Model Order Reduction of Interval Systems using Differentiation Method and Big Bang-Big Crunch Algorithm

P. Boby and J. Pal (India)


Interval systems, Kharitonov polynomials, modelreduction, Big Bang- Big Crunch optimization


A method of model reduction for reducing a high-order interval system to its low-order models using differentiation and Big Bang-Big Crunch Optimization is proposed. The low order denominator interval polynomial is formed using and repeated differentiation method of model reduction of Kharitonov polynomials. The numerator polynomial of the reduced model is found using recently developed Big Bang – Big Crunch optimization algorithm. The method is illustrated with the help of benchmark problems available in literature. It is observed that it gives comparatively better results than existing methods. Moreover the method is computationally simpler.

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