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Simplification of MIMO Dynamic Systems using Differentiation and Cauer Second Form

C.B. Vishwakarma1

Section:Research Paper, Product Type: Journal Paper
Volume-7 , Issue-6 , Page no. 1088-1091, Jun-2019

CrossRef-DOI:   https://doi.org/10.26438/ijcse/v7i6.10881091

Online published on Jun 30, 2019

Copyright © C.B. Vishwakarma . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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IEEE Style Citation: C.B. Vishwakarma , “Simplification of MIMO Dynamic Systems using Differentiation and Cauer Second Form,” International Journal of Computer Sciences and Engineering, Vol.7, Issue.6, pp.1088-1091, 2019.

MLA Style Citation: C.B. Vishwakarma "Simplification of MIMO Dynamic Systems using Differentiation and Cauer Second Form." International Journal of Computer Sciences and Engineering 7.6 (2019): 1088-1091.

APA Style Citation: C.B. Vishwakarma , (2019). Simplification of MIMO Dynamic Systems using Differentiation and Cauer Second Form. International Journal of Computer Sciences and Engineering, 7(6), 1088-1091.

BibTex Style Citation:
@article{Vishwakarma_2019,
author = {C.B. Vishwakarma },
title = {Simplification of MIMO Dynamic Systems using Differentiation and Cauer Second Form},
journal = {International Journal of Computer Sciences and Engineering},
issue_date = {6 2019},
volume = {7},
Issue = {6},
month = {6},
year = {2019},
issn = {2347-2693},
pages = {1088-1091},
url = {https://www.ijcseonline.org/full_paper_view.php?paper_id=4685},
doi = {https://doi.org/10.26438/ijcse/v7i6.10881091}
publisher = {IJCSE, Indore, INDIA},
}

RIS Style Citation:
TY - JOUR
DO = {https://doi.org/10.26438/ijcse/v7i6.10881091}
UR - https://www.ijcseonline.org/full_paper_view.php?paper_id=4685
TI - Simplification of MIMO Dynamic Systems using Differentiation and Cauer Second Form
T2 - International Journal of Computer Sciences and Engineering
AU - C.B. Vishwakarma
PY - 2019
DA - 2019/06/30
PB - IJCSE, Indore, INDIA
SP - 1088-1091
IS - 6
VL - 7
SN - 2347-2693
ER -

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Abstract

A simplification method for multi-inputs and multi-outputs (MIMO) dynamic system via reducing the order of the original large-scale system is presented in this paper. The common denominator of the original system is reduced by using differentiation method while the numerator coefficients are obtained by applying Cauer second form. The proposed method is computationally simple and capable to retain the properties of the original system. The viability of the proposed method has been checked via one numerical example.

Key-Words / Index Term

Differentiation, Cauer Second Form, Order Reduction, Simplification, Stability

References

[1]. Jay Singh, Kalyan Chatterjee, C.B. Vishwakarma, “Reduced order modelling of linear dynamic systems”, ASME-Journals-2015-series: Advances C 70, pp. 71-85, 2015.
[2]. Sharad Kumar Tiwari, Gagandeep Kaur, “Model reduction by new clustering method and frequency response matching”, J Control Autom. Electr. Syst., 28, pp.78-85, 2017.
[3]. Jay Singh, C.B. Vishwakarma, Kalyan Chatterjee, “Biased reduction method by combining improved modified pole clustering and improved Pade approximations”, Applied Mathematical Modelling 40, 2016, pp. 1418-1426, 2015.
[4]. G. Parmar, S. Mukherjee, R. Prasad “System reduction using factor division algorithm and eigen spectrum analysis”, Applied Mathematical Modelling 31, pp. 2542-2552, 2007.
[5]. Shamash Y, “Linear system reduction using Pade approximation to allow retention of dominant modes”, International Journal of Control 21, 2 , pp. 257-272, 1975.
[6]. C.B. Vishwakarma,, R. Prasad “Time domain model order reduction using Hankel matrix approach”, Journal of Franklin Institute 351, pp. 3445-3456, 2014.
[7]. Rudy Eid and Boris Lohmann, “Moment matching model order reduction in time domain using Laguerre series”, Vol. 41, Isuue-2, pp. 3198-3203,2008.
[8]. C.B. Vishwakarma and R. Prasad, “Order reduction using the advantages of differentiation method and factor division”, Indian Journal of Engineering & Materials Sciences, Niscair, New Delhi, Vol. 15, No. 6, pp. 447-451, 2008.
[9]. G. Parmar et. al, “A mixed method for large-scale systems modelling using eigen spectrum analysis and cauer second form”, IETE Journal of Research, Vol. 53, No. 2, pp. 93-102, 2007.
[10]. Shamash Y., “Model reduction using minimal realization algorithm”, Electronics Letters, Vol. 11, No. 16, pp. 385-387, 1975.
[11]. C.B. Vishwakarma, “Model order reduction of linear dynamic systems for control systems design” Indian Institute of Technology Roorkee, Thesis, 2010.