Abstract
| 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 |
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The discrete time $H_\infty$ control problem with measurement feedback. / Stoorvogel, A.A.
In: SIAM Journal on Control and Optimization, Vol. 30, No. 1, 1992, p. 182-202.Research output: Contribution to journal › Article › Academic › peer-review
TY - JOUR
T1 - The discrete time $H_\infty$ control problem with measurement feedback
AU - Stoorvogel, A.A.
PY - 1992
Y1 - 1992
N2 - 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.
AB - 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.
U2 - 10.1137/0330012
DO - 10.1137/0330012
M3 - Article
VL - 30
SP - 182
EP - 202
JO - SIAM Journal on Control and Optimization
JF - SIAM Journal on Control and Optimization
SN - 0363-0129
IS - 1
ER -