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Robust feedforward boundary control of hyperbolic conservation laws

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  • 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 fre- quency 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.
    Mathematics Subject Classification: Primary: 35B37, 93C20, 93C80, 35L65; Secondary: 35C05, 35Q35.

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