Title data
Grüne, Lars ; Meurer, Thomas:
Finitedimensional output stabilization of linear diffusionreaction systems : a smallgain approach.
Bayreuth ; Kiel
,
2021
.  13 p.
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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.