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A simple approach for stability margin of discrete systems

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Abstract

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.

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Authors and Affiliations

  1. Department of Electrical Engineering, Indian Institute of Technology (IIT), Roorkee, 247667, India

    Yogesh V. Hote

  2. Department of Instrumentation and Control Engineering, Delhi University, Dwarka, Sector-3, New Delhi, 110078, India

    J. R. P. Gupta

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

    D. Roy Choudhury

Authors
  1. Yogesh V. Hote
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  2. J. R. P. Gupta
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  3. D. Roy Choudhury
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Corresponding author

Correspondence to Yogesh V. Hote.

Additional information

Yogesh V. HOTE received his B.E. degree in Electrical Engineering from Government College of Engineering, Amravati, in 1998. Then, he received his M.E. degree in Control Systems, from Government College of Engineering, Pune, in 2000. He also received his Ph.D. degree in Instrumentation and Control Engineering, University of Delhi in 2009. His field of research includes robust control, robotics, numerical analysis, and power electronics.

J. R. P. GUPTA received his B.S. (Engg.) degree in Electrical Engineering from Muzaffarpur Institute of Technology, Muzaffarpur, and Ph.D. from University of Bihar in 1972 and 1983, respectively. His research interests include power electronics, electrical drives, and control theory.

D. Roy CHOUDHURY received his B.Tech. and M.Tech degrees in Radio Physics and Electronics from the Institute of Radio Physics and Electronics, University of Calcutta, Calcutta in 1965 and 1966, respectively. He has been awarded the degree of Doctor of Philosophy from the same university in 1971. His field of research includes control systems, digital communications, and biomedical engineering.

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Hote, Y.V., Gupta, J.R.P. & Choudhury, D.R. A simple approach for stability margin of discrete systems. J. Control Theory Appl. 9, 567–570 (2011). https://doi.org/10.1007/s11768-011-9141-3

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  • DOI: https://doi.org/10.1007/s11768-011-9141-3

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