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A Hyperbolic PDE-ODE System with Delay-Robust Stabilization

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A Hyperbolic PDE-ODE System with Delay-Robust Stabilization


R. Priyanka | S. Ramadevi

https://doi.org/10.31142/ijtsrd17157



R. Priyanka | S. Ramadevi "A Hyperbolic PDE-ODE System with Delay-Robust Stabilization" Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-2 | Issue-5, August 2018, pp.1988-1990, URL: https://www.ijtsrd.com/papers/ijtsrd17157.pdf

This paper is concerned with a new development of a delay-robust stabilizing feedback control law for linear ordinary differential equation coupled with two linear first order hyperbolic equations in the actuation path. A second change of variables that reduces the stabilization problem of the PDE-ODE system to that of a time-delay system for which a forecaster can be constructed. Hence, by choosing the pole placement on the ODE when constructing the forecaster, enabling a trade-off between convergence rate and delay-robustness. The proposed feedback law is finally proved to be robust to small delays in the actuation.

Hyperbolic partial differential equation, Time-delay systems, Stabilization.


IJTSRD17157
Volume-2 | Issue-5, August 2018
1988-1990
IJTSRD | www.ijtsrd.com | E-ISSN 2456-6470
Copyright © 2019 by author(s) and International Journal of Trend in Scientific Research and Development Journal. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (CC BY 4.0) (http://creativecommons.org/licenses/by/4.0)

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