Institutional Repository
Technical University of Crete
Technical University of Crete
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| URI | http://purl.tuc.gr/dl/dias/8FA38ADD-BEB3-43DB-AD46-4453BF1374DD | - |
| Identifier | https://doi.org/10.1016/j.automatica.2018.12.005 | - |
| Identifier | https://www.sciencedirect.com/science/article/pii/S0005109818306046 | - |
| Language | en | - |
| Extent | 9 pages | en |
| Title | Nonlinear bilateral output-feedback control for a class of viscous Hamilton–Jacobi PDEs | en |
| Creator | Bekiaris-Liberis Nikolaos | en |
| Creator | Μπεκιαρης-Λυμπερης Νικολαος | el |
| Creator | Vazquez Rafael | en |
| Publisher | Elsevier | en |
| Description | Nikolaos Bekiaris-Liberis was supported by the funding from the European Commission’s Horizon 2020 research and innovation programme under the Marie Sklodowska- Curie Grant Agreement No. 747898, project PADECOT. Rafael Vazquez acknowledges financial support of the Spanish Ministerio de Economia y Competitividad under grant MTM2015-65608-P. | en |
| Content Summary | We tackle the boundary control and estimation problems for a class of viscous Hamilton–Jacobi PDEs, considering bilateral actuation and sensing, i.e., at the two boundaries of a 1-D spatial domain. We first solve the nonlinear trajectory generation problem for this type of PDEs, providing the necessary feedforward actions at both boundaries. We then design an observer-based output-feedback control law, which consists of two main elements—a nonlinear observer that is constructed utilizing measurements from both boundaries and state-feedback laws, which are employed at the two boundary ends. All of our designs are explicit since they are constructed interlacing a feedback linearizing transformation with backstepping. Due to the fact that the linearizing transformation is locally invertible, only a regional stability result is established, combining this transformation with backstepping, suitably formulated to handle the case of bilateral actuation and sensing. We illustrate the developed methodologies via application to traffic flow control and we present consistent simulation results. | en |
| Type of Item | Peer-Reviewed Journal Publication | en |
| Type of Item | Δημοσίευση σε Περιοδικό με Κριτές | el |
| License | http://creativecommons.org/licenses/by/4.0/ | en |
| Date of Item | 2019-01-04 | - |
| Date of Publication | 2019 | - |
| Subject | Feedback linearization | en |
| Subject | Backstepping | en |
| Subject | Tracking | en |
| Subject | Boundary control | en |
| Subject | Infinite-dimensional systems | en |
| Bibliographic Citation | N. Bekiaris-Liberis and R. Vazquez, "Nonlinear bilateral output-feedback control for a class of viscous Hamilton–Jacobi PDEs", Automatica, vol. 101, pp. 223--231, Mar. 2019. doi: 10.1016/j.automatica.2018.12.005 | en |
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