An observer for pipeline flow with hydrogen blending in gas networks: exponential synchronization
DOI10.1137/23m1563840zbMATH Open1545.35093MaRDI QIDQ6585235
Publication date: 9 August 2024
Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)
Lyapunov functionEuler equationshydrogenexponential weightsgas transportation networkexponential synchronizationnode conditionsRiemann invariants. nodal observationsynchronization of solutions to PDEs
Control/observation systems governed by partial differential equations (93C20) Gas dynamics (general theory) (76N15) Observability (93B07) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Liquid-gas two-phase flows, bubbly flows (76T10) Euler equations (35Q31) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Classical solutions to PDEs (35A09) Initial-boundary value problems for first-order hyperbolic equations (35L04) PDEs on graphs and networks (ramified or polygonal spaces) (35R02) Transport equations (35Q49)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Stationary states in gas networks
- Stability and boundary stabilization of 1-D hyperbolic systems
- Boundary observer design for hyperbolic PDE-ODE cascade systems
- Numerical network models and entropy principles for isothermal junction flow
- Networks of pipelines for gas with nonconstant compressibility factor: stationary states
- Coupling conditions for gas networks governed by the isothermal Euler equations
- Exponential convergence of an observer based on partial field measurements for the wave equation
- Boundary observer design for cascaded ODE-hyperbolic PDE systems: a matrix inequalities approach
- Data assimilation for hyperbolic conservation laws: a Luenberger observer approach based on a kinetic description
- Boundary observers for linear and quasi-linear hyperbolic systems with application to flow control
- Exact controllability for nonautonomous first order quasilinear hyperbolic systems
- Gas Flow in Fan-Shaped Networks: Classical Solutions and Feedback Stabilization
- On the Cauchy Problem for the p-System at a Junction
- Exact Boundary Controllability for Quasi-Linear Hyperbolic Systems
- Lipschitz solutions of initial boundary value problems for balance laws
- Exponential synchronization of a nodal observer for a semilinear model for the flow in gas networks
- Boundary Feedback Control of 2×2 Quasilinear Hyperbolic Systems: Predictive Synthesis and Robustness Analysis
- Analysis of an observer strategy for initial state reconstruction of wave-like systems in unbounded domains
- Data assimilation of time under-sampled measurements using observers, the wave-like equation example
- A Strict Lyapunov Function for Boundary Control of Hyperbolic Systems of Conservation Laws
- EULER SYSTEM FOR COMPRESSIBLE FLUIDS AT A JUNCTION
- Exact boundary controllability of unsteady flows in a tree-like network of open canals
- Hyperbolic Conservation Laws in Continuum Physics
- Semi-global \(C^1\) solution to the mixed initial-boundary value problem for quasilinear hyperbolic systems
This page was built for publication: An observer for pipeline flow with hydrogen blending in gas networks: exponential synchronization
