International Journal of Mathematical, Engineering and Management Sciences

ISSN: 2455-7749

Dominant Pole Based Approximation for Discrete Time System

Richa
Department of Electrical Engineering, Madan Mohan Malaviya University of Technology, Gorakhpur, India.

Awadhesh Kumar
Department of Electrical Engineering, Madan Mohan Malaviya University of Technology, Gorakhpur, India.

DOI https://dx.doi.org/10.33889/IJMEMS.2019.4.1-005

Received on March 11, 2018
  ;
Accepted on November 03, 2018

Abstract

This paper presents an effective procedure for model order reduction of discrete time control system. The exact model derived from complex dynamic systems proves to be very complicated for analysis, control and design. This necessity brings about using a tool known as model order reduction technique or model simplification. A novel mixed method has been implemented in this paper for reducing the order of the large scale dynamic discrete system. Dominant pole based pole clustering method has been used to derive the coefficients of denominator polynomial while Padé approximation has been applied to obtain the coefficients of numerator polynomial of the reduced order model. The proposed method is quite simple and able to generate a stable reduced order model from high order stable discrete systems. The dominancy of poles has been decided by values of the ratio of residue to its pole. The pole is considered dominant which have larger ratio value. An illustrative example has been considered to show the various reduction steps. The result obtained confirms the effectiveness of the approach.

Keywords- Dominant pole, Padé approximant, Pole clustering, Reduced order model, Residue based pole clustering.

Citation

Richa,& Kumar, A. (2019). Dominant Pole Based Approximation for Discrete Time System. International Journal of Mathematical, Engineering and Management Sciences, 4(1), 56-65. https://dx.doi.org/10.33889/IJMEMS.2019.4.1-005.

Conflict of Interest

The authors confirm that there is no conflict of interest to declare for this publication.

Acknowledgements

The authors would like to thank reviewers for their constructive comments and for their valuable suggestions towards the improvement of the paper.

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