This is a preview of subscription content, log in via an institution to check access.
Preview
Unable to display preview. Download preview PDF.
References
Aidarous, S. E., “Optimal Allocation Strategies in Stochastic Distributed Systems,“ Ph.D. Thesis, Universite Catholique de Louvain, Louvain, Belgium (1976).
Ajinkya, M. B., W. H. Ray, T. K. Yu, and J. H. Seinfeld, “The Application of an Approximate Non-Linear Filter to Systems Governed by Coupled Ordinary and Partial Differential Equations,“ Int. J. Systems Science 6, 313 (1975a).
Ajinkya, M. B., M. Kohne, H. F. Mader, and W. H. Ray, “The Experimental Implementation of a Distributed Parameter Filter,“ Automatica, 11, 571 (1975b).
Angel, E. and A. K. Jain, “A Dimensionality Reducing Model for Distributed Filtering,“ I.E.E.E. Trans. Auto. Control, AC-18, 59 (1973).
Athans, M., “On the Determination of Optimal Costly Measurement Strategies for Linear Stochastic Systems,“ Automatica, 8, 397 (1972).
Bar-Shalom, Y., A. Cohen, and R. E. Larson, “Modeling and Optimization of an Effluent Pollution Surveillance System,“ Proc. 1974 I.E.E.E. Conf. on Decision and Control (1974).
Bensoussan, A., “Optimization of Sensors' Location in a Distributed Filtering Problem,“ in Stability of Stochastic Dynamical Systems, Springer-Verlag, New York (1972).
Bradshaw, A. and B. Porter, “Modal Control of a Class of Distributed Parameter Systems: Multi-eigenvalue Assignment,“ Int. J. Control, 16, 277 (1972).
Brewer, J. W. and S. F. Moore, “Monitoring: An Environmental State Estimation Problem,“ J. Dynamic Systems Measurement and Control, 96, Series D, 363 (1974).
Brockett, R. W. and J. L. Willems, “Discretized Partial Differential Equations: Examples of Control Systems Defined on Modules,“ Automatica, 10, 507 (1974).
Chang, T. Y., and B. Weinstock, “Urban CO Concentrations and Vehicle Emissions,“ J. Air Poll. Control Assoc., 23, 691 (1973).
Chen, W. H. and J. H. Seinfeld, “Optimal Location of Process Measurements,“ Int. J. Control, 21, 1003 (1975).
Cullum, J., “Discrete Approximations to Continuous Optimal Control Problems,“ S.I.A.M. J. Control, 7, 32 (1969).
Davis, J. M. and W. R. Perkins, “Order of Spatial Discretization Error in the Distributed Parameter State Regulator,“ J. Franklin Inst., 292, 277 (1971).
Environmental Protection Agency, “Guidance for Air Quality Monitoring Network Design and Instrument Siting (Revised), OAQPS Number 1.2-012, Research Triangle Park, North Carolina (1975).
Erzberger, H. and M. Kim, “Optimum Boundary Control of Distributed Parameter Systems,“ Inform. and Control, 9, 265 (1966).
Finlayson, B., The Method of Weighted Residuals and Variational Principles, Academic Press, New York (1972).
Gilles, E. D. and M. Zeitz, “Modal Simulation Method for Distributed Parameter Systems,“ Joint Automatic Control Conference, Atlanta, GA (1970).
Greiss, F. K. and W. H. Ray, “The Application of Distributed Parameter Stat Estimation Theory to a Metallurgical Casting Operation,“ Intern. Symp. on New Trends in System Theory, Paris, December (1976).
Herring, K. D. and J. L. Melsa, “Optimum Measurements for Estimation,“ I.E.E.E. Trans. Auto. Control, AC-19, 264 (1974).
Hwang, M., J. H. Seinfeld, and G. R. Gavalas, “Optimal Least Square Filtering and Interpolation in Distributed Parameter Systems,“ J. Math. Anal. Appl. 39, 49 (1972).
Johnson, C. D., “Optimization of a Certain Quality of Complete Controllability and Observability for Linear Dynamic Systems,“ J. of Basic Eng., 91, Series D, 228 (1969).
Lamb, R. G. and J. H. Seinfeld, “Mathematical Modeling of Urban Air Pollution-General Theory,“ Environ. Sci. Technol., 7, 253 (1973).
