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Modification Algorithm on Routh-Pade Model Reduction of Interval Systems

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6838))

Abstract

By use of Routh approximation method and related reduction method to deal with the reduced-order problem, it is important to avoid or reduce the interval arithmetic expansion leading the failure of the stability criterion. Based on the feature of interval arithmetic and data consistency of Routh approximation, This note guarantees more effective calculation, and modifies interval arithmetic. The present arithmetic reduces the possibility of failure to maintain stability by interval arithmetic. A example is given to illustrate the method.

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References

  1. Bandyopadhyay, B., Ismail, O., Gorez, R.: Routh-Pade Approximation for Interval Systems. IEEE Trans. Auto. Contr. Vol. 39(12), 2454–2456 (1994)

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  2. Dolgin, Y., Zeheb, E.: On Routh-Pade Model Reduction of Interval Systems. IEEE Trans. Automat. Contr. 48(9), 1610–1612 (2003)

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  3. Yang, S.F.: Comments on “On Routh-Pade Model Reduction of Interval Systems”. IEEE Trans. Automat. Contr. 50(2), 273–274 (2005)

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De-Shuang Huang Yong Gan Vitoantonio Bevilacqua Juan Carlos Figueroa

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© 2011 Springer-Verlag Berlin Heidelberg

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Wang, Zz., Li, L., Wang, Xf. (2011). Modification Algorithm on Routh-Pade Model Reduction of Interval Systems. In: Huang, DS., Gan, Y., Bevilacqua, V., Figueroa, J.C. (eds) Advanced Intelligent Computing. ICIC 2011. Lecture Notes in Computer Science, vol 6838. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-24728-6_94

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  • DOI: https://doi.org/10.1007/978-3-642-24728-6_94

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-24727-9

  • Online ISBN: 978-3-642-24728-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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