The Discrete Time H_∞ Control Problem with Measurement Feedback

This paper is concerned with the discrete time H_∞ control problem with measurement feedback. It follows that, as in the continuous time case, the existence of an internally stabilizing controller that makes the H_∞ norm strictly less than 1 is related to the existence of stabilizing solutions to two algebraic Riccati equations. However, in the discrete time case, the solutions of these algebraic Riccati equations must satisfy extra conditions.