Open Access Open Access  Restricted Access Subscription or Fee Access

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

Ankit Sachan, Manish Kumar Sharma, Deepak Parashar

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

Full Text:

PDF

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




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

Refbacks

  • There are currently no refbacks.