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Output regulation problem for a class of SISO infinite dimensional systems via a finite dimensional dynamic control

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Abstract

This paper deals with the output regulation problem for a class of SISO infinite dimensional systems with an uncertain exosystem. For these systems, a concept of relative degree is firstly introduced and used to construct a transformation which leads to the canonical form of output feedback systems. Then, based on this canonical form, by means of an internal model and a recursive adaptive control, the authors obtain an adaptive regulator which solves the problem. It should be pointed out that the proposed regulator is finite dimensional while it is usually infinite dimensional in existing literatures.

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Authors and Affiliations

  1. Department of Automation, University of Science and Technology of China, Hefei, 230027, China

    Xinghu Wang, Haibo Ji & Jie Sheng

Authors
  1. Xinghu Wang
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  2. Haibo Ji
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  3. Jie Sheng
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Corresponding author

Correspondence to Xinghu Wang.

Additional information

This research is supported by the National Natural Science Foundation of China under Grant No. 61273090.

This paper was recommended for publication by Editor HONG Yiguang.

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Wang, X., Ji, H. & Sheng, J. Output regulation problem for a class of SISO infinite dimensional systems via a finite dimensional dynamic control. J Syst Sci Complex 27, 1172–1191 (2014). https://doi.org/10.1007/s11424-014-2029-9

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  • DOI: https://doi.org/10.1007/s11424-014-2029-9

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