Positive linear dynamic model of mobile source air pollution and problems of control

• Autorzy: Rumchev V.G. , Caccetta L. , Kostova S.
• Języki publikacji: EN

Abstrakty

EN

A dynamic model of mobile source air pollution (MSAP) is developed in this paper. The model exhibits positive linear system behaviour. One of its specific features is that the system is restricted to evolve in a given polyhedral region in the state space in order to keep the total emissions from the vehicles within the allowed levels. Three problems of control namely maintainability, finite-time holdability and feedback holdability are formulated and the corresponding solution procedures developed in the paper. A policy implementing the solutions to these problems leads to sustainable levels of the total emissions. Our method can be immediately used to support the decision making process of regional and state environmental authorities.

Słowa kluczowe

EN

control theory; gas emissions; internal combustion engines; air pollution; spark plugs; problem solving; decision making; mathematical models; computer simulation

• Wydawca: Oficyna Wydawnicza Politechniki Wrocławskiej
• Czasopismo: Systems Science
• Rocznik: 2003
• Tom: Vol. 29, nr 1
• Strony: 31--46
• Opis fizyczny: Bibliogr. 9 poz.,

Twórcy

autor

Rumchev V.G.

• Department of Mathematics, Curtin University of Technology, Perth, WA, Australia

autor

Caccetta L.

• Department of Mathematics, Curtin University of Technology, Perth, WA, Australia

autor

Kostova S.

• Institute of Controland System Research, Bulgarian Academy of Sciences, P.O.B. 79, 1113, Sofia, Bulgaria

Bibliografia

• [1] Benvenuti L., Farina L., Linear programming approach to constrained feedback control. International Journal of Systems Science, 33, No. 1, 2002,45-53.
• [2] Berman A., Plemmons R., Non-negative Matrices in Mathematical Sciences, SIAM, Philadelphia 1994.
• [3] Deaton M. L., Winebrake J. J., Dynamic modelling of environmental systems. Springer-Verlag New York 2000.
• [4] Farina L., Rinaldi S., Positive Linear Systems: Theory and Applications. Wiley, New York 2000.
• [5] James D. J. G., Rumchev V, G., Cohort-type models and their reachability and controllability properties. Systems Science, 26, No. 2, 2000, 43-54.
• [6] Luenberger D., Introduction to dynamic systems theory, models and application, Wiley & Sons New York 1979.
• [7] Minc H., Nonnegative matrices, Wiley, New York 1988.
• [8] Rumchev V. G., Feedback and positive feedback holdability of discrete-time systems. Systems Science, 26, No. 3, 2000, 15-23.
• [9] Rumchev V., James D., Maintainability of a class of discrete-time systems, International Journal of Control, 46, No. 1, 1987, 345-355.