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ADRC based input disturbance rejection for minimum-phase plants with unknown orders and/or uncertain relative degrees

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Abstract

The capability of ADRC is studied for linear time-invariant SISO minimum-phase systems with unknown orders, uncertain relative degrees, and unknown input disturbances. It is proved that ADRC can reject the unknown input disturbance and guarantee the close-loop stability for the plants with unknown but bounded relative degrees. Meanwhile, some close-loop performances can be achieved. The influence of the sensor noise is also discussed. And it is demonstrated by numerical examples that one ADRC with fixed parameters can be applied to a group of plants of different orders, relative degrees, and parameters.

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Authors and Affiliations

  1. School of Computer Science and Engineering, Chongqing Three Gorges University, Chongqing, 404100, China

    Chunzhe Zhao

  2. Key Laboratory of Systems and Control, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190, China

    Chunzhe Zhao & Yi Huang

Authors
  1. Chunzhe Zhao
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  2. Yi Huang
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Correspondence to Chunzhe Zhao.

Additional information

This research was supported by Natural Science Foundation of China under Grant Nos. 60821091 and 60736022.

This paper was recommended for publication by Editor Yiguang HONG.

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Zhao, C., Huang, Y. ADRC based input disturbance rejection for minimum-phase plants with unknown orders and/or uncertain relative degrees. J Syst Sci Complex 25, 625–640 (2012). https://doi.org/10.1007/s11424-012-1022-4

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  • DOI: https://doi.org/10.1007/s11424-012-1022-4

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