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Conventional and Evolutionary Order Reduction Techniques for Complex Systems

Conventional and Evolutionary Order Reduction Techniques for Complex Systems

Abha Kumari, C. B. Vishwakarma
Copyright: © 2021 |Volume: 16 |Issue: 4 |Pages: 25
ISSN: 1554-1045|EISSN: 1554-1053|EISBN13: 9781799859772|DOI: 10.4018/IJITWE.2021100104
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MLA

Kumari, Abha, and C. B. Vishwakarma. "Conventional and Evolutionary Order Reduction Techniques for Complex Systems." IJITWE vol.16, no.4 2021: pp.74-98. http://doi.org/10.4018/IJITWE.2021100104

APA

Kumari, A. & Vishwakarma, C. B. (2021). Conventional and Evolutionary Order Reduction Techniques for Complex Systems. International Journal of Information Technology and Web Engineering (IJITWE), 16(4), 74-98. http://doi.org/10.4018/IJITWE.2021100104

Chicago

Kumari, Abha, and C. B. Vishwakarma. "Conventional and Evolutionary Order Reduction Techniques for Complex Systems," International Journal of Information Technology and Web Engineering (IJITWE) 16, no.4: 74-98. http://doi.org/10.4018/IJITWE.2021100104

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Abstract

Order reduction of the large-scale linear dynamic systems (LSLDSs) using stability equation technique mixed with the conventional and evolutionary techniques is presented in the paper. The reduced system (RS) is obtained by mixing the advantages of the two methods. For the conventional technique, the numerator of the RS is achieved by using the Pade approximations and improved Pade approximations, whereas the denominator is obtained by the stability equation technique (SET). For the evolutionary technique, numerator of the RS is obtained by minimizing the integral square error (ISE) between transient responses of the original and the RS using the genetic algorithm (GA), and the denominator is obtained by the stability equation method. The proposed RS retains almost all the essential properties of the original system (OS). The viability of the proposed technique is proved by comparing its time, frequency responses, time domain specifications, and ISE with the new and popular methods available in the literature.

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