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math.OC2021★ 1 cited
Global finite-dimensional observer-based stabilization of a semilinear heat equation with large input delay
Rami Katz, Emilia Fridman
We study global finite-dimensional observer-based stabilization of a semilinear 1D heat equation with globally Lipschitz semilinearity in the state variable. We consider Neumann ac…
math.OC2021
Finite-dimensional boundary control of the linear Kuramoto-Sivashinsky equation under point measurement with guaranteed -gain
Rami Katz, Emilia Fridman
Finite-dimensional observer-based controller design for PDEs is a challenging problem. Recently, such controllers were introduced for the 1D heat equation, under the assumption tha…
math.OC2021
Sub-predictors and classical predictors for finite-dimensional observer-based control of parabolic PDEs
Rami Katz, Emilia Fridman
We study constant input delay compensation by using finite-dimensional observer-based controllers in the case of the 1D heat equation. We consider Neumann actuation with nonlocal m…