Boundary Feedback and Observer Synthesis for a Class of Nonlinear Parabolic--Elliptic PDE Systems

2025/07/16 by Fenza, Kamal, Labbadi, Moussa, Ouzahra, Mohamed · 1 citation
#Analysis of PDEs (math.AP) #FOS: Electrical engineering #FOS: Mathematics #Systems and Control (eess.SY) #electronic engineering #information engineering

paper · doi:10.48550/arxiv.2507.12615

Abstract

This paper investigates the stabilization of a coupled system comprising a parabolic PDE and an elliptic PDE with nonlinear terms. A rigorous backstepping design provides an explicit boundary control law and exponentially convergent observers from partial boundary measurements. Several theorems ensure exponential stability and well-posedness of the nonlinear closed-loop system.

Citations

• Boundary Control and Observer Design Via Backstepping for a Coupled Parabolic-Elliptic System

Cited by

• Sliding Mode Control for a Parabolic-Elliptic PDE System with Boundary Perturbation

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