ORDER REDUCTION BY MINIMIZING INTEGRAL SQUARE ERROR AND H∞ NORM OF ERROR

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NASIRI SOLOKLO HASAN; MAGHFOORI FARSANGI MALIHE

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Paper Information

Journal: JOURNAL OF ADVANCES IN COMPUTER RESEARCH Year:2014 | Volume:5 | Issue:1 (15) Page(s): 29-42

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Title

ORDER REDUCTION BY MINIMIZING INTEGRAL SQUARE ERROR AND H∞ NORM OF ERROR

Author(s)

NASIRI SOLOKLO HASAN | MAGHFOORI FARSANGI MALIHE | Issue Writer Certificate

Keywords

HARMONY SEARCH

MODEL REDUCTION

ROUTH CRITERION

H∞ NORM

INTEGRAL SQUARE ERROR

Abstract

In this paper, a new alternative method for order reduction of high order systems is presented based on optimization of multi objective fitness function by using HARMONY SEARCH algorithm. At first, step response of full order system is obtained as a vector, then, a suitable fixed structure considered for model order reduction which order of original system is bigger than fixed structure model. Parameters of model order reduction are determined by minimizing the multi objective fitness function where the fitness function is conducted with INTEGRAL SQUARE ERROR and H¥ norm of error. The HARMONY SEARCH algorithm is applied for minimizing the multi objective fitness function. To assure the stability, the ROUTH CRITERION is applied for specifying the stability conditions. This stability condition is considered as constraints in optimization problem. To present the accuracy of the proposed method, three test systems are reduced. The obtained results show that the proposed approach performs very well.

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APA: Copy

NASIRI SOLOKLO, HASAN, & MAGHFOORI FARSANGI, MALIHE. (2014). ORDER REDUCTION BY MINIMIZING INTEGRAL SQUARE ERROR AND H∞ NORM OF ERROR. JOURNAL OF ADVANCES IN COMPUTER RESEARCH, 5(1 (15)), 29-42. SID. https://sid.ir/paper/328751/en

Vancouver: Copy

NASIRI SOLOKLO HASAN, MAGHFOORI FARSANGI MALIHE. ORDER REDUCTION BY MINIMIZING INTEGRAL SQUARE ERROR AND H∞ NORM OF ERROR. JOURNAL OF ADVANCES IN COMPUTER RESEARCH[Internet]. 2014;5(1 (15)):29-42. Available from: https://sid.ir/paper/328751/en

IEEE: Copy

HASAN NASIRI SOLOKLO, and MALIHE MAGHFOORI FARSANGI, “ORDER REDUCTION BY MINIMIZING INTEGRAL SQUARE ERROR AND H∞ NORM OF ERROR,” JOURNAL OF ADVANCES IN COMPUTER RESEARCH, vol. 5, no. 1 (15), pp. 29–42, 2014, [Online]. Available: https://sid.ir/paper/328751/en

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