Mean-square exponential stabilization of coupled hyperbolic systems with random parameters
Paper i proceeding, 2023
stability condition under which the classical backstepping controller (designed for a nominal system whose parameters are constant) stabilizes the system. More precisely, we guarantee closed-loop mean-square exponential stability under random system parameter perturbations, provided the nominal parameters are sufficiently close to the stochastic ones on average. The proof is based on a Lyapunov analysis, the Lyapunov functional candidate describing the contraction of L2-norm of the system states. An illustrative traffic flow regulation example shows the viability and importance of the proposed result
Traffic flow
Probabilistic robustness
PDE
robust control
Backstepping control of distributed parameter systems
Control of hyperbolic systems and conservation laws
Traffic control
Författare
Jean Auriol
Université Paris-Saclay
Mike Pereira
Chalmers, Elektroteknik, System- och reglerteknik
Balázs Adam Kulcsár
Chalmers, Elektroteknik, System- och reglerteknik
IFAC-PapersOnLine
24058963 (eISSN)
Vol. 56 2 8153-8158Yokohama, Japan,
STOchastic Traffic NEtworks (STONE)
Chalmers AI-forskningscentrum (CHAIR), -- .
Chalmers, 2020-02-01 -- 2022-01-31.
Styrkeområden
Transport
Ämneskategorier
Beräkningsmatematik
Sannolikhetsteori och statistik
Reglerteknik
Annan elektroteknik och elektronik
DOI
10.1016/j.ifacol.2023.10.991