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Parameter Identification (Estimation)

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Theoretical Chemical Engineering
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Abstract

The separate stages of the modeling and simulation lead to specific calculation problems. The modeling at the stage of parameter estimation must solve incorrect inverse problems and minimize multiextremal functions, where the calculation of the least-squares function needs the solution of differential equations. The simulation at the stages of optimal control and design uses the methods of solution of differential equations and minimization of functions. Model parameter identification (estimation) is an inverse problem solution [1], i.e., a mathematical procedure to calculate parameter values using experimental data.

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References

  1. Boyadjiev Chr (1993) Fundamentals of modeling and simulation in chemical engineering and technology. Bulgarian Academy of Sciences, Sofia (in Bulgarian)

    Google Scholar 

  2. Tikhonov AN, Arsenin VI (1986) Methods of inverse problem solution. Nauka, Moscow (in Russian)

    Google Scholar 

  3. Tikhonov AN, Kal’ner VD, Glasko VB (1990) Mathematical modelling of technological processes and methods of inverse problem solution in the machine industry. Mashinostroenie, Moscow (in Russian)

    Google Scholar 

  4. Chr Boyadjiev, Beschkov V (1988) Mass transfer in liquid film flows. Mir, Moscow (in Russian)

    Google Scholar 

  5. Kolmogorov AN, Fomin SV (1954) Topic of theory of functions and functional analysis, 1st edn. Moscow State University, Moscow (in Russian)

    Google Scholar 

  6. Vutchkov I, St Stoyanov (1986) Mathematical modelling and optimization of technological objects. Technika, Sofia (in Bulgarian)

    Google Scholar 

  7. Ermakov SM, Zhigliavkii NA (1987) Mathematical theory of optimal experiments. Nauka, Moscow (in Russian)

    Google Scholar 

  8. Alifanov OM, Artukhin EA, Rumiantsev SV (1988) Extremal methods of incorrect problem solutions. Nauka, Moscow (in Russian)

    Google Scholar 

  9. Artukhin EA, Okhapkin AS (1982) J Eng Phys (Russia) 42:1013

    Google Scholar 

  10. Alifanov OM (1974) J Eng Phys Russia 26:682

    Google Scholar 

  11. Alifanov OM (1977) J Eng Phys Russia 33:972

    Article  Google Scholar 

  12. Alifanov OM (1983) J Eng Phys Russia 45:742

    Article  Google Scholar 

  13. Alifanov OM, Rumiantsev CB (1980) J Eng Phys Russia 39:253

    Google Scholar 

  14. Alifanov OM (1994) Inverse heat transfer problems. Springer, Berlin

    Book  Google Scholar 

  15. Beck JV, Arnold KI (1977) Parameter estimation in engineering and science. Wiley, New York

    Google Scholar 

  16. Beck JV, Blackwell B, St Clair CR Jr (1985) Inverse heat condition. Ill-posed problems. J. Wiley–Interscience Publications, New York

    Google Scholar 

  17. Brakham RL Jr (1989) Scientific data analysis. Springer, Berlin

    Google Scholar 

  18. Banks HT, Kunsch K (1989) Estimation techniques for distributed parameters. Birkhäuser, Basel

    Book  Google Scholar 

  19. Chavent G (1973) In: Proceedings of the 3rd IFAC symposium. North-Holland, Amsterdam, p 649

    Google Scholar 

  20. Chavent G (1980) In: Proceedings of the SIFAC symposium, vol 1. Pergamon, New York

    Google Scholar 

  21. Draper NR, Smith H (1966) Applied regression analysis. Wiley, New York

    Google Scholar 

  22. Glasko VB (1994) Inverse problem of mathematical physics (trans: Bincer A) American Institute of Physics, Melville

    Google Scholar 

  23. Nayfeh AH (1976) Perturbation methods. Wiley, New York

    Google Scholar 

  24. Chr Boyadjiev, Dimitrova E (2005) Comput Chem Eng 29:941

    Article  CAS  Google Scholar 

  25. Dimitrova E, Brauner N, Chr Boyadjiev, Shacham M (2010) Trans Academenergo 1:3

    Google Scholar 

  26. Boyadjiev Chr, Dimitrova E (2002) In: Proceedings of the 7th workshop on transport phenomena in two-phase flow (Warna’ 2002), p 45

    Google Scholar 

  27. Dimitrova E, Boyadjiev Chr (2002) In: Proceedings of the 7th workshop on transport phenomena in two-phase flow (Warna’ 2002), p 59

    Google Scholar 

  28. Dimitrova E, Boyadjiev Chr (2002) In: Proceedings of the 7th workshop on transport phenomena in two-phase flow (Warna’ 2002), p 67

    Google Scholar 

  29. Boyadjiev Chr, Dimitrova E (2003) In: Proceedings of the 8th workshop on transport phenomena in two-phase flow (Sunny Beach’ 2003), p 105

    Google Scholar 

  30. Dimitrova E, Boyadjiev Chr (2003) In: Proceedings of the 8th workshop on transport phenomena in two-phase flow (Sunny Beach’2003), p 123

    Google Scholar 

  31. Dimitrova E, Boyadjiev Chr (2003) In: Proceedings of the 8th workshop on transport phenomena in two-phase flow (Sunny Beach’2003), p 133

