A Comparative Analysis of Selected Integer-Order and Noninteger-Order Linear Models of Complex Dynamical Systems

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.

[1]  PJ Pieter Heres,et al.  Robust and Efficient Krylov Subspace Methods for Model Order Reduction , 2005 .

[2]  Athanasios C. Antoulas,et al.  Approximation of Large-Scale Dynamical Systems , 2005, Advances in Design and Control.

[3]  Gary B. Lamont,et al.  Evolutionary Algorithms for Solving Multi-Objective Problems , 2002, Genetic Algorithms and Evolutionary Computation.

[4]  B. Moore Principal component analysis in linear systems: Controllability, observability, and model reduction , 1981 .

[5]  Marek Rydel,et al.  Hierarchical mathematical models of complex plants on the basis of power boiler example , 2010 .

[6]  B. T. Krishna Studies on fractional order differentiators and integrators: A survey , 2011, Signal Process..

[7]  Saptarshi Das,et al.  Intelligent Fractional Order Systems and Control - An Introduction , 2012, Studies in Computational Intelligence.

[8]  Krzysztof J. Latawiec,et al.  Stability analysis for discrete-time fractional-order LTI state-space systems. Part II: New stability criterion for FD-based systems , 2013 .

[9]  A. Antoulas,et al.  A comparative study of 7 algorithms for model reduction , 2000, Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187).

[10]  Eric James Grimme,et al.  Krylov Projection Methods for Model Reduction , 1997 .

[11]  B. Anderson,et al.  Model reduction with time delay , 1987 .

[12]  Luigi Fortuna,et al.  Model Order Reduction Techniques with Applications in Electrical Engineering , 1992 .

[13]  B. Anderson,et al.  Model reduction for control system design , 1984 .

[14]  Marek Rydel,et al.  Selection of reduction parameters of Rational Krylov methods for complex MIMO LTI models using evolutionary algorithm , 2014, 2014 19th International Conference on Methods and Models in Automation and Robotics (MMAR).