Boundary control of reaction-diffusion equation with state-delay in the presence of saturation*

Wen Kang; Emilia Fridman

doi:10.1016/j.ifacol.2017.08.2120

Boundary control of reaction-diffusion equation with state-delay in the presence of saturation^*

Wen Kang, Emilia Fridman

Tel Aviv University

Research output: Contribution to journal › Article › peer-review

12 Citations (Scopus)

Abstract

The boundary stabilization for reaction-diffusion equation with state delay in the presence of actuator saturation is concerned. The state feedback is designed by using the backstepping method. We find a bound on the domain of attraction. The latter bound is based on Lyapunov method, whereas the exponential stability is proved by using Halanay's inequality. A numerical example validates the efficiency of the method.

Original language	English
Pages (from-to)	12002-12007
Number of pages	6
Journal	20th IFAC World Congress
Volume	50
Issue number	1
DOIs	https://doi.org/10.1016/j.ifacol.2017.08.2120
Publication status	Published - Jul 2017
Externally published	Yes

Keywords

Distributed parameter systems
actuator saturation
reaction-diffusion equation
time-delay

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10.1016/j.ifacol.2017.08.2120

Cite this

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abstract = "The boundary stabilization for reaction-diffusion equation with state delay in the presence of actuator saturation is concerned. The state feedback is designed by using the backstepping method. We find a bound on the domain of attraction. The latter bound is based on Lyapunov method, whereas the exponential stability is proved by using Halanay's inequality. A numerical example validates the efficiency of the method.",

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AB - The boundary stabilization for reaction-diffusion equation with state delay in the presence of actuator saturation is concerned. The state feedback is designed by using the backstepping method. We find a bound on the domain of attraction. The latter bound is based on Lyapunov method, whereas the exponential stability is proved by using Halanay's inequality. A numerical example validates the efficiency of the method.

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KW - reaction-diffusion equation

KW - time-delay

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Boundary control of reaction-diffusion equation with state-delay in the presence of saturation^*

Abstract

Keywords

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