Hierarchical mathematical models of complex plants on the basis of power boiler example

Archives of Control Sciences

Volumn 20, Issue 4, 2010, Pages 381-416

  Stanislawski, Wlodzimierz ^a   Rydel, Marek ^a  

^a OPOLE UNIVERSITY OF TECHNOLOGY   (Poland)

Author keywords

Complex model reduction; Once through steam boiler; Reduced hierarchical model

Indexed keywords

EID: 78650400270     PISSN: 12302384     EISSN: None     Source Type: Journal    
DOI: 10.2478/v10170-010-0023-6     Document Type: Article

References (36)

1. A. ANTOULAS: Approximation of Large-Scale Dynamical System. Society for Industrial and Applied Mathematics, Philadelphia, 2005.
2. A. ANTOULAS and D. SORENSEN: Approximation of large-scale dynamical system: An overview. Int. J. of Applied Mathematics and Computer Science, 11(5), (2001), 1093-1121.
3. A. ANTOULAS, D. SORENSEN and S. GUGERCIN: A modified low-rank smith method for large-scale lyapunov equations. Numerical Algorithms, 32(1), (2003), 27-55.
4. P. BENNER, E. QUINTANA-ORTI and G. QUINTANA-ORTI: Efficient numerical algorithms for balanced stochastic truncation. Int. J. of Applied Mathematics and Computer Science, 11(5), (2001), 1123-1150.
5. D. BOLEY: Krylov space methods on state-space control models. Circuits, Systems and Signal Processing, 13(6), (1994), 733-758.
6. T.Y. CHIU: Model reduction by the low-frequency approximation balancing method for unstable systems. IEEE Trans. on Automatic Control, 41(7), (1996), 995-997.
7. D. ENNS: Model reduction with balanced realizations: An error bound and frequency weighted generalization. In 23rd IEEE Conf. on Decision and Control, (1984), 127-132.
8. P. FELDMANN and R.W. FREUND: Efficient linear circuit analysis by pade approximation via the lanczos process. IEEE Trans. on Computer-Aided Design of Integrated Circuits and Systems, 14(5), (1995), 639-649.
9. W. GAWRONSKI and J. JUANG: Model reduction in limited time and frequency intervals. Int. J. of Systems Science, 21(2), (1990), 349-376.
10. K. GLOVER: All optimal hankel-norm approximations of linear multivariable systems and their l,∞ error bounds. Int. J. of Control, 39(6), (1984), 1115-1193.
11. T. GUDMUNDSSON and A. LAUB: Approximate solution of large sparse lyapunov equations. IEEE Trans. on Automatic Control, 39(5), (1994), 1110-1114.
12. S. GUGERCIN: An iterative svd-krylov based method for model reduction of largescale dynamical systems. In 44th IEEE Conf. on Decision and Control, (2005), 5905-5910.
13. S. GUGERCIN and A. ANTOULAS: A comparative study of 7 algorithms for model reduction. In 39th IEEE Conf. on Decision and Control, 3 (2000), 2367-2372.
14. S. GUGERCIN and A. ANTOULAS: A survey of model reduction by balanced truncation and some new results. Int. J. of Control, 77(8), (2004), 748-766.
15. M. ILAK and C. ROWLEY: Reduced-order modeling of channel flow using traveling pod and balanced pod. In 3rd AIAA Flow Control Conference, (2006).
16. D. IMAEV, M. RYDEL and W. STANISLAWSKI: Reduction of flow boiler proper models as control objects. In XVI National Automation Conference, (2008), 198-207. (in Polish).
17. A. LAUB, M. HEATH, C. PAIGE and R. WARD: Computation of system balancing transformations and other applications of simultaneous diagonalization algorithms. IEEE Trans. on Automatic Control, 32(2), (1987), 115-122.
18. J.R. LI and J. WHITE: Reduction of large circuit models via low rank approximate gramians. Int. J. of Applied Mathematics and Computer Science, 11(5), (2001), 1151-1171.
19. Y. LIU and B. ANDERSON: Singular perturbation approximation of balanced system. In 28th IEEE Conf. on Decision and Control, 2 (1989), 1355-1360. (Pubitemid 20700971)
20. B. MOORE: Principal component analysis in linear systems: Controllability, observability and model reduction. IEEE Trans. on Automatic Control, 26(1), (1981), 17-32.
21. G. OBINATA and B. ANDERSON: Model Reduction for Control System Design. Springer-Verlag, London, 2001.
22. G. PAPPAS: Hierarchically consistent control systems. IEEE Trans. on Automatic Control, 45(6), (2000), 1144-1160.
23. T. PENZL: Algorithms for model reduction of large dynamical systems. Linear Algebra and its Applications, 415 (2006), 322-343.
24. L.T. PILLAGE and R.A. ROHRER: Asymptotic waveform evaluation for timing analysis. IEEE Trans on Computer-Aided Design of Integrated Circuits and Systems, 9(4), (1990), 352-366.
25. M. RYDEL: Reduction of hierarchical complex objects models based on steam boiler. PhD thesis, Opole University of Technology, Opole, 2008. (in Polish).
26. M. RYDEL and W. STANISLAWSKI: Problems of a complex plant models reduction. Measurement Automation and Monitoring, 2 (2010), 197-200. (in Polish).
27. M.G. SAFONOV and R.Y. CHIANG: A schur method for balanced-truncation model reduction. IEEE Trans. on Automatic Control, 34(7), (1989), 729-733.
28. W. STANISLAWSKI: Modelling and Computer simulation of Power Boilers flow boilers. Monograph Studies, 124 Opole, 2001, (in Polish).
29. W. STANISLAWSKI and D. IMAEV: Hierarchical approach to the steam boiler modelling and simulation. In 12th European Simulation Multiconference, (1998), 171-175.
30. W. STANISLAWSKI and W. MINKINA: Verification of mathematic model of steam boiler of bp-1150 boiler, for control purposes. Measurements Automation Robotics, 3 (1999), 7-10, (in Polish).
31. W. STANISLAWSKI and M. RYDEL: Aggregation of hierarchial models of complex control objects based on a power plant. In 11th Int. Conf. on Methods and Models in Automation and Robotics, (2005), 985-990.
32. W. STANISLAWSKI and M. RYDEL: Hierarchical models of complex control objects. In XV National Automation Conference, (2005), 149-154, (in Polish).
33. A. VARGA: Balancing-free square-root algorithm for computing singular perturbation approximations. In 30th IEEE Conf. on Decision and Control, 2 (1991), 1062-1065.
34. G. WANG, V. SREERAM and W. Q. LIU: A new frequency-weighted balanced truncation method and an error bound. IEEE Trans. on Automatic Control, 44(9), (1999), 1734-1737.
35. K. WILLCOX and J. PERAIRE: Balanced model reduction via the proper orthogonal decomposition. AIAA Journal, 40(11), (2002), 2323-2330.
36. P. WORTELBOER and O. BOSGRA: Generalized frequency weighted balanced reduction. In 31st IEEE Conf. on Decision and Control, 3 (1992), 2848-2849.