Ιδρυματικό Αποθετήριο
Πολυτεχνείο Κρήτης
Πολυτεχνείο Κρήτης
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| URI: | http://purl.tuc.gr/dl/dias/00C80ABA-6024-419E-AA64-35AB3DE26E54 | ||
| Έτος | 2025 | ||
| Τύπος | Πλήρης Δημοσίευση σε Συνέδριο | ||
| Άδεια Χρήσης |
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| Βιβλιογραφική Αναφορά | J.-P. Humaloja and N. Bekiaris-Liberis, "Observer-based output-feedback stabilization of continua of linear hyperbolic PDEs using backstepping," IFAC Workshop on Control of Systems Governed by Partial Differential Equations- CPDE 2025, Beijing, China, 2025. https://doi.org/10.1016/j.ifacol.2025.08.081 | ||
| Εμφανίζεται στις Συλλογές |
We develop a boundary observer design for a class of continua of linear hyperbolic PDE systems, which are viewed as the continuum version of n + m general heterodirectional hyperbolic systems as n to ∞. The design relies on the introduction of a novel, continuumPDE backstepping transformation, which enables the construction of a Lyapunov functional forthe estimation error system. We then introduce the respective non-collocated, output-feedbackdesign employing the stabilizing continuum control kernels from Humaloja and Bekiaris-Liberis[2024]. (The observer-based output-feedback stabilization problem for the class of ∞ + 1hyperbolic systems can be solved as special case of the design procedure presented here.)Stability under the observer-based output-feedback law is established by using the Lyapunovfunctional construction for the estimation error system and proving well-posedness of thecomplete closed-loop system, which allows utilization of the separation principle. We illustratethe output-feedback design in simulation, via a numerical example for which the control andobserver kernels can be computed in closed form.
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