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Institutional Repository [SANDBOX]
Technical University of Crete
Technical University of Crete
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| URI: | http://purl.tuc.gr/dl/dias/676CBE1C-6748-47B6-9569-27B9001C6E68 | ||
| Year | 2017 | ||
| Type of Item | Conference Full Paper | ||
| License |
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| Bibliographic Citation | M. Diagne, N. Bekiaris-Liberis and M. Krstic, "Compensation of input delay that depends on delayed input," in American Control Conference, 2017, pp. 5153-5158. doi: 10.23919/ACC.2017.7963754 https://doi.org/10.23919/ACC.2017.7963754 | ||
| Appears in Collections |
For nonlinear systems, we develop a PDE-based predictor-feedback control design, which compensates actuator dynamics, governed by a transport PDE with outlet boundary-value-dependent propagation velocity. Global asymptotic stability under the predictor-feedback control law is established assuming spatially uniform strictly positive transport velocity. The stability proof is based on a Lyapunov-like argument and employs an infinite-dimensional backstepping transformation that is introduced. The validity of the proposed controller is illustrated applying a predictor-feedback 'bang-bang' boundary control law to a PDE model of a production system with a queue. Consistent simulation results are provided that support the theoretical developments.
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