文章基本信息

标题：Bilateral Output Feedback Control of Fractional PDEs with Space-Dependent Coefficients
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作者：Juan Chen ; Aleksei Tepljakov ; Eduard Petlenkov 等
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2020
卷号：53
期号：2
页码：3743-3748
DOI：10.1016/j.ifacol.2020.12.2555
语种：English
出版社：Elsevier
摘要：AbstractThis paper develops an extension of the bilateral control method for fractional partial differential equations (PDEs) with space-dependent coefficients by output feedback. Using a backstepping transformation, a full state feedback control law is designed. Then the fractional PDE system is folded into two subsystems and Mittag-Leffler convergent state observers of these subsystems are derived. Although the observers are coupled with boundary conditions (BCs), error subsystems are decoupled by assuming some available measurements. Hence, the observer gains are easily obtained. After this, we compose the designed state feedback controller and observers to enable Mittag-Leffler stabilization by output feedback. Finally, a fractional numerical example is provided to support the effectiveness of the proposed synthesis for the case when neither the control kernel nor the estimation kernel has an explicit solution.
关键词：KeywordsFractional PDEsbilateral output feedback controlspace-dependent coefficientsMittag-Leffler stabilitybackstepping