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   <subfield code="a">A Rule-Based Approach for Second Order Model Formulation of Linear Time Invariant Multivariable Systems</subfield>
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   <subfield code="c">[S. Sivanandam, R. Venkatesan, J. Suganthi]</subfield>
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   <subfield code="a">A Rule-based approach for formulating a second order MIMO model for a given absolutely stable higher order MIMO system in transfer function matrix form is proposed. The Rule base has been built based on the performance characteristics of general second order systems. An initial second order approximant is constructed for each of the transfer functions in the matrix, based upon a set of guidelines that reflects the characteristics of the corresponding higher order systems. This is taken as input for the Rule based algorithm. Rules are iteratively applied so that a better second order approximant is evolved. Cumulative error index computed from the integral square error is used as the indicator for selecting the best second order model. An algebraic scheme has been proposed for commonizing the denominators of the individual second order models so that a second order MIMO model can be declared in the transfer function matrix form. The analysis is carried out in the s-domain. For discrete systems, a linear transformation of z=s+1 is used to obtain an equivalent continuous model in the s-domain. The proposed methodology is illustrated with two concrete examples taken from the literature.</subfield>
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