H∞ control for continuous-time systems with multiple preview channels

The paper considers a continuous-time H<sub>∞</sub> control problem for the systems involving the multiple previewable disturbance channels and a unpreviewable disturbance channel. It aims to provide the complete solution based on a H<sub>∞</sub> Riccati equation with smaller level of attenuation. The variant structure disturbances and shift technique are our main tools. Finally, the results is given via the variant structure H<sub>∞</sub> Riccati equation and a H<sub>∞</sub>-like Riccati equation. Both of them are with the same dimensions as the system without preview information.

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