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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 | ||
| Year | 2016 | ||
| Type of Item | Conference Full Paper | ||
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| 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 https://doi.org/10.1109/CDC.2016.7798737 | ||
| Appears in Collections |
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.
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