Sequential linear quadratic control of bilinear parabolic PDEs based on POD model reduction

DOI10.1016/j.automatica.2010.11.001zbMath1207.49025OpenAlexW2169096497MaRDI QIDQ627098

Chao Xu, Eugenio Schuster, Yongsheng Ou

Publication date: 21 February 2011

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2010.11.001

zbMATH Keywords

proper orthogonal decompositionbilinear optimal controliterative suboptimal controlparabolic PDE control

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Second-order parabolic systems (35K40)

Related Items (5)

\(\mathcal{H}_\infty\) stabilization of the current profile in tokamak plasmas via an LMI approach ⋮ Dynamic optimization of open-loop input signals for ramp-up current profiles in tokamak plasmas ⋮ Model reduction using proper orthogonal decomposition and predictive control of distributed reactor system ⋮ Optimal tracking for a divergent-type parabolic PDE system in current profile control ⋮ Boundary stabilization of a class of reaction-advection-diffusion systems via a gradient-based optimization approach

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