Institutional Repository
Technical University of Crete
Technical University of Crete
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| URI | http://purl.tuc.gr/dl/dias/5F38152B-80DC-422D-B019-7BDF0AF0BFC4 | - |
| Identifier | https://doi.org/10.23919/ECC.2018.8550318 | - |
| Language | en | - |
| Extent | 6 pages | en |
| Title | Control of nonlinear systems with actuator dynamics governed by quasilinear first order hyperbolic PDEs | en |
| Creator | Bekiaris-Liberis Nikolaos | en |
| Creator | Μπεκιαρης-Λυμπερης Νικολαος | el |
| Creator | Krstić, Miroslav | en |
| Publisher | Institute of Electrical and Electronics Engineers | 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. | en |
| Content Summary | We present a methodology for stabilization of general nonlinear systems with actuator dynamics governed by quasilinear transport PDEs. Since for such PDE-ODE cascades the speed of propagation depends on the PDE state itself (which implies that the prediction horizon cannot be a priori known analytically), the key design challenge is the determination of the predictor state. We resolve this challenge and introduce a PDE predictor-feedback control law that compensates the transport actuator dynamics. Due to the potential formation of shock waves in the solutions of quasilinear, first-order hyperbolic PDEs (which is related to the fundamental restriction for systems with time-varying delays that the delay rate is bounded by unity), we limit ourselves to a certain feasibility region around the origin and we show that the PDE predictor-feedback law achieves asymptotic stability of the closed-loop system, providing an estimate of its region of attraction. Our analysis combines Lyapunov-like arguments and ISS estimates. Since it may be intriguing as to what is the exact relation of the cascade to a system with input delay, we highlight the fact that the considered PDE-ODE cascade gives rise to a system with input delay, with a delay that depends on past input values (defined implicitly via a nonlinear equation). | en |
| Type of Item | Αφίσα σε Συνέδριο | el |
| Type of Item | Conference Poster | en |
| License | http://creativecommons.org/licenses/by/4.0/ | en |
| Date of Item | 2018-11-30 | - |
| Date of Publication | 2018 | - |
| Subject | Hyperbolic PDEs | en |
| Subject | Predictor feedback | en |
| Subject | PDE-ODE cascades | en |
| Bibliographic Citation | N. Bekiaris-Liberis and M. Krstic, "Control of nonlinear systems with actuator dynamics governed by quasilinear first order hyperbolic PDEs," in European Control Conference, 2018. doi: 10.23919/ECC.2018.8550318 | en |
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