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N. K. Sinha and G. J. Lastman, “Reduced Order Models for Complex Systems-A Critical Survey,” IETE Technical Review, vol. 7, pp. 33-40, 1990/01/01 1990.

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Article

Model Order Reduction Using Routh Approximation and Cuckoo Search Algorithm

1Department of Electrical Engineering, Rajasthan Technical University, Kota, India


Journal of Automation and Control. 2016, Vol. 4 No. 1, 1-9
DOI: 10.12691/automation-4-1-1
Copyright © 2016 Science and Education Publishing

Cite this paper:
D. K. Sambariya, Omveer Sharma. Model Order Reduction Using Routh Approximation and Cuckoo Search Algorithm. Journal of Automation and Control. 2016; 4(1):1-9. doi: 10.12691/automation-4-1-1.

Correspondence to: D.  K. Sambariya, Department of Electrical Engineering, Rajasthan Technical University, Kota, India. Email: dsambariya_2003@gmail.com

Abstract

In this paper, a large order system is reduced by using the Cuckoo Search Algorithm (CSA) to a reduced order approximate model. The denominator coefficients of a desired reduced order system are determined by Routh approximation method while the numerator coefficients are determined using CSA based on integral square error minimization as an objective function pertaining to a unit step as input. The efficacy of the proposed method is tested with three SISO test systems to get a corresponding reduced order system and extended to a MIMO system. The results are satisfactory in terms of minimum error with the proposed method as compared to Routh Pade approximation and weighted sum multi-objective harmony search based reduced models.

Keywords