Universal Journal of Engineering Science(CEASE PUBLICATION) Vol. 4(1), pp. 1 - 13
DOI: 10.13189/ujes.2016.040101
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Model Order Reduction by Routh Stability Array with Stability Equation Method for SISO and MIMO Systems

D. K. Sambariya ^*, A. S. Rajawat
Department of Electrical Engineering, Rajasthan Technical University, India

ABSTRACT

In this paper, the technique applicable to reduce a high-order system to a low-order system is presented. The methods used are Routh stability array (RSA) method and stability equation (SE) method to get the reduced model of systems. The application of the techniques is examined over SISO linear time invariant systems and extended to MIMO systems. The step response performance of the reduced models gets compared to the original system as well as reduced models in literature in terms of rise-time, settling-time, peak-time and peak of the system. The comparative study reveals that the performances of the reduced models using proposed RSA and SE methods are encouraging as compared to that of with reduced models in literature.

KEYWORDS
Linear Time Invariant (LTI), Model Order Reduction (MOR), Single-input Single-output (SISO) System, Multi-input Multi-output (MIMO), Routh Stability Array (RSA) Method, Stability Equation (SE) Method, High-order System (HOS)

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] D. K. Sambariya , A. S. Rajawat , "Model Order Reduction by Routh Stability Array with Stability Equation Method for SISO and MIMO Systems," Universal Journal of Engineering Science(CEASE PUBLICATION), Vol. 4, No. 1, pp. 1 - 13, 2016. DOI: 10.13189/ujes.2016.040101.

(b). APA Format:
D. K. Sambariya , A. S. Rajawat (2016). Model Order Reduction by Routh Stability Array with Stability Equation Method for SISO and MIMO Systems. Universal Journal of Engineering Science(CEASE PUBLICATION), 4(1), 1 - 13. DOI: 10.13189/ujes.2016.040101.