Leden, B., “On Lumped State-Space Models of a Diffusion Process,“ I.E.E.E. Trans. Auto. Control, AC-21, 408 (1976).
Liu, M. K., D. C. Whitney, J. H. Seinfeld, and P. M. Roth, “Continued Research in Mesoscale Air Pollution Simulation Modeling; Analysis of Model Validity and Sensitivity and Assessment of Prior Evaluation Studies, Report EF 75-23, Systems Applications, Inc., San Rafael, CA (1975).
Ludwig, F. L. and J. H. S. Kealoha, “Selecting Sites for Carbon Monoxide Monitoring,“ Stanford Research Institute, Menlo Park, CA (1975).
Mehra, R. K., “Optimization of Measurement Schedules and Sensor Designs for Linear Dynamic Systems,“ I.E.E.E. Trans. Auto. Control, AC-21, 55 (1976).
Muller, P. C. and H. I. Weber, “Analysis and Optimization of Certain Qualities of Controllability and Observability for Linear Dynamical Systems,“ Automatica, 8, 237 (1972).
Ott, W., “Development of Criteria for Siting Air Monitoring Stations,“ 68th Annual Meeting of the Air Pollution Control Assoc., Paper 75-14,2, Boston, June 15–20, 1975.
Pimentel, K. D., “Toward a Mathematical Theory of Environmental Modeling,“ Ph.D. Thesis, Univ. of California, Davis, CA (1976).
Prabhu, S. S. and I. McCausland, “Optimal Control of Linear Diffusion Processes with Quadratic Error Criteria,“ I.F.A.C Symposium on the Control of Distributed Parameter Systems, Banff, Canada (1971).
Prabhu, S. S. and I. McCausland, “Method of Moments and Controllability of Certain Distributed Parameter Systems,“ Int. J. Control, 23, 89 (1976).
Sanathanan, C. K. and J. D. Ferguson, “Analysis and Control of Distributed Systems Using Non-eigen Space Modes,“ Int. J. Control, 13, 967 (1971).
Seinfeld, J. H., G. R. Gavalas, and M. Hwang, “Non-Linear Filtering in Distributed Parameter Systems,“ Trans. ASME, J. Dyn. Sys. Meas. Cont. G93, 157 (1971).
Seinfeld, J. H., Air Pollution: Physical and Chemical Fundamentals, McGraw-Hill, New York (1975).
Tzafestas, S. G. and J. M. Nightingale, “Concerning Optimal Filtering Theory of Linear Distributed Parameter Systems,“ Proc. I.E.E. 115, 1737 (1968).
Tzafestas, S. G. and J. M. Nightingale, “Maximum Likelihood Approach to the Optimal Filtering of Distributed Parameter Systems,“ Proc. I.E.E. 116, 1085 (1969).
Tzafestas, S. G., “Bayesian Approach to Distributed-Parameter Filtering and Smoothing,“ Int. J. Control 15, 273 (1972a).
Tzafestas, S. G., “On Optimum Distributed Parameter Filtering and Fixed-Interval Smoothing for Colored Noise,“ I.E.E.E. Trans. Auto. Control AC-17, 448 (1972b).
Yu, T. K. and J. H. Seinfeld, “Control of Stochastic Distributed Parameter Systems,“ Jour. Opt. Theor. Appl. 10, 362 (1972).
Yu, T. K. and J. H. Seinfeld, “Observability and Optimal Measurement Location in Linear Distributed Parameter Systems,“ Int. J. Control 18, 785 (1973).
Yu, T. K., J. H. Seinfeld, and W. H. Ray, “Filtering in Non-Linear Time Delay Systems,“ I.E.E.E. Trans. Auto. Control AC-19, 324 (1974).
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1978 Springer-Verlag
About this paper
Cite this paper
Seinfeld, J.H., Koda, M. (1978). Numerical implementation of distributed parameter filters with application to problems in air pollution. In: Ruberti, A. (eds) Distributed Parameter Systems: Modelling and Identification. Lecture Notes in Control and Information Sciences, vol 1. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0003730
Download citation
DOI: https://doi.org/10.1007/BFb0003730
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-08405-1
Online ISBN: 978-3-540-37195-3
eBook Packages: Springer Book Archive