Abstract
This paper is concerned with the discrete time $H_\infty $ 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_\infty $ 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.
Original language | English |
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Pages (from-to) | 182-202 |
Number of pages | 21 |
Journal | SIAM Journal on Control and Optimization |
Volume | 30 |
Issue number | 1 |
DOIs | |
Publication status | Published - 1992 |