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Dissipativity-based iterative learning control for singular systems

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  • Meiyu Zhang
  • Panpan Gu
  • Senping Tian

Abstract

In this paper, the framework of dissipativity-based iterative learning control for singular systems (SSs) is established for the first time. Firstly, under the P-type learning algorithm, it has been demonstrated that the dissipative SSs can achieve the accurate tracking for the desired trajectory in a finite time interval. Secondly, a sufficient condition for the SSs to satisfy dissipativity is given by using the linear matrix inequality (LMI) method, and the solvability criterion of the LMI is further presented. Moreover, the relationship between dissipativity and positive realness is revealed. Finally, two examples are given to verify the effectiveness of the proposed method.

Suggested Citation

  • Meiyu Zhang & Panpan Gu & Senping Tian, 2024. "Dissipativity-based iterative learning control for singular systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 55(7), pages 1410-1419, May.
    • Handle: RePEc:taf:tsysxx:v:55:y:2024:i:7:p:1410-1419
    DOI: 10.1080/00207721.2024.2307955
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