Parabolic matching of hyperbolic system using Control by Interconnection. Issue 1 (July 2017)

• Record Type: Journal Article
• Authors: Trang Vu, N.M.; Trenchant, V.; Ramirez, H.; Lefèvre, L.; Le Gorrec, Y.
• Is Part Of: IFAC-PapersOnLine. Volume 50:Issue 1(2017)
• Page Start: 5574
• Page End: 5579
• Publication Date: 2017-07
• Subjects: Port Hamiltonian systems (PHS) -- distributed parameters systems (DPS) -- Control by Interconnection (CbI) -- feedback equivalence with distributed control -- Interconnection -- Damping Assignment Passivity Based Control (IDA-PBC); Automatic control -- Periodicals; 629.805
• DOI: 10.1016/j.ifacol.2017.08.1101
• Languages: English
• ISSNs: 2405-8963

Abstract

Abstract: The structural difference between one-dimensional (1D) hyperbolic and parabolic port Hamiltonian system (PHS) is discussed. Then, using a Control by Interconnection (CbI) approach, a distributed state feedback is designed in order to transform an hyperbolic PHS into a parabolic one, the latter being asymptotically stable and even purely dissipative (with no oscillating modes). Distributed wave damping in 1D vibro-acoustic pipes, using piezo actuators, is considered as an illustration example for the proposed control design.