A Riesz Basis Methodology for Proportional and Integral Output Regulation of a One-Dimensional Diffusive-Wave Equation

DOI10.1137/060671188zbMath1176.35023OpenAlexW2145315857MaRDI QIDQ3399245

Publication date: 29 September 2009

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/060671188

zbMATH Keywords

Riesz basis analytic semigroup dam-river system nondissipative closed-loop system proportional and integral boundary control

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Stability in context of PDEs (35B35) Initial-boundary value problems for second-order parabolic equations (35K20) One-parameter semigroups and linear evolution equations (47D06) Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10)

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Time-delayed feedback control of a hydraulic model governed by a diffusive wave system ⋮ Further results on the robust regulation of a one-dimensional dam-river system ⋮ Stability analysis and numerical simulations of a one dimensional open channel hydraulic system ⋮ Output regulation for linear distributed-parameter systems using finite-dimensional dual observers ⋮ Backstepping state feedback regulator design for an unstable reaction-diffusion PDE with long time delay ⋮ A thorough description of one-dimensional steady open channel flows using the notion of viscosity solution ⋮ State derivative-free variable structure model reference adaptive control of linear parabolic systems

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