Bilateral backstepping control of coupled linear parabolic PDEs with spatially varying coefficients

• Published in: Automatica (Oxford) Vol. 135; p. 109923
• Main Authors: Kerschbaum, Simon, Deutscher, Joachim
• Format: Journal Article
• Language: English
• Published: Elsevier Ltd 01.01.2022
• Subjects: Backstepping; Bilateral control; Boundary control; Distributed-parameter systems; Parabolic systems; Bilateral control; Boundary control; Backstepping; Parabolic systems; Distributed-parameter systems

This paper considers the backstepping state feedback control of coupled linear parabolic PDEs with spatially varying coefficients and bilateral actuation. By making use of the folding technique, a system representation with unilateral actuation is obtained, allowing to apply the standard backsteppin...