IJICA

Reduced Order Model of Position Control System

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Abstract

In this paper, simple approach is proposed to determine reduced order model of a unstable open-loop position control system. This approach is based on Krishnamurthy’s approach on Routh criterion on reduced order modelling. The results are simulated in Matlab environment.[1] Y. Shamash ,” Stable reduced order models using Pade type approximation,” IEEE Trans., Automat. Contr., vol. 19, pp. 615-616, 1974. [2] M. F. Hutton and B. Friedland, “ Routh approximations for reducing order of linear, timeinvariant systems,” IEEE Trans. Automat. Contr., vol. 20, pp. 329-337, 1975. [3] V. Krishnamurthy and V. Seshadri, “ Model reduction using the Routh stability criterion,” IEEE Trans. Automat. Contr., vol. 23, pp. 729- 730, 1978. [4] R. Prasad, S. P. Sharma and A. K. Mittal, “ Linear model reduction using the advantages of Mikhailov criterion and factor division,” Journal of Institution of Engineers, vol. 84, pp. 7-10, 2003. [5] T. N. Lucas, “ Biased model reduction by factor division,” Electronics Letters , vol. 20, p. 582, 1984. [6] J. Pal, “An algorithm method for the simplification of linear dynamic systems,” International Journal of Control, vol. 43, pp. 257, 1986. [7] Y. Shamash, “Truncation method of reduction: A viable alternative,” Electron. Lett., vol. 17, pp.97- 99, 1981. [8] S. Mukherjee and R. N. Mishra, “Order reduction of linear systems using an error minimization technique,” J. Frank. Inst., vol. 323, pp.23-32, 1987. [9] R. Parthasarthy and S. John ,” Cauer continued fraction methods for model reduction,” Electron. Lett., vol. 17, no. 21, pp. 792-793,1981. [10] A. M. Davidson, “Balanced systems and model reduction,” Electron.Lett., vol. 22, pp. 531-532, 1986. [11] G. D. Howitt and R. Luss, “ Model reduction by minimization of integral square error performance indices,” J. Frank. Inst., vol. 327, pp. 343-357, 1990. [12] M. Gopal, Control Systems (Principles and Design), Tata McGraw Hill, 2008. [13] D. R. Choudhury, Modern Control Engineering, Prentice Hall India, 2005.

Recommended Citation

[1] Y. Shamash ,” Stable reduced order models using

Pade type approximation,” IEEE Trans.,

Automat. Contr., vol. 19, pp. 615-616, 1974.

[2] M. F. Hutton and B. Friedland, “ Routh

approximations for reducing order of linear, timeinvariant

systems,” IEEE Trans. Automat. Contr.,

vol. 20, pp. 329-337, 1975.

[3] V. Krishnamurthy and V. Seshadri, “ Model

reduction using the Routh stability criterion,”

IEEE Trans. Automat. Contr., vol. 23, pp. 729-

730, 1978.

[4] R. Prasad, S. P. Sharma and A. K. Mittal, “

Linear model reduction using the advantages of

Mikhailov criterion and factor division,” Journal

of Institution of Engineers, vol. 84, pp. 7-10,

2003.

[5] T. N. Lucas, “ Biased model reduction by factor

division,” Electronics Letters , vol. 20, p. 582,

1984.

[6] J. Pal, “An algorithm method for the

simplification of linear dynamic systems,”

International Journal of Control, vol. 43, pp. 257,

1986.

[7] Y. Shamash, “Truncation method of reduction: A

viable alternative,” Electron. Lett., vol. 17, pp.97-

99, 1981.

[8] S. Mukherjee and R. N. Mishra, “Order reduction

of linear systems using an error minimization

technique,” J. Frank. Inst., vol. 323, pp.23-32,

1987.

[9] R. Parthasarthy and S. John ,” Cauer continued

fraction methods for model reduction,” Electron.

Lett., vol. 17, no. 21, pp. 792-793,1981.

[10] A. M. Davidson, “Balanced systems and model

reduction,” Electron.Lett., vol. 22, pp. 531-532,

1986.

[11] G. D. Howitt and R. Luss, “ Model reduction by

minimization of integral square error

performance indices,” J. Frank. Inst., vol. 327,

pp. 343-357, 1990.

[12] M. Gopal, Control Systems (Principles and

Design), Tata McGraw Hill, 2008.

[13] D. R. Choudhury, Modern Control Engineering,

Prentice Hall India, 2005.