    Google Scholar 

  32. Dimitrova E, Boyadjiev Chr (2004) In: Proceedings of the 9th workshop on transport phenomena in two-phase flow (Borovets’2004), p 137

    Google Scholar 

  33. Popova P, Boyadjiev Chr (2004) In: Proceedings of the 9th workshop on transport phenomena in two-phase flow (Borovets’2004), p 145

    Google Scholar 

  34. Popova P, Boyadjiev Chr (2008) Biochem Eng J 39:397

    Article  CAS  Google Scholar 

  35. Madar J, Abonyi J, Roubos H, Szeifert F (2003) Ind Eng Chem Res 42:4043

    Article  CAS  Google Scholar 

  36. Himmelblau DM, Jones CR, Sichoff KB (1967) Ind Eng Chem Fundam 6:539

    Article  CAS  Google Scholar 

  37. Tang YP (1971) Ind Eng Chem Fundam 10:321

    Article  CAS  Google Scholar 

  38. Beschkov V, Velizarov S (1971) C R Acad Bulg Sci 47(8):53

    Google Scholar 

  39. Znad H, Bales V, Kawase J (2004) Chem Pap 58:23

    CAS  Google Scholar 

  40. Olijve W, Kok J (1979) Arch Microbiol 121:283

    Article  CAS  Google Scholar 

  41. Luedeking R, Piret EL (1959) Biotechnol Bioeng 67:636

    Article  Google Scholar 

  42. Velizarov S, Beschkov V (1994) Biotechnol Lett 16:715

    Article  CAS  Google Scholar 

  43. Vuchkov I (1978) Optimal design of experimental research. Technika, Sofia (in Bulgarian)

    Google Scholar 

  44. Artyuhin EA (1985) J Eng Phys Russia 48:490

    Google Scholar 

  45. Vuchkov IN et al (1978) Catalogue of consequal generated plans. MHP, Sofia

    Google Scholar 

  46. Perry RH, Green DW (1999) Perry’s chemical engineering handbook. McGraw-Hill, New York

    Google Scholar 

  47. Shacham M, Brauner N (1999) Chem Eng Process 38:477

    Article  CAS  Google Scholar 

  48. Barbosa M, Hoogakker J, Wijffels R (2003) Biomol Eng 20:115

    Article  CAS  Google Scholar 

  49. Merchuk J, Gluz M, Mukmenev I (2000) J Chem Technol Biotechnol 75:1119

    Article  CAS  Google Scholar 

  50. Merchuk J, Wu X (2001) Chem Eng Sci 56:2527

    Google Scholar 

  51. Banister T (1979) Limnol Oceanogr 24:76

    Article  Google Scholar 

  52. Laws E, Bannister T (1980) Limnol Oceanogr 25:457

    Article  CAS  Google Scholar 

  53. Ree G, Gotham I (1980) Limnol Oceanogr 26:649

    Article  Google Scholar 

  54. Sanchez Perez J, Garcia Camacho F, Garcia Sanchez J, Lopez Alonso D (1993) Appl Microbiol Biotechnol 38:599

    Google Scholar 

  55. Papadakis I, Kozabasis K, Lika K (2005) Biochim Biophys Acta 1708:250

    Article  CAS  Google Scholar 

  56. Prézelin B (1981) Can J Fish Aquat Sci 210:1

    Google Scholar 

  57. Fasham M, Platt T (1983) Proc R Soc Lond B Biol Sci 219:355

    Article  CAS  Google Scholar 

  58. Megard R, Tonkyn D, Senft W (1984) J Plankton Res 6:325

    Article  CAS  Google Scholar 

  59. Eilers P, Peeters J (1988) Ecol Model 42:199

    Article  Google Scholar 

  60. Eilers P, Peeters J (1993) Ecol Model 69:113

    Article  CAS  Google Scholar 

  61. Zonneveld C (1997) Theor Biol 186:381

    Article  CAS  Google Scholar 

  62. Zonneveld C, van Den Berg HA, Kooijman S (1997) J Theor Biol 188:215

    Article  Google Scholar 

  63. Zonneveld C (1998) J Theor Biol 193:115

    Article  CAS  Google Scholar 

  64. Zonneveld C (1998) Ecol Model 113:55

    Article  CAS  Google Scholar 

  65. Rubio C, Camacho F, Sevilla J, Chisti Y, Grima E (2003) Biotechnol Bioeng 81:459

    Article  Google Scholar 

  66. Shuter B (1979) J Theor Biol 78:519

    Article  CAS  Google Scholar 

  67. Prokop A, Erickson L (1994) In: Asenjo JA, Merchuk JC (eds) Bioreactor system design. Dekker, New York

    Google Scholar 

  68. Chr Boyadjiev (2006) Int J Heat Mass Transf 49:796

    Article  Google Scholar 

  69. Chr Boyadjiev (2006) Int J Heat Mass Transf 4:2053

    Article  Google Scholar 

  70. Jones R, Speer H (1963) Physiol Plant 16:636

    Article  CAS  Google Scholar 

  71. Merchuk J, Ronen M, Giris S, Arad Sh (1998) Biotechnol Bioeng 59:705

    Article  CAS  Google Scholar 

  72. Popova P, Chr Boyadjiev (2008) Chem Biochem Eng Q 22:491

    CAS  Google Scholar 

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Boyadjiev, C. (2010). Parameter Identification (Estimation). In: Theoretical Chemical Engineering. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-10778-8_8

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