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

VL - 187

SP - 113

EP - 161

JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

SN - 0024-3795

ER -