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 |
|---|---|
| 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 |