Robust Controller Design Using the Nevanlinna-Pick Interpolation in Gyro Stabilized Pod
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 zer...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2010-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2010/569850 |
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| _version_ | 1850157403508572160 |
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| author | Bin Liu Chang-Hong Wang Wei Li Zhuo Li |
| author_facet | Bin Liu Chang-Hong Wang Wei Li Zhuo Li |
| author_sort | Bin Liu |
| collection | DOAJ |
| description | 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 γ of S, 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. |
| format | Article |
| id | doaj-art-39555bebe1304fb29bc67b05c593bf81 |
| institution | OA Journals |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2010-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-39555bebe1304fb29bc67b05c593bf812025-08-20T02:24:09ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2010-01-01201010.1155/2010/569850569850Robust Controller Design Using the Nevanlinna-Pick Interpolation in Gyro Stabilized PodBin Liu0Chang-Hong Wang1Wei Li2Zhuo Li3Space Control and Inertial Technology Research Center, Harbin Institute of Technology, Harbin 150001, ChinaSpace Control and Inertial Technology Research Center, Harbin Institute of Technology, Harbin 150001, ChinaSpace Control and Inertial Technology Research Center, Harbin Institute of Technology, Harbin 150001, ChinaCollege of Earth Science, Northeast Petroleum University, Daqing 163318, ChinaThe 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 γ of S, 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.http://dx.doi.org/10.1155/2010/569850 |
| spellingShingle | Bin Liu Chang-Hong Wang Wei Li Zhuo Li Robust Controller Design Using the Nevanlinna-Pick Interpolation in Gyro Stabilized Pod Discrete Dynamics in Nature and Society |
| title | Robust Controller Design Using the Nevanlinna-Pick Interpolation in Gyro Stabilized Pod |
| title_full | Robust Controller Design Using the Nevanlinna-Pick Interpolation in Gyro Stabilized Pod |
| title_fullStr | Robust Controller Design Using the Nevanlinna-Pick Interpolation in Gyro Stabilized Pod |
| title_full_unstemmed | Robust Controller Design Using the Nevanlinna-Pick Interpolation in Gyro Stabilized Pod |
| title_short | Robust Controller Design Using the Nevanlinna-Pick Interpolation in Gyro Stabilized Pod |
| title_sort | robust controller design using the nevanlinna pick interpolation in gyro stabilized pod |
| url | http://dx.doi.org/10.1155/2010/569850 |
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