Mean-square exponential stabilization of coupled hyperbolic systems with random parameters
Paper i proceeding, 2023

In this paper, we consider a system of two coupled scalar-valued hyperbolic partial differential equations (PDEs) with random parameters. We formulate a
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


Traffic flow

Traffic control

robust control


Jean Auriol

Mike Pereira

Chalmers, Elektroteknik, System- och reglerteknik

Balázs Adam Kulcsár

Chalmers, Elektroteknik, System- och reglerteknik

IFAC Proceedings Volumes (IFAC-PapersOnline)

14746670 (ISSN)

22nd IFAC World Congress
Yokohama, Japan,

STOchastic Traffic NEtworks (STONE)

Chalmers, 2020-02-01 -- 2022-01-31.

Chalmers AI-forskningscentrum (CHAIR), -- .






Annan elektroteknik och elektronik

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