Volume 8 Number 1
February 2011
Article Contents
P. S. V. Nataraj and Shanta Sondur. Construction of Bode Envelopes Using REP Based Range Finding Algorithms. International Journal of Automation and Computing, vol. 8, no. 1, pp. 112-121, 2011. doi: 10.1007/s11633-010-0562-0
Cite as: P. S. V. Nataraj and Shanta Sondur. Construction of Bode Envelopes Using REP Based Range Finding Algorithms. International Journal of Automation and Computing, vol. 8, no. 1, pp. 112-121, 2011. doi: 10.1007/s11633-010-0562-0

Construction of Bode Envelopes Using REP Based Range Finding Algorithms

Author Biography:
  • Corresponding author: Shanta Sondur received the B.Eng.degree in instrumentation engineering from the Marathawada University,India in 1989
  • Received: 2009-11-26
通讯作者: 陈斌, bchen63@163.com
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Construction of Bode Envelopes Using REP Based Range Finding Algorithms

    Corresponding author: Shanta Sondur received the B.Eng.degree in instrumentation engineering from the Marathawada University,India in 1989

Abstract: The frequency domain analysis of systems is an important topic in control theory. Powerful graphical tools exist in classic control, such as the Nyquist plot, Bode plots, and Nichols chart. These methods have been widely used to evaluate the frequency domain behavior of system. A literature survey shows that various approaches are available for the computation of the frequency response of control systems under different types of parametric dependencies, such as affine, multi-linear, polynomial, etc. However, there is a lack of tools in the literature to construct the Bode envelopes for the general nonlinear type of parametric dependencies. In this paper, we address the problem of computation of the envelope of Bode frequency response of a non-rational transfer function with nonlinear parametric uncertainties varying over a box. We propose two techniques to compute the Bode envelopes:first, based on the natural interval extensions (NIE) combined with uniform subdivision and second, based on the existing Taylor model combined with subdivision strategy. We also propose the algorithms to further speed up both methods through extrapolation techniques.

P. S. V. Nataraj and Shanta Sondur. Construction of Bode Envelopes Using REP Based Range Finding Algorithms. International Journal of Automation and Computing, vol. 8, no. 1, pp. 112-121, 2011. doi: 10.1007/s11633-010-0562-0
Citation: P. S. V. Nataraj and Shanta Sondur. Construction of Bode Envelopes Using REP Based Range Finding Algorithms. International Journal of Automation and Computing, vol. 8, no. 1, pp. 112-121, 2011. doi: 10.1007/s11633-010-0562-0
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