Abstract—A multi-objective optimization based computer aided method to derive a reduced order (rth-order) approximant for given (stable) SISO linear continuous-time system is presented. In this method, stability and the first r time moments/Markov parameters are preserved as well as the errors between a set of subsequent time moments/Markov parameters of the system and those of the model are minimized. The method is useful as it alleviates the problems of deciding the values of number of error functions to be minimized and values of weights on the errors in arriving at good approximants.
Index Terms—Model reduction, Padé approximation, Routh criterion.
S. K. Mittal, Research Scholar, U. P. Technical University, Lucknow, India (e-mail: mittalsai@rediffmail.com). Dinesh Chandra is with the Department of Electrical Engineering, Motilal Nehru National Institute of Technology, Allahabad 211004, India (e-mail: dinuchandra@rediffmail.com).
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Cite: Shailendra K. Mittal, Dinesh Chandra and Bharti Dwivedi, "A Computer-Aided Approach for Routh-Padé Approximation of SISO Systems Based on Multiobjective Optimization,"
International Journal of Engineering and
Technology vol. 2, no. 2, pp. 204-210, 2010.
