). Detecting and estimating biochemical dispersion of a moving source in a semi-infinite medium, IEEE Transactions on Signal Processing 54(6): 2213-2225.10.1109/TSP.2006.872606Search in Google Scholar

Zięba, T. and Uciński, D. (2008). Mobile sensor routing for parameter estimation of distributed systems using the parallel tunneling method, International Journal of Applied Mathematics and Computer Science 18(3): 307-318, DOI: 10.2478/v10006-008-0028-5.10.2478/v10006-008-0028-5Search in Google Scholar

ISSN:
1641-876X
Language:
English
Publication timeframe:
4 times per year
Journal Subjects:
Mathematics, Applied Mathematics