TY - BOOK

T1 - The discrete time $H_\infty$ control problem : the full-information case

AU - Stoorvogel, A.A.

PY - 1989

Y1 - 1989

N2 - This paper is concerned with the discrete time, full-information $H_\infty$ control problem. It turns out that, as in the continuous time case, the existence of an internally stabilizing controller which makes the $H_\infty$ norm strictly less than 1 is related to the existence of a stabilizing solution to an algebraic Riccati equation. However the solution of this algebraic Riccati equation has to satisfy an extra condition. Moreover it is interesting to note that in general state feedbacks do not suffice and we have to include the disturbance in our feedback.
Keywords: Discrete time, Algebraic Riccati equation, $H_\infty$ control, Full information, Static feedback.

AB - This paper is concerned with the discrete time, full-information $H_\infty$ control problem. It turns out that, as in the continuous time case, the existence of an internally stabilizing controller which makes the $H_\infty$ norm strictly less than 1 is related to the existence of a stabilizing solution to an algebraic Riccati equation. However the solution of this algebraic Riccati equation has to satisfy an extra condition. Moreover it is interesting to note that in general state feedbacks do not suffice and we have to include the disturbance in our feedback.
Keywords: Discrete time, Algebraic Riccati equation, $H_\infty$ control, Full information, Static feedback.

M3 - Report

T3 - Memorandum COSOR

BT - The discrete time $H_\infty$ control problem : the full-information case

PB - Technische Universiteit Eindhoven

CY - Eindhoven

ER -