WSEAS Transactions on Systems and Control
Print ISSN: 1991-8763, E-ISSN: 2224-2856
Volume 13, 2018
An Improved Method for Simplification of the Large Scale Linear Time Invariant Control System
Authors: ,
Abstract: In this paper, we introduce a new clustering algorithm based on Lehmer measure for simplifying the order of large scale dynamical system. This algorithm is applied with the combined advantages of retaining the dominant poles and the Pade approximation. The dominant pole algorithm adapted to select poles to obtain the cluster centre. The selection of poles for the cluster is based on from the viewpoint of important poles contribution to the system is preserved by dominant pole algorithm. Having obtained the denominator polynomial of the reduced model, the numerator terms are obtained using the Pade approximation method. The reduction algorithm is fully computer oriented. The reduced model is stable if the original model is stable. Moreover, this method gives a better approximation in both the transient and the steady-state responses of the original system.
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Keywords: Order Reduction, Clustering, Lehmer measure, Dominant pole, Pade approximation, Integral Square Error
Pages: 96-102
WSEAS Transactions on Systems and Control, ISSN / E-ISSN: 1991-8763 / 2224-2856, Volume 13, 2018, Art. #12