Simplification of MIMO Dynamic Systems using Differentiation and Cauer Second Form

Authors

  • CB Vishwakarma Electrical Engineering, School of Engineering, Gautam Buddha University, Greater Noida-201312, INDIA

DOI:

https://doi.org/10.26438/ijcse/v7i6.10881091

Keywords:

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

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.

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.

Downloads

Published

2019-06-30
CITATION
DOI: 10.26438/ijcse/v7i6.10881091
Published: 2019-06-30

How to Cite

[1]
V. CB, “Simplification of MIMO Dynamic Systems using Differentiation and Cauer Second Form”, Int. J. Comp. Sci. Eng., vol. 7, no. 6, pp. 1088–1091, Jun. 2019.

Issue

Vol. 7 No. 6 (2019): IJCSE June Edition

Section

Research Article

License

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Authors contributing to this journal agree to publish their articles under the Creative Commons Attribution 4.0 International License, allowing third parties to share their work (copy, distribute, transmit) and to adapt it, under the condition that the authors are given credit and that in the event of reuse or distribution, the terms of this license are made clear.