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Article Citation - WoS: 19Citation - Scopus: 27Obtaining Routh-Pade Approximants Using the Luus-Jaakola Algorithm(inst Engineering Technology-iet, 2005) Singh, VThe Routh-Pade approximation problem relating to the construction of a stable reduced-order (rth-order) approximant G(r)(s) for a given stable high-order (nth-order) transfer function G(s), so as to fully retain the first r time moments/Markov parameters of G(s) as well as to minimise the errors between a few subsequent time moments/Markov parameters of G(s) and those of G(r)(s), is revisited. For the solution of this problem, a novel computer-aided method based on the well known Luus-Jaakola algorithm is proposed.Article Citation - WoS: 14Citation - Scopus: 18Optimal Routh Approximants Through Integral Squared Error Minimisation: Computer-Aided Approach(inst Engineering Technology-iet, 2004) Singh, V; Chandra, D; Kar, HA computer-aided method for obtaining a reduced-order approximant of a given (stable) single-input single-output system based on the minimisation of integral squared error (ISE) pertaining to a unit-step input is presented. Both the numerator and denominator coefficients of the model are treated as free parameters in the process of optimisation. The method has a built-in stability-preserving feature. The problem of formulating the ISE is circumvented by introducing a set of equality constraints.

