Higher order reduction of uncertain systems: Affine Arithmetic

Authors

  • H Mallesam dora Research Scholar, Department of Electrical, Andhra University, Visakhapatnam, Andhra Pradesh, India
  • Dr T Narasimhulu Assistant Professor, Anil Neerukonda Institute of Technology & Sciences, Visakhapatnam, Andhra Pradesh, India.
  • Prof. P Mallikarjunarao Professor, Department of Electrical, Andhra University, Visakhapatnam, Andhra Pradesh, India

Keywords:

Continuous, Discrete & MIMO Uncertain Systems. Modified Routh Approximation Method; Affine Arithmetic

Abstract

In this paper the Modified Routh Approximation (MRA) and Affine Arithmetic (AA) methods are investigates for obtaining the reduced order model (ROM) of SISO, discrete & MIMO uncertain systems into lower order system. Rigorous study and analysis of physical system direct to the outcome of systems with uncertainty instead of certain coefficients. Thus, systems having uncertain but bounded parameters known as uncertain systems are under consideration in this paper. An effective algorithm to determine the reduced order model is proposed here. This proposed methodology is verified using numerical examples available from the literature.

How to cite this article:
Dora HM, Narasimhulu T, Mallikarjunarao P. Higher Order Reduction of Uncertain Systems: Affine Arithmeti. J Adv Res Power Electro Power Sys 2021; 8(1&2): 1-4.

DOI: https://doi.org/10.24321/2456.1401.202101

References

Y. Shamash, “Continued Fraction Methods for the Reduction of Discrete Time Dynamic Systems,” International Journal of Control, vol. 20, p. 267-275, 1974.

Y. Dolgin and E. Zeheb, “On Routh-Padé model reduction of interval systems,” IEEE Transactions on Automation Control, vol. 48, No. 9, pp. 1610-1612, 200

.G.V.K.R. Sastry, G. Raja Rao and P. Mallikarjuna Rao Large scale interval system modelling using Routh approximants Electronics Letters 13th April 2000 Vol. 36 No. 8

Y.P. Shih,W.T.Wu and H.C.Chow,” Moments of Discrete Systems and Applications in Model Reduction,” The Chemical Engineering Journal, vol.20,p.26

-275,1974.

.Bendekal DV et al.,”The Moment and Pade approximate method Applied to the order reduction of MIMO Linear system”,Journal of Franklin. Vol .329, No.3, 1992.

.P.M.Rao et al., “A Method for reduction of MIMO system using Interlacing property and coefficient matching”, Int Journal of Computer application(0975-8887), Vol-1-No.9, 2010 pp 14-17.

. L.H.de Figueiredo a and J.Stolfib,”Affine arithmetic: concepts and applications”, Numerical Algorithms 37:147-158,2004.

. J.Stolfi, and L.H.de Figueiredo ,IMPA,”An Introduction to Affine Arithmetic”, TEMA Tend. Mat.Apl. comput .,4, No.3, 297-312,2003

Published

2021-05-20