Output-feedback control of an underactuated network of interconnected hyperbolic PDE-ODE systems - CentraleSupélec Access content directly
Journal Articles Systems and Control Letters Year : 2021

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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Dates and versions

hal-03269701 , version 1 (24-06-2021)

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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, 2021, 154, ⟨10.1016/j.sysconle.2021.104984⟩. ⟨hal-03269701⟩
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