Stabilization of a Heat-ODE System Cascaded at a Boundary Point and an Intermediate Point

Zhiyuan Zhen, Shu Xia Tang, Zhongcheng Zhou

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

Abstract

This paper considers the stabilization of a heat-ODE system cascaded at a boundary point and an intermediate point. The stabilizing feedback control law is designed by the backstepping method. Based on a novel transformation, we prove that all the kernel functions in the forward and inverse transformations are of the class C2. Moreover, the effectiveness of controller design is shown with a numerical simulation. Finally, we show the coherence between the controllability assumption of the main theorem in this paper and the known one for a special case with λ=0.

Original languageEnglish
Pages (from-to)1834-1843
Number of pages10
JournalAsian Journal of Control
Volume19
Issue number5
DOIs
StatePublished - Sep 2017

Keywords

  • Cascaded heat-ODE
  • backstepping
  • intermediate point
  • stabilization

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