Brief H∞ performance of preview control systems

Authors:
Akira Kojima;Shintaro Ishijima
Affiliations:
Tokyo Metropolitan Institute of Technology, Asahigaoka 6-6, Hino-city, Tokyo 191-0065, Japan;Tokyo Metropolitan Institute of Technology, Asahigaoka 6-6, Hino-city, Tokyo 191-0065, Japan
Venue:
Automatica (Journal of IFAC)
Year:
2003

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Abstract

Performance of the preview control is investigated in terms of H^~-criterion. In the infinite-horizon time setting, the limitation of H^~ performance in preview control action is characterized with the Hamiltonian matrix. By employing the property of Hamiltonian matrix, the solvability and analytic solution for the preview full-information control problem are clarified based on an auxiliary introduced matrix Riccati equation. The property of resulting control law is illustrated with a numerical example.