H^∞ Control for Preview and Delayed Strategies

Abstract

Achievable performance of preview and delayed control is investigated in terms of H^∞ criterion. We defined a generalized class of H^∞ problem, in which both control and disturbance involve multiple delays, and provide a check method of solvability based on a solution to matrix Riccati equation. The posed problem covers robust H^∞ preview control problem, the H^∞ control for multiple input delay systems, and further it enables to derive formulas of LQ control for multiple input delay systems.