Mean-square exponential stabilization of coupled hyperbolic systems with random parameters
Paper in 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
Probabilistic robustness
Control of hyperbolic systems and conservation laws
Backstepping control of distributed parameter systems
PDE
Traffic flow
Traffic control
robust control
Author
Jean Auriol
Mike Pereira
Chalmers, Electrical Engineering, Systems and control
Balázs Adam Kulcsár
Chalmers, Electrical Engineering, Systems and control
IFAC Proceedings Volumes (IFAC-PapersOnline)
14746670 (ISSN)
Yokohama, Japan,
STOchastic Traffic NEtworks (STONE)
Chalmers AI Research Centre (CHAIR), -- .
Chalmers, 2020-02-01 -- 2022-01-31.
Areas of Advance
Transport
Subject Categories
Computational Mathematics
Control Engineering
Other Electrical Engineering, Electronic Engineering, Information Engineering