A generalized solution of H∞ control problems for preview and delayed systems
نویسنده
چکیده
Abstract—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 H control law is derived for the preview/delayed systems.
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Generalized preview and delayed H∞ control: output feedback case
A generalized H∞ control problem, which covers preview and delayed control strategies, is discussed in the output feedback setting. By introducing analytic solutions to the corresponding control/filtering operator Riccati equations, the solvability is clarified based on the fundamental solutions to ordinary differential equations. The solutions obtained here enable us to deal with important cla...
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