Institutional Repository
Technical University of Crete
Technical University of Crete
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| URI: | http://purl.tuc.gr/dl/dias/5CDFEBC8-E117-4179-9756-2AC79F2E704D | ||
| Year | 2018 | ||
| Type of Item | Peer-Reviewed Journal Publication | ||
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| Bibliographic Citation | N. Bekiaris-Liberis and M. Krstic, "Compensation of transport actuator dynamics with input-dependent moving controlled boundary," IEEE Trans. Automat. Contr., Early access, 2018. doi: 10.1109/TAC.2018.2800792 https://doi.org/ 10.1109/TAC.2018.2800792 | ||
| Appears in Collections |
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 the boundary values of the PDE state itself. In particular, we develop a predictor-feedbackcontrol 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-feedback control design for this representation as well.
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