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Robust Controller Design Using the Nevanlinna-Pick Interpolation in Gyro Stabilized Pod

Author

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  • Bin Liu
  • Chang-Hong Wang
  • Wei Li
  • Zhuo Li

Abstract

The sensitivity minimization of feedback system is solved based on the theory of Nevanlinna-Pick interpolation with degree constraint without using weighting functions. More details of the dynamic characteristic of second-order system investigated, which is determined by the location of spectral zeroes, the upper bound of , the length of the spectral radius and the additional interpolation constraints. And the guidelines on how to tune the design parameters are provided. Gyro stabilized pod as a typical tracking system is studied, which is based on the typical structure of two-axis and four-frame. The robust controller is designed based on Nevanlinna-Pick interpolation with degree constraint. When both friction of LuGre model and disturbance exist, the closed-loop system has stronger disturbance rejection ability and high tracking precision. Numerical examples illustrate the potential of the method in designing robust controllers with relatively low degrees.

Suggested Citation

  • Bin Liu & Chang-Hong Wang & Wei Li & Zhuo Li, 2010. "Robust Controller Design Using the Nevanlinna-Pick Interpolation in Gyro Stabilized Pod," Discrete Dynamics in Nature and Society, Hindawi, vol. 2010, pages 1-16, December.
    • Handle: RePEc:hin:jnddns:569850
    DOI: 10.1155/2010/569850
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