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For the H∞ control problem of preview and delayed systems, a solvability condition and a control law are established in the output feedback setting. By employing the analytic solution of the corresponding operator Riccati equation, the solvability condition is characterized by maximal roots of transcendental equations. Furthermore it is shown that the control law for the general problem is constructed...
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...
This paper is concerned with stabilization of a linear system with distributed input delay and input saturation. Both constant and time-varying delays are considered. In the case that the input delay is constant, under the stabilizability assumption on an auxiliary system, it is shown that the system can be stabilized by state feedback for an arbitrarily large delay as long as the open-loop system...
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