TY - JOUR
T1 - The finite-horizon singular $H_\infty$ control problem with dynamic measurement feedback
AU - Stoorvogel, A.A.
AU - Trentelman, H.L.
PY - 1993
Y1 - 1993
N2 - This paper is concerned with the finite-horizon version of the H8 problem with measurement feedback. Given a finite-dimensional linear, time-varying system, together with a positive real number ¿, we obtain necessary and sufficient conditions for the existence of a possibly time-varying dynamic compensator such that the 2([0, t1])-induced norm of the closed-loop operator is smaller than ¿. These conditions are expressed in terms of a pair of quadratic differential inequalities, generalizing the well-known Riccati differential equations introduced recently in the context of finite-horizon H8 control.
AB - This paper is concerned with the finite-horizon version of the H8 problem with measurement feedback. Given a finite-dimensional linear, time-varying system, together with a positive real number ¿, we obtain necessary and sufficient conditions for the existence of a possibly time-varying dynamic compensator such that the 2([0, t1])-induced norm of the closed-loop operator is smaller than ¿. These conditions are expressed in terms of a pair of quadratic differential inequalities, generalizing the well-known Riccati differential equations introduced recently in the context of finite-horizon H8 control.
U2 - 10.1016/0024-3795(93)90132-8
DO - 10.1016/0024-3795(93)90132-8
M3 - Article
SN - 0024-3795
VL - 187
SP - 113
EP - 161
JO - Linear Algebra and Its Applications
JF - Linear Algebra and Its Applications
ER -