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

Zhiyuan Zhen; Shu Xia Tang; Zhongcheng Zhou

doi:10.1002/asjc.1501

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

Zhiyuan Zhen, Shu Xia Tang, Zhongcheng Zhou

Mechanical Engineering

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	1834-1843
Number of pages	10
Journal	Asian Journal of Control
Volume	19
Issue number	5
DOIs	https://doi.org/10.1002/asjc.1501
State	Published - Sep 2017

Keywords

Cascaded heat-ODE
backstepping
intermediate point
stabilization

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10.1002/asjc.1501

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AB - 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.

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