A generalized solution of H∞ control problems for preview and delayed systems

For a broad class of H∞ preview/delayed control problems, a solvability condition is newly established based on an analytic solution of operator Riccati equation. The condition is characterized by maximal eigenvalue of a compact operator and enables us to overcome the limitation of existing methods. An H∞ control law is also clarified and some interpretation is provided based on the property of the analytic solution. Employing the advantage of proposed approach, a design method of H2 control law is derived for the preview/delayed systems.

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