H(sub infinity symbol) Control with Measurement-Feedback for Pritchard-Salamon Systems

摘要

The paper extends the finite-dimensional results for the H-infinity-control problem with measurement-feedback to a large class of infinite-dimensional systems, allowing for a certain type of unboundedness in the input and output operators (the Pritchard-Salamon class). The main result of the paper relates the solvability of the sub-optimal H-infinity-control problem to the existence of stabilizing solutions to certain operator Riccati equations. Furthermore, a characterization of all sub-optimal controllers is given.