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Output regulation problem with prescribed performance for nonlinear lower-triangular system

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  • Haichao Zhu
  • Weiyao Lan

Abstract

This paper addresses the output regulation problem with prescribed performance for nonlinear lower-triangular systems. To achieve the transient prescribed performance, the output transformation technique and barrier Lyapunov function technique are introduced to solve the output regulation problem. The prescribed performance control scheme based on normal backstepping is constructed not only to restrict the output error of the closed-loop system keeping in a prescribed performance bound, but also to achieve that the output tracks a designed trajectory asymptotically. The effectiveness of the proposed method is illustrated by two simulation examples.

Suggested Citation

  • Haichao Zhu & Weiyao Lan, 2023. "Output regulation problem with prescribed performance for nonlinear lower-triangular system," International Journal of Systems Science, Taylor & Francis Journals, vol. 54(10), pages 2161-2174, July.
    • Handle: RePEc:taf:tsysxx:v:54:y:2023:i:10:p:2161-2174
    DOI: 10.1080/00207721.2023.2221233
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