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Compensation of transport actuator dynamics with input-dependent moving controlled boundary

Bekiaris-Liberis Nikolaos, Krstić, Miroslav

Πλήρης Εγγραφή

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Περίληψη

We introduce and solve the stabilization problem of a transport PDE/nonlinear ODE cascade, in which the PDE state evolves on a domain whose length depends on theboundary values of the PDE state itself. In particular, we develop a predictor-feedback control design, which compensates such transport PDE dynamics. We prove local asymptotic stability of the closed-loop system in the C1 norm of the PDE state employing a Lyapunov-like argument and introducing a backstepping transformation. We also highlight the relation of the PDE-ODE cascade to a nonlinear system with input delay that depends on past input values and present the predictor-feedbackcontrol design for this representation as well.

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