Output Feedback Control of Coupled Linear Parabolic ODE-PDE-ODE Systems

This article deals with the backstepping design of observer-based compensators for parabolic ODE-PDE-ODE systems. The latter consist of \boldsymbol {n} coupled parabolic PDEs with distinct diffusion coefficients and spatially-varying coefficients, that are bidirectionally coupled to ODEs at both bou...

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Bibliographic Details
Published in:IEEE transactions on automatic control 2021-10, Vol.66 (10), p.4668-4683
Main Authors: Deutscher, Joachim, Gehring, Nicole
Format: Article
Language:English
Subjects:
Actuation
Backstepping
boundary control
Boundary value problems
Compensators
Control systems
Control theory
Decay rate
distributed-parameter systems
Feedback control
Feedback loops
Kernel
Mathematical model
Observers
ODE–PDE–ODE systems
Output feedback
Parabolic differential equations
parabolic systems
Partial differential equations
Sensors
State feedback
Systematics
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