Finite-dimensional observer-based boundary stabilization of reaction-diffusion equations with a either Dirichlet or Neumann boundary measurement
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In this article, the output feedback boundary control of reaction-diffusion PDEs with either distributed or boundary measurement by means of a finite-dimensional observer is investigated, and it is shown that a state-feedback combined with a finitedimensional observer can always be successfully designed in order to achieve the Dirichlet boundary stabilization.About:
This article is published in Automatica.The article was published on 2022-01-01 and is currently open access. It has received 19 citations till now. The article focuses on the topics: Neumann boundary condition & Boundary (topology).read more
Citations
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Predictor-based output feedback stabilization of an input delayed parabolic PDE with boundary measurement
TL;DR: In this paper , the authors considered the case of Dirichlet/Neumann/Robin boundary conditions for the both boundary control and boundary condition and showed that the control strategy achieves the exponential stabilization of the closed-loop system, provided the dimension of the observer is selected large enough.
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Boundary Output Feedback Stabilization of a Class of Reaction-Diffusion PDEs with Delayed Boundary Measurement
Hugo Lhachemi,Christophe Prieur +1 more
TL;DR: In this paper , the boundary output feedback stabilisation of a general class of 1-D reaction-diffusion PDEs with delayed boundary measurement is addressed. But the output delay can be arbitrarily large and the control strategy is composed of a finite-dimensional observer that is used to observe a delayed version of the first modes of the PDE and a predictor component that is employed to obtain the control input to be applied at the current time.
Journal ArticleDOI
Proportional Integral Regulation Control of a One-Dimensional Semilinear Wave Equation
TL;DR: In this paper , a 1-D semilinear wave equation (SWE) was used for PI regulation control, and the Neumann trace was used to trace Neumann traces.
Journal ArticleDOI
Finite-Dimensional Observer-Based PI Regulation Control of a Reaction–Diffusion Equation
TL;DR: In this paper , the output feedback setpoint regulation control of a reaction-diffusion equation by means of boundary control is investigated, and it is shown that the order of the finite-dimensional observer can always be selected large enough, with an explicit criterion, to achieve both the stabilization of the plant and the set point regulation of the system output.
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Local Output Feedback Stabilization of a Reaction–Diffusion Equation With Saturated Actuation
TL;DR: In this article , the output feedback stabilization of a reaction-diffusion equation by means of bounded control inputs in the presence of saturations is studied, and a set of conditions ensuring the stability of the closed-loop plant while estimating the associated domain of attraction is derived.
References
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