A New Method for the Order Reduction of Multivariable Systems Using Bilinear Transformation and Time Moments Matching Technique
DOI:
https://doi.org/10.14419/ijet.v7i4.22.28696Keywords:
Control Systems, Order Reduction, Multi Variable SystemsAbstract
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.
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References
[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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Received date: March 31, 2019
Accepted date: March 31, 2019