Adaptive Stabilization of $ 2 \times 2$ Linear Hyperbolic Systems With an Unknown Boundary Parameter From Collocated Sensing and Control

DOI10.1109/TAC.2017.2700387zbMath1390.93678OpenAlexW2611654829MaRDI QIDQ4566985

Publication date: 27 June 2018

Published in: IEEE Transactions on Automatic Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1109/tac.2017.2700387

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Adaptive or robust stabilization (93D21) Initial-boundary value problems for first-order hyperbolic systems (35L50)

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Adaptive set-point regulation of linear $n + 1$ hyperbolic systems with uncertain affine boundary condition using collocated sensing and control ⋮ Adaptive observer design for wave PDEs with nonlinear dynamics and parameter uncertainty ⋮ Finite‐time parameter estimation based boundary control for a class of 2×2 hyperbolic partial differential equation systems with uncertain transport speeds ⋮ Adaptive stabilization based on passive and swapping identifiers for a class of uncertain linearized Ginzburg–Landau equations ⋮ Stabilization and tracking control of a time-variant linear hyperbolic PIDE using backstepping ⋮ Regulation-triggered adaptive control of a hyperbolic PDE-ODE model with boundary interconnections ⋮ Output-feedback boundary adaptive fault-tolerant control for scalar hyperbolic partial differential equation systems with actuator faults ⋮ Adaptive observer design for uncertain nonlinear ODE-PDE cascades ⋮ Boundary stabilisation via event-triggered output-feedback for a class of 2 × 2 hyperbolic systems

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