A simple approach for stability margin of discrete systems

被引：7

作者：

Hote Y.V. ^{[1
]}

Gupta J.R.P. ^{[2
]}

Choudhury D.R. ^{[3
]}

机构：

[1] Department of Electrical Engineering, Indian Institute of Technology (IIT)

[2] Department of Instrumentation and Control Engineering, Delhi University, New Delhi 110078, Dwarka

[3] Department of Information Technology (I.T.), M.A.I.T., New Delhi 110085, Sector-22, Rohini

来源：

Journal of Control Theory and Applications | 2011年 / 9卷 / 04期

关键词：

Discrete systems; Gerschgorin theorem; Power of companion matrix; Stability margin;

D O I：

10.1007/s11768-011-9141-3

中图分类号：

学科分类号：

摘要：

In this paper, a technique is presented to determine the stability margin of the discrete systems using recursive algorithm for power of companion matrix and Gerschgorin Theorem and hence sufficient condition of stability is obtained. The method is illustrated with an example and it is compared with other methods proposed in the literature. The results have applications in the filter design. © 2011 South China University of Technology, Academy of Mathematics and Systems Science, Chinese Academy of Sciences and Springer-Verlag Berlin Heidelberg.

引用

页码：567 / 570

页数：3

共 17 条

[1]

Choudhury D.R., Modern Control Engineering, (2005)

[2]

Tewari A., Modern Control Design, (2003)

[3]

Benke G., Wells B.B., Estimates for the stability of low-pass filters, IEEE Transactions on Acoustics, Speech, and Signal Processing, 33, 1, pp. 98-105, (1985)

[4]

Lu W., Design of recursive digital filters with prescribed stability margin: A parameterization approach, IEEE Transactions on Circuits and Systems-II: Analog and Digital Signal Processing, 45, 9, pp. 1289-1298, (1988)

[5]

Smith J.O., Introduction to Digital Filters with Audio Applications, (2007)

[6]

Reddy H.C., Ranjan P.K., Swamy M.N.S., A simple sufficient criterion for the stability of multidimensional filters, Proceedings of IEEE, 70, pp. 301-303, (1982)

[7]

Ghafoor A., Iqbal R.N., Khan S.A., Stability conditions for discrete domain characteristics polynomial, Proceedings of the 7th World Multiconference on Systems, Cybernetics and Informatics., 15, pp. 98-101, (2003)

[8]

Hertz H., Zeheb E., On the stability and instability of n dimensional discrete systems, IEEE Transactions on Automatic Control, 31, pp. 872-874, (1986)

[9]

Gerschgorin S., Ueber die abgrenzung der eigenwerte einer matrix, Izv, Akad. Nauk. SSSR Ser. Mat., 1, pp. 749-754, (1931)

[10]

Boese F.G., Luther W.J., A note on a classical bound for the moduli of all zeros of a polynomial, IEEE Transactions on Automatic Control, 34, 9, pp. 998-1001, (1989)

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