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: http://www.ijtsrd.com/papers/ijtsrd17157.pdf http://www.ijtsrd.com/mathemetics/other/17157/a-hyperbolic-pde-ode-system-with-delay-robust-stabilization/r-priyanka