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Technical University of Crete
Technical University of Crete
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| URI | http://purl.tuc.gr/dl/dias/320343EC-5A7F-4232-AA20-0CA76ADC3CAD | - |
| Identifier | https://ieeexplore.ieee.org/document/7798737/ | - |
| Identifier | https://doi.org/10.1109/CDC.2016.7798737 | - |
| Language | en | - |
| Extent | 6 pages | en |
| Title | Control of transport PDE/nonlinear ODE cascades with state-dependent propagation speed | en |
| Creator | Diagne Mamadou | en |
| Creator | Bekiaris-Liberis Nikolaos | en |
| Creator | Μπεκιαρης-Λυμπερης Νικολαος | el |
| Creator | Otto Andreas | en |
| Creator | Krstić, Miroslav | en |
| Publisher | Institute of Electrical and Electronics Engineers | en |
| Content Summary | In 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. | en |
| Type of Item | Πλήρης Δημοσίευση σε Συνέδριο | el |
| Type of Item | Conference Full Paper | en |
| License | http://creativecommons.org/licenses/by/4.0/ | en |
| Date of Item | 2018-07-02 | - |
| Date of Publication | 2016 | - |
| Subject | Actuators | en |
| Subject | Asymptotic stability | en |
| Subject | Backstepping | en |
| Subject | Delays | en |
| Subject | Metals | en |
| Subject | Nonlinear systems | en |
| Subject | Process control | en |
| Bibliographic Citation | M. Diagne, N. Bekiaris-Liberis, A. Otto and M. Krstic "Control of transport PDE/nonlinear ODE cascades with state-dependent propagation speed," in 55th IEEE Conference on Decision and Control, 2016, pp. 3125-3130. doi: 10.1109/CDC.2016.7798737 | en |
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