A Hyperbolic PDE ODE System with Delay Robust Stabilization

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. 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, URL: https://www.ijtsrd.com/papers/ijtsrd17157.pdf