### Details

#### Title

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

Archives of Control Sciences#### Yearbook

2010#### Numer

No 4#### Authors

#### Divisions of PAS

Nauki Techniczne#### Publisher

Committee of Automatic Control and Robotics PAS#### Date

2010#### Identifier

ISSN 1230-2384#### References

Antoulas A. (2005), Approximation of Large-Scale Dynamical System, doi.org/10.1137/1.9780898718713 ; Antoulas A. (2001), Approximation of large-scale dynamical system: An overview, Int. J. of Applied Mathematics and Computer Science, 11, 5, 1093. ; Antoulas A. (2003), A modified low-rank smith method for large-scale lyapunov equations, Numerical Algorithms, 32, 1, 27. ; Benner P. (2001), Efficient numerical algorithms for balanced stochastic truncation, Int. J. of Applied Mathematics and Computer Science, 11, 5, 1123. ; Boley D. (1994), Krylov space methods on state-space control models, Circuits, Systems and Signal Processing, 13, 6, 733. ; Chiu T. (1996), Model reduction by the low-frequency approximation balancing method for unstable systems, IEEE Trans. on Automatic Control, 41, 7, 995. ; Enns D. (1984), Model reduction with balanced realizations: An error bound and frequency weighted generalization, null, 127. ; Feldmann P. (1995), Efficient linear circuit analysis by pade approximation via the lanczos process, IEEE Trans. on Computer-Aided Design of Integrated Circuits and Systems, 14, 5, 639. ; Gawronski W. (1990), Model reduction in limited time and frequency intervals, Int. J. of Systems Science, 21, 2, 349. ; Glover K. (1984), All optimal hankel-norm approximations of linear multivariable systems and their l,∞ error bounds, Int. J. of Control, 39, 6, 1115. ; Gudmundsson T. (1994), Approximate solution of large sparse lyapunov equations, IEEE Trans. on Automatic Control, 39, 5, 1110. ; Gugercin S. (2005), An iterative svd-krylov based method for model reduction of large-scale dynamical systems, null, 5905. ; Gugercin S. (2000), A comparative study of 7 algorithms for model reduction, null, 3, 2367. ; Gugercin S. (2004), A survey of model reduction by balanced truncation and some new results, Int. J. of Control, 77, 8, 748. ; Ilak M. (2006), Reduced-order modeling of channel flow using traveling pod and balanced pod, null. ; Imaev D. (2008), Reduction of flow boiler proper models as control objects, null, 198. ; Laub A. (1987), Computation of system balancing transformations and other applications of simultaneous diagonalization algorithms, IEEE Trans. on Automatic Control, 32, 2, 115. ; Li J. (2001), Reduction of large circuit models via low rank approximate gramians, Int. J. of Applied Mathematics and Computer Science, 11, 5, 1151. ; Liu Y. (1989), Singular perturbation approximation of balanced system, null, 2, 1355. ; Moore B. (1981), Principal component analysis in linear systems: Controllability, observability and model reduction, IEEE Trans. on Automatic Control, 26, 1, 17. ; Obinata G. (2001), Model Reduction for Control System Design, doi.org/10.1007/978-1-4471-0283-0 ; Pappas G. (2000), Hierarchically consistent control systems, IEEE Trans. on Automatic Control, 45, 6, 1144. ; Penzl T. (2006), Algorithms for model reduction of large dynamical systems, Linear Algebra and its Applications, 415, 322. ; Pillage L. (1990), Asymptotic waveform evaluation for timing analysis, IEEE Trans on Computer-Aided Design of Integrated Circuits and Systems, 9, 4, 352. ; M. Rydel: <i>Reduction of hierarchical complex objects models based on steam boiler.</i> PhD thesis, Opole University of Technology, Opole, 2008. (in Polish). ; Rydel M. (2010), Problems of a complex plant models reduction, Measurement Automation and Monitoring, 2, 197. ; Safonov M. (1989), A schur method for balanced-truncation model reduction, IEEE Trans. on Automatic Control, 34, 7, 729. ; Stanisławski W. (2001), Modelling and Computer simulation of Power Boilers flow boilers, Monograph Studies, 124. ; Stanisławski W. (1998), Hierarchical approach to the steam boiler modelling and simulation, null, 171. ; Stanisławski W. (1999), Verification of mathematic model of steam boiler of bp-1150 boiler, for control purposes, Measurements Automation Robotics, 3, 7. ; Stanisławski W. (2005), Aggregation of hierarchial models of complex control objects based on a power plant, null, 985. ; Stanisławski W. (2005), Hierarchical models of complex control objects, null, 149. ; Varga A. (1991), Balancing-free square-root algorithm for computing singular perturbation approximations, null, 2, 1062. ; Wang G. (1999), A new frequency-weighted balanced truncation method and an error bound, IEEE Trans. on Automatic Control, 44, 9, 1734. ; Willcox K. (2002), Balanced model reduction via the proper orthogonal decomposition, AIAA Journal, 40, 11, 2323. ; Wortelboer P. (1992), Generalized frequency weighted balanced reduction, null, 3, 2848.#### DOI

10.2478/v10170-010-0023-6