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Model Reduction of Linear Systems by PSO Technique based on ISE, Circumvented by Equality Constraints

U. Salma*, K. Vaisakh**, ***

* Associate Professor, Department of Electrical and Electronics Engineering, GITAM University, Visakhapatnam.

** Professor, Department of Electrical Engineering, AU College of Engineering, Andhra University, Visakhapatnam, Andhra Pradesh.

*** P.G.Student, Department of Electrical Engineering, A.U.College of Engineering, Andhra University, Visakhapatnam.

Periodicity:April - June'2011
DOI : https://doi.org/10.26634/jee.4.4.1458

Abstract

In this paper Particle Swarm Optimization (PSO) technique for obtaining a reduced order approximation of a single-input single-output system based on minimization of integral squared error (ISE) pertaining to a unit step input is proposed. Unlike the conventional method, ISE is circumvented by equality constraints after expressing it in frequency domain using Parseval’s theorem. Some more existing conventional reduction techniques are also considered and compared with the proposed method through a numerical example to show the validity of the proposed method.

Keywords

Reduced order model, Parseval’s theorem, Routh-approximation, Routh Stability Criterion, Particle Swarm Optimization, Integral squared error

How to Cite this Article?

U. Salma, K. Vaisakh and G. Murali Krishna (2011). Model Reduction of Linear Systems by PSO Technique based on ISE, Circumvented by Equality Constraints. i-manager’s Journal on Electrical Engineering, 4(4), 26-30. https://doi.org/10.26634/jee.4.4.1458

References

[1]. Singh, V., Chandra, D., & Kar, H. (2004). “Optimal Routh approximants through integral squared error minimisation: Computer- aided approach, “IEE Proc., Contr. Theory Appl., Vol. 151,No.1 pp. 53-58.

[2]. Kennedy, J., &. Eberhart, R. C. (1995). “Particle swarm optimization”, IEEE Int.Conf. on Neural Networks, IV, 1942- 1948, Piscataway, NJ,

[3]. Krishnamurthy, V., & Seshadri, V. (1978). “Model Reduction using the Routh stability criterion”, IEEE Trans. Automat. Control, Vol. AC-23, No. 4, pp. 729-731, August.

[4]. Hutton, M. F., & Friedland, B. (1975). “Routh approximation for reducing order of linear, time invariant systems”, IEEE Trans. Automat Control, Vol. AC-20, No. 3, pp. 329-337, June.

[5]. A Text book “Power System Analysis” by Hadi Saadat, 2 Edition ,McGraw-Hill Primis Custom Publishing.

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Model Reduction of Linear Systems by PSO Technique based on ISE, Circumvented by Equality Constraints

Abstract

Keywords

How to Cite this Article?

References

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