Multivariable boundary PI control and regulation of a fluid flow system

DOI10.3934/mcrf.2014.4.501zbMath1303.93095OpenAlexW2333711310MaRDI QIDQ2513777

Cheng-Zhong Xu, Gauthier Sallet

Publication date: 28 January 2015

Published in: Mathematical Control and Related Fields (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/mcrf.2014.4.501

zbMATH Keywords

robust stabilizationexponential stabilityhyperbolic partial differential equationsspectrum assignmentspatially heterogeneous equilibrium states

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Stabilization of systems by feedback (93D15) PDEs in connection with fluid mechanics (35Q35) Lyapunov and storage functions (93D30) Eigenvalue problems (93B60) Asymptotic stability in control theory (93D20) Adaptive or robust stabilization (93D21)

Related Items (11)

Stabilization of the linearized water tank system ⋮ Integral action for setpoint regulation control of a reaction-diffusion equation in the presence of a state delay ⋮ ISS Lyapunov Strictification via Observer Design and Integral Action Control for a Korteweg–de Vries Equation ⋮ Boundary PID output regulation for Euler-Bernoulli beam equation ⋮ Output tracking and disturbance rejection for 1-D anti-stable wave equation ⋮ Boundary stabilization for axially moving Kirchhoff string under fractional PI control ⋮ PI boundary control of linear hyperbolic balance laws with stabilization of ARZ traffic flow models ⋮ Local Proportional-Integral Boundary Feedback Stabilization for Quasilinear Hyperbolic Systems of Balance Laws ⋮ Stability and Robust Regulation of Passive Linear Systems ⋮ PI controllers for the general Saint-Venant equations ⋮ Proportional Integral Regulation Control of a One-Dimensional Semilinear Wave Equation

Cites Work

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