Abstract
Performance of preview control is investigated in terms of H∞ criterion. In the infinite-horizon time setting, we define a preview full-information (FI) problem and clarify the solvability and analytic solution in the framework of finite-dimensional operations. The necessary and sufficient condition of the solvability is characterized with the stabilizing solution to matrix Riccati equation. The control law is constructively given based on the matrix Riccati equation with finite-dimensional operation. The preview FI problem covers essential part of H∞ preview problems and enables to obtain analytic solutions for general problems.
