文章基本信息

标题：Prescribed-time tracking for triangular systems of reaction-diffusion PDEs
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作者：Drew Steeves ; Leobardo Camacho-Solorio ; Mouhacine Benosman 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：7629-7634
DOI：10.1016/j.ifacol.2020.12.1363
语种：English
出版社：Elsevier
摘要：AbstractApproximate controllability of systems of coupled parabolic partial differential equations has been of interest for a few decades, where the existence of open-loop control laws performing approximate state transitions within a finite time is studied. In this work, we specialize to systems of reaction-diffusion equations where the connectivity structure is triangular in the reaction parameters and the controls appear at the boundary. We first generate controllers by combining a decoupling backstepping approach with differential flatness that allow us to generate admissible trajectories for system outputs from a given initial condition. As a byproduct of our approach, we achieve approximate state transitioning for the system within a finiteterminaltime. We enhance our control law by introducing time-varying error feedback controllers which reject variations in initial conditions within the terminal time. The resulting control law not only performs the approximate control task but also output trajectory tracking, all within the terminal time which can be prescribed independently of initial conditions.
关键词：KeywordsDistributed-parameter systemslinear systemstrajectory planningclosed-loop systemscontrollability