Model Order Reduction Of Continuous Large Scale Systems: A Conglomerating Approach

Authors

  • Ankit Sachan IIT, BHU Varanasi, Uttar Pradesh,
  • Manish Kumar Sharma I.T.S. Engineering College, Greater Noida, Uttar Pradesh
  • Deepak Parashar B.S.A.C.E.T., Mathura, Uttar Pradesh

DOI:

https://doi.org/10.37628/jvdt.v2i1.266

Abstract

In this note, a method is presented for the order reduction of continuous approach for order reduction of complex discrete uncertain systems is proposed. Using Interval arithmetic Routh Stability arrays are formed to obtained numerator and denominator of reduced order model. The developed approach preserves the stability aspect of reduced system if higher order uncertain system is stable. A numerical example is included to illustrate the proposed algorithm along with the comparison with existing techniques. Keywords: Factor division, interval system, inverse distance measure, Kharitonov’s polynomials, Model reduction, pole-clustering method

Author Biographies

  • Ankit Sachan, IIT, BHU Varanasi, Uttar Pradesh,
    IIT, BHU Varanasi, Uttar Pradesh,
  • Manish Kumar Sharma, I.T.S. Engineering College, Greater Noida, Uttar Pradesh
    I.T.S. Engineering College, Greater Noida, Uttar Pradesh
  • Deepak Parashar, B.S.A.C.E.T., Mathura, Uttar Pradesh
    B.S.A.C.E.T., Mathura, Uttar Pradesh

References

Aoki M. Control of large-scale dynamic systems by aggregation. IEEE Trans. Auto. Cont. 1968; 13: 246–53p.

Baker G. A., Graves-Morris P. R. Padé approximants, Part-II: Extensions and Applications. London: Addison-Wesley, 1981.

Baker G. A. Essentials of Padé approximants. New York: Academic, 1975.

Bandyopadhyay B., Ismail O., Gorez R. Routh-Padé approximation for interval systems. IEEE Trans. Auto. Cont. 1994; 39(12): 2454–6p.

Bandyopadhyay B., Upadhye A., Ismail O. γ −δ Routh approximation for interval systems. IEEE Trans. on Automatic Control.1997; 42(8): 1127–30p.

Beyene W. T. Low-order rational approximation of interconnects using neural-network based pole-clustering techniques. IEEE International Symposium on Circuits and Systems (ISCAS 2007). 2007; 1501–4p.

Dolgin Y., Zeheb E. On Routh-Padé model reduction of interval systems. IEEE Trans. on Auto. Control. 2003; 48(9): 1610–2p.

Glover K. All optimal Hankel-norm approximants of linear multivariable systems and their H∞ error bounds. Int. Jr.Control. 1984; 39(6): 1115–93p.

Hutton M.F., Friedland B. Routh approximations for reducing the order of linear time-invariant systems. IEEE Trans. Autom. Control. 1975; 20: 329–37p.

Ismail O., Bandyopadhyay B. Model reduction of linear interval systems using Padé approximation. IEEE International symposium on Circuits and systems (ISCAS). 1995; 2: 1400–3p

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Published

2022-10-19

Issue

Vol. 2 No. 1 (2016)

Section

Articles