文章基本信息

标题：Design of saturated controls for an unstable parabolic PDE
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作者：Andrii Mironchenko ; Christophe Prieur ; Fabian Wirth 等
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2019
卷号：52
期号：16
页码：310-315
DOI：10.1016/j.ifacol.2019.11.797
语种：English
出版社：Elsevier
摘要：We derive a saturated feedback control, which locally stabilizes a linear reaction-diffusion equation. In contrast to most other works on this topic, we do not assume Lyapunov stability of the uncontrolled system, and consider general unstable systems. Using Lyapunov methods, we provide estimates for the region of attraction for the closed-loop system, given in terms of linear and bilinear matrix inequalities. We show that our results can be used with distributed as well as scalar boundary control. The efficiency of the proposed method is demonstrated by means of a numerical simulation.
关键词：KeywordsNonlinear control systemspartial differential equationsreaction-diffusion equationsaturated controlstabilizationattraction region