Boundary stabilization of systems of high order PDEs arising from flexible robotics. Issue 2 (2020)

• Record Type: Journal Article
• Authors: Cristofaro, A.; Ferrante, F.
• Is Part Of: IFAC-PapersOnLine. Volume 53:Issue 2(2020)
• Page Start: 7807
• Page End: 7812
• Publication Date: 2020
• Subjects: Distributed parameter systems -- Boundary stabilization -- Lyapunov methods -- Linear matrix inequalities; Automatic control -- Periodicals; 629.805
• DOI: 10.1016/j.ifacol.2020.12.1876
• Languages: English
• ISSNs: 2405-8963

Abstract

Abstract: Stabilization of a system of coupled PDEs of the fourth-order by means of boundary control is investigated. The considered setup arises from the classical Euler-Bernoulli beam model, and constitutes a generalization of flexible mechanical systems. A linear feedback controller is proposed, and using an abstract formulation based on operator semigroup theory, we are able to prove the well-posedness and the stability of the closed-loop system. The performances of the proposed controller are illustrated by means of numerical simulations.