Robust feedforward boundary control of hyperbolic conservation laws | Zendy

Xavier Litrico | Zendy; Vincent Fromion | Zendy; Gérard Scorletti | Zendy

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Robust feedforward boundary control of hyperbolic conservation laws

Author(s) -

Xavier Litrico,

Vincent Fromion,

Gérard Scorletti

Publication year - 2007

Publication title -

networks and heterogeneous media

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.732

H-Index - 34

eISSN - 1556-181X

pISSN - 1556-1801

DOI - 10.3934/nhm.2007.2.717

Subject(s) - feed forward , conservation law , boundary (topology) , control theory (sociology) , controller (irrigation) , frequency domain , hyperbolic partial differential equation , partial differential equation , boundary value problem , mathematics , domain (mathematical analysis) , mathematical analysis , computer science , control (management) , engineering , control engineering , agronomy , artificial intelligence , biology

The paper proposes a feedforward boundary control to reject measured disturbances for systems modelled by hyperbolic partial differential equations obtained from conservation laws. The controller design is based on frequency domain methods. Perfect rejection of measured perturbations at one boundary is obtained by controlling the other boundary. This result is then extended to design robust open-loop controller when the model of the system is not perfectly known, e.g., in high frequencies. Frequency domain comparisons and time-domain simulations illustrates the good performance of the feedforward boundary controller

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