A New Method for the Order Reduction of Multivariable Systems Using Bilinear Transformation and Time Moments Matching Technique

  • Authors

    • Dr. G.V.K.R. Sastry
    • Dr. G. Surya Kalyan
    • K. Tejeswara Rao
    https://doi.org/10.14419/ijet.v7i4.22.28696
  • Control Systems, Order Reduction, Multi Variable Systems

  • This paper proposes a new order reduction procedure for high order continuous-time MIMO systems.  The denominator of the low order model is obtained using a Bilinear transformation whereas the Moment matching method is used to obtain the numerator. The reduced order system obtained by this method gives better approximation than some of existing methods.

     

     

  • References

    1. [1] Mohd. Jamshid, “Large Scale Systems Modeling and Control Series†volume 9:Tata Mc –Grawhill,1983.

      [2] Y.Shamash “Multivariable systems Reduction via Model Method and Pade Approximation†IEEE Trans.Aut.contAC-20:pp 815-817,1975.

      [3] C.F.C “Model Reduction of Multivariable Control Systems by means of continued Fractionâ€Int..J. Contr., vol-20,pp 225-238,1974.

      [4] Shieh,L.S.,and Gaudino,F.F. “Matrix Continued Fraction Expansion and Inversion by the generalized Matrix Routh Algorithmâ€Int.J.Contr., vol 20,NO.2,pp 727-737,1974.

      [5] L.S.Shieh., and Y.J.Wei., “A Mixed method for Multivariable Systems Reduction†IEEE Trans. Aut. Contr.,vol AC-20,No-3,pp 429-432,1975.

      [6] Rajendra Prasad and Jayanta Pal.“Use of continued Fraction Expansion for Stable Reduction of linear Multivariable systems“ IE(I) journal-EI,vol-72,1991.

      [7] Pardhasaradhi, R., and Sarasu John. “Matrix Cauer Form for Linear Systems Reduction†Electronics letters, vol 14, no.15, 1975.

      [8] R. Pardhasaradhi and Sarasu John., “State Space Models using Modified Cauer Continued Fractionâ€proc.IEEE, 70 ,pp 300-301, 1982.

      [9] Chen C.F.,†Model Reduction of Multivariable Control systems by means of Matrix continued Fractionsâ€, International Journal of Control, vol.20, no.2, pg 225-238,1974.

      [10] R.Prasad, ‘Multivariable System Reduction using Model Methods and Pade Type Approximations’, Vol. 79, Journal of IE (I),pp 84-87,August 1998.

      [11] Sastry, G. V. K. R. and Krishnamurthy, V. ‘State-Space Models using Simplified Routh Approximation’, Electronic Letters I.E.E.(U.K.), (International Publications), Vol. 23, No. 24, Nov. 1987.

      [12] Sastry G.V.K.R. and P. Mallikarjuna Rao, “A New method for Modelling of large scale interval systemsâ€, IETE, Journal of Research, Vol. 49, No. 6, pp. 423-430,2003.

      [13] Sastry G.V.K.R. and K.V.R. Chakrapani, “A Simplified approach for biased model reduction of linear systems in special canonical formâ€, IETE Journal of Research, vol. 42. ,1996.

      [14] Sastry G.V.K.R. and Bhargava S. Chittamuri, “An Improved approach for Biased model reduction using impulse energy approximation techniqueâ€, IETE Journal of Research, vol. 40., 1995.

      [15] Sastry G.V.K.R. and G. Raja Rao, “A Simplified CFE method for large-Scale Systems Modelling about s = 0 and s = aâ€, IETE Journal of Research, vol. 47, No. 6, pp. 327-332, 2001.

      [16] Sastry G.V.K.R., G. Raja Rao and P. Mallikarjuna Rao,“Large scale interval system Modelling Using Routh Approximantsâ€, Electronics letters, Electronics Letters IEE, Vol. 36, No. 8. ,2000.

      [17] C.B.Vishwakarma and R.Prasad, “Clustering Method for Reducing Order of Linear System using Pade Approximation†IETE Journal of Research,Vol.54 ,Issue 5,Oct 2008.

      [18] S.K.Nagar and S.K. Singh ,An algorithmic approach for the system decomposition and balance realized model reduction, J. Franklin Inst.,Vol.341,pp615-630,2004

      [19] S.Mukherjee, Satakshi and R.C.Mittal ,Model order reduction using response matching technique, J.Franklin Inst.,Vol.342,pp503-519,2005.

      [20] Sastry. G.V.K.R., Surya Kalyan.G., Tejeswara Rao,K.,“ A Novel Approach for Order reduction of High order MIMO systems using Modified Routh Approximation Methodâ€, International Journal of control Theory and Applications, Vol.9, No.5 ,2016.

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  • How to Cite

    G.V.K.R. Sastry, D., G. Surya Kalyan, D., & Tejeswara Rao, K. (2018). A New Method for the Order Reduction of Multivariable Systems Using Bilinear Transformation and Time Moments Matching Technique. International Journal of Engineering & Technology, 7(4.22), 197-201. https://doi.org/10.14419/ijet.v7i4.22.28696