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A robust test of uncertain linear systems
Received:May 23,2007  Revised:September 9,2008
Keywords:Kharitonovs theorem  Robust stability  Routh criterion
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Yogesh V. HOTE , D. Roy CHOUDHURY, J. R. P. GUPTA Department of Instrumentation and Control Engineering, Delhi University, Dwarka, Sector-3, New Delhi-110078, India; Department of Computer Engineering, I. P. University, Kashmiri Gate, Delhi-110403, India 
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Abstract:
      In this paper, it is shown that for low-order uncertain systems, there is no need to calculate all the minimum and maximum values of the coefficients for a perturbed system which is expressed in terms of polynomials and hence no need to formulate and test all the four Kharitonovs polynomials. Furthermore, for higher-order systems such as n > 5, the usual four Kharitonovs polynomials need not be tested initially for sufficient condition of perturbed systems; rather, the necessary condition can be checked before going for sufficient condition. In order to show the effectiveness of the proposed method, numerical examples are shown and computational efficiency is highlighted.
Yogesh V. HOTE , D. Roy CHOUDHURY, J. R. P. GUPTA.A robust test of uncertain linear systems[J].Journal of Control Theory and Applications,2009,7(3):277~280.
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