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

The paper considers a continuous-time H_∞ 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_∞ 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_∞ Riccati equation and a H_∞-like Riccati equation. Both of them are with the same dimensions as the system without preview information.