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Preservation of Stability for Reduced Order Model of Large Scale Systems Using Differentiation Method

  • D. K. Sambariya
  • Hem Manohar

Journal of Advances in Mathematics and Computer Science, Page 1-17
DOI: 10.9734/BJMCS/2016/23082
Published: 1 January 2016

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Abstract


In this paper, higher order single-input and single-output models are considered for reduction using differentiation method. The analysis of higher order models is complex, and time consuming. The application of model order reduction is necessitated to reduce the system with its core properties. The analysis of a low order system is easy, and fast process. The higher order systems are reduced using differentiation method and the results are compared with original and the reduced systems in literature. The performance comparison of the proposed reduced order model and original as well as systems in literature have been considered in terms of settling time, rise time, peak and peak time. The application of proposed differentiation method is applied to discrete system and found equally good to retain the stability in reduced order model.


Keywords:
  • Reduced Order Model (ROM) techniques
  • differentiation method
  • stability equation eethod
  • stability array method.
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How to Cite

Sambariya, D. K., & Manohar, H. (2016). Preservation of Stability for Reduced Order Model of Large Scale Systems Using Differentiation Method. Journal of Advances in Mathematics and Computer Science, 13(6), 1-17. https://doi.org/10.9734/BJMCS/2016/23082
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