Abstract
This paper presents a comparison of four model order reduction algorithms applied to modeling of evaporating tubes system in the BP–1150 steam boiler. The following model reduction techniques are compared: Frequency Weighted, Rational Krylov, Frequency Weighted with time delay and non-integer order transfer function with and without time delay. Optimal reduction parameters and values of f-zeros and f-poles of non-integer order transfer function are obtained using evolutionary algorithm.
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References
Antoulas, A.: Approximation of Large-Scale Dynamical System. Society for Industrial and Applied Mathematics, Philadelphia (2005)
Arabas, J.: Lectures on evolutionary algorithms. WNT, Warsaw (2001) (in Polish)
Coello, C.A., Lamont, G.B., Van Veldhuizen, D.A.: Evolutionary algorithms for solving multi-objective problems. Springer, New York (2007)
Fortuna, I., Nunnari, G., Gallo, A.: Model order reduction techniques with Applications in electrical engineering. Springer, London (1992)
Grimme, E.: Krylov projection methods for model reduction. PhD thesis, University of Illinois at Urbana (1997)
Gugercin, S., Antoulas, A.: A comparative study of 7 algorithms for model reduction. In: 39th IEEE Conference on Decision and Control, vol. 3, pp. 2367–2372 (2000)
Heres, P.J.: Robust and efficient Krylov subspace methods for Model Order Reduction. PhD thesis, Eindhoven University of Technology (2005)
Krishna, B.T.: Studies on fractional order differentiators and integrators: A survey. Signal Processing 91(3), 386–426 (2011)
Liu, Y., Anderson, B.: Model reduction with time delay. IEE Proceedings of Control Theory and Applications 134(6), 349–367 (1987)
Moore, B.: Principal component analysis in linear systems: Controllability, observability and model reduction. IEEE Transactions on Automatic Control AC–26(1), 17–32 (1981)
Obinata, G., Anderson, B.: Model Reduction for Control System Design. Springer, London (2001)
Pan, I., Das, S.: Intelligent fractional order systems and control: An Introduction. Springer, Berlin (2013)
Rydel, M., Stanisławski, W.: Optimization of reduction parameters of svd based reduction methods for complex plant mimo lti models. Methods of Applied Computer Science 24(3), 197–220 (2010) (in Polish)
Rydel, M., Stanisławski, W.: Selection of reduction parameters of rational krylov methods for complex mimo lti models using the evolutionary algorithm. In: 19th International Conference on Methods and Models in Automation and Robotics (2014)
Stanisławski, R.: Advances in Modeling of Fractional Difference Systems - New Accuracy, Stability and Computational Results. Opole University of Technology Press, Opole (2013)
Stanisławski, R., Latawiec, K.J.: Stability analysis for discrete-time fractional-order LTI state-space systems. Part II: New stability criterion for FD-based systems. Bulletin of the Polish Academy of Sciences, Technical Sciences 61(2), 362–370 (2013)
Stanisławski, W.: Modelling and Computer simulation of flow Power Boilers. Opole University of Technology Press, Opole (2001) (in Polish)
Stanisławski, W., Rydel, M.: Hierarchical models of complex plants on basis of power boiler example. Archives of Control Sciences 20(LVI)(4), 381–416 (2010)
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Rydel, M., Stanisławski, R., Stanisławski, W., Latawiec, K.J. (2015). A Comparative Analysis of Selected Integer-Order and Noninteger-Order Linear Models of Complex Dynamical Systems. In: Latawiec, K., Łukaniszyn, M., Stanisławski, R. (eds) Advances in Modelling and Control of Non-integer-Order Systems. Lecture Notes in Electrical Engineering, vol 320. Springer, Cham. https://doi.org/10.1007/978-3-319-09900-2_9
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DOI: https://doi.org/10.1007/978-3-319-09900-2_9
Publisher Name: Springer, Cham
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Online ISBN: 978-3-319-09900-2
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