Adaptive output feedback control of feedforward nonlinear distributed delay systems with unknown delay kernel

Xianglei Jia, Xinkai Chen, Shengyuan Xu

Research output: Contribution to journalArticle

Abstract

This paper considers the problem of global adaptive output feedback regulation for a class of uncertain feedforward nonlinear distributed delay systems. Compared with the existing results, we reduce the conservatism of the restrictive conditions by combining the dynamic scaling technique and the backstepping method, in particular, uncertain control coefficients and unknown delay kernels are admitted. With the help of the Lyapunov–Krasovskii theorem, a delay-independent output feedback controller is proposed by constructing an input-driven observer with a novel dynamic gain, which guarantees that all the closed-loop signals are globally bounded while rendering the states of original system and the estimate states globally asymptotically to converge to zero as time goes to infinity. Finally, a numerical example is given to illustrate the usefulness of our results.

LanguageEnglish
Pages1-15
Number of pages15
JournalInternational Journal of Control
DOIs
StateAccepted/In press - 2016 Oct 1

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Feedback control
Feedback
Backstepping
Controllers

Keywords

  • distributed delay system
  • dynamic gain
  • feedforward
  • Output feedback regulation

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Science Applications

Cite this

Adaptive output feedback control of feedforward nonlinear distributed delay systems with unknown delay kernel. / Jia, Xianglei; Chen, Xinkai; Xu, Shengyuan.

In: International Journal of Control, 01.10.2016, p. 1-15.

Research output: Contribution to journalArticle

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