Title data
Grüne, Lars ; Meurer, Thomas:
Finitedimensional output stabilization for a class of linear distributed parameter systems : A smallgain approach.
In: Systems & Control Letters.
Vol. 164
(2022)
.
 No. 105237.
ISSN 18727956
DOI: https://doi.org/10.1016/j.sysconle.2022.105237
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Project information
Project title: 
Project's official title Project's id Model predictive PDE control for energy efficient building operation: economic model predictive control and time varying systems GR 1569/161 

Project financing: 
Deutsche Forschungsgemeinschaft 
Abstract in another language
A smallgain approach is proposed to analyze closedloop stability of linear diffusionreaction systems under finitedimensional observerbased state feedback control. For this, the decomposition of the infinitedimensional system into a finitedimensional slow subsystem used for design and an infinitedimensional residual fast subsystem is considered. The effect of observer spillover in terms of a particular (dynamic) interconnection of the subsystems is thoroughly analyzed for indomain and boundary control as well as sensing. This leads to the application of a smallgain theorem for interconnected systems based on inputtooutput stability and unbounded observability properties. Moreover, an approach is presented for the computation of the required dimension of the slow subsystem used for controller design. Simulation scenarios for both scalar and coupled linear diffusionreaction systems are used to underline the theoretical assessment and to give insight into the resulting properties of the interconnected systems.
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Finitedimensional output stabilization of linear diffusionreaction systems : a smallgain approach. (deposited 19 Apr 2021 11:56)
 Finitedimensional output stabilization for a class of linear distributed parameter systems : A smallgain approach. (deposited 09 May 2022 07:01) [Currently Displayed]