Anticollocated Backstepping Observer Design for a Class of Coupled Reaction-Diffusion PDEs

Author:

Baccoli Antonello1ORCID,Pisano Alessandro1

Affiliation:

1. Department of Electrical and Electronic Engineering, University of Cagliari, 09123 Cagliari, Italy

Abstract

The state observation problem is tackled for a system ofncoupled reaction-diffusion PDEs, possessing the same diffusivity parameter and equipped with boundary sensing devices. Particularly, a backstepping-based observer is designed and the exponential stability of the error system is proven with an arbitrarily fast convergence rate. The transformation kernel matrix is derived in the explicit form by using the method of successive approximations, thereby yielding the observer gains in the explicit form, too. Simulation results support the effectiveness of the suggested design.

Funder

Sardinia Regional Government

Publisher

Hindawi Limited

Subject

Electrical and Electronic Engineering,Computer Science Applications,Modelling and Simulation

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