Control of transport PDE/nonlinear ODE cascades with state-dependent propagation speedControl of transport PDE/nonlinear ODE cascades with state-dependent propagation speed Πλήρης Δημοσίευση σε Συνέδριο Conference Full Paper 2018-07-022016enIn this paper, we deal with the control of a transport PDE/nonlinear ODE cascade system in which the transport coefficient depends on the ODE state. We develop a PDE-based predictor-feedback boundary control law, which compensates the transport dynamics of the actuator and guarantees global asymptotic stability of the closed-loop system. The stability proof is based on an infinite-dimensional backstepping transformation that is introduced, with the aid of which, a Lyapunov functional is constructed. The relation of the PDE-ODE cascade to an ODE system with a state-dependent input delay, which is defined implicitly via an integral of the ODE state, is also highlighted and the corresponding equivalent predictor-feedback design is presented. The practical relevance of our control framework is illustrated in an example that is concerned with the control of a metal rolling process.http://creativecommons.org/licenses/by/4.0/3125-313055th IEEE Conference on Decision and Control, CDC 20162016 IEEE 55th Conference on Decision and Control Diagne Mamadou Bekiaris-Liberis Nikolaos Μπεκιαρης-Λυμπερης Νικολαος Otto Andreas Krstić, Miroslav Institute of Electrical and Electronics Engineers Actuators Asymptotic stability Backstepping Delays Metals Nonlinear systems Process control