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

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. (C) 2021 Elsevier B.V. All rights reserved.

Automated summary

This paper addresses the output feedback stabilization of a one-dimensional chain of scalar hyperbolic systems coupled with a finite-dimensional system at one end, using a recursive dynamics interconnection framework to design state predictor and observer for output feedback control.