%0 Journal Article %T Output-feedback control of an underactuated network of interconnected hyperbolic PDE-ODE systems %+ Laboratoire des signaux et systèmes (L2S) %+ Dynamical Interconnected Systems in COmplex Environments (DISCO) %A Redaud, Jeanne %A Auriol, Jean %A Niculescu, Silviu-Iulian %< avec comité de lecture %@ 0167-6911 %J Systems and Control Letters %I Elsevier %V 154 %8 2021-08 %D 2021 %R 10.1016/j.sysconle.2021.104984 %K backstepping %K PDEs networks %K time-delay systems %K networks %Z Mathematics [math] %Z Engineering Sciences [physics]Journal articles %X In this paper, the output feedback stabilization of an underactuated chain of scalar hyperbolic systems coupled at one end with a finite-dimensional system is addressed. As encountered in practical applications, only the first PDE subsystem is actuated. The measurements are collocated with the actuation. The proposed approach uses a recursive dynamics interconnection framework. More precisely, we first estimate (delayed) values of the states at each subsystem's boundaries. Then, we design a state-predictor that gives access to the boundary states' present and future values. It becomes finally possible to design a state-observer for the entire system. Combining this observer with a stabilizing state-feedback law, we can recursively design an output-feedback control law that stabilizes the whole chain. Some illustrative examples complete the presentation. %G English %2 https://centralesupelec.hal.science/hal-03269701/document %2 https://centralesupelec.hal.science/hal-03269701/file/SCL2021_vf.pdf %L hal-03269701 %U https://centralesupelec.hal.science/hal-03269701 %~ CNRS %~ INRIA %~ INRIA-SACLAY %~ SUP_LSS %~ INSMI %~ INRIA_TEST %~ SUP_SYSTEMES %~ TESTALAIN1 %~ CENTRALESUPELEC %~ INRIA2 %~ UNIV-PARIS-SACLAY %~ TEST-HALCNRS %~ UNIVERSITE-PARIS-SACLAY %~ GS-ENGINEERING %~ GS-COMPUTER-SCIENCE %~ GS-SPORT-HUMAN-MOVEMENT %~ DISCO-L2S %~ INRIAARTDOI