ISS output feedback synthesis of disturbed reaction–diffusion processes using non-collocated sampled-in-space sensing and actuation. (December 2020)

• Record Type: Journal Article
• Authors: Orlov, Yury; Perez, Laetitia; Gomez, Oscar; Autrique, Laurent
• Is Part Of: Automatica. Volume 122(2020)
• Publication Date: 2020-12
• Subjects: Automatic control -- Periodicals; Automation -- Periodicals; 629.805
• DOI: 10.1016/j.automatica.2020.109257
• Languages: English
• ISSNs: 0005-1098

Abstract

Abstract: Linear proportional ISS synthesis of parabolic systems is developed within the practical framework of in-domain embedded sensing and actuation. The underlying system is affected by external disturbances and it is governed by a non-homogeneous reaction–diffusion PDE with a priori unknown spatially varying parameters. The present investigation focuses on practically motivated sampled-in-space sensing and actuation. A finite number of available sensing and actuating devices are assumed to be located along the one-dimensional spatial domain of interest. Tuning of the controller gains is then constructively developed by means of the Lyapunov approach to achieve a desired attenuation level for external distributed disturbances, affecting the system in question. Dual observer design is additionally developed within the present framework, and it is involved into the non-collocated output feedback synthesis. Theoretical results are supported by simulations made for the proposed synthesis over non-collocated sensing and actuation.