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Output-feedback control of an underactuated network of interconnected hyperbolic PDE-ODE systems

Abstract : 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.
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https://hal-centralesupelec.archives-ouvertes.fr/hal-03269701
Contributor : Jeanne Redaud Connect in order to contact the contributor
Submitted on : Thursday, June 24, 2021 - 11:23:42 AM
Last modification on : Wednesday, November 17, 2021 - 4:55:28 PM
Long-term archiving on: : Saturday, September 25, 2021 - 6:19:41 PM

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Jeanne Redaud, Jean Auriol, Silviu-Iulian Niculescu. Output-feedback control of an underactuated network of interconnected hyperbolic PDE-ODE systems. Systems and Control Letters, Elsevier, 2021, 154, ⟨10.1016/j.sysconle.2021.104984⟩. ⟨hal-03269701⟩

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