Necessary Solvability Conditions for Multiparameter Riccati Equations in the Robust Output Feedback H~∞-Control Problem

摘要

We consider a controlled object of the form x = Ax + B_1v + B_2u, z = C_1x + D_(12)u; y = C_2x + D_(21)v, (1) where x, v, u, z, and y are the vectors of state, perturbation, control, controlled output, and measured output, respectively. The H~∞-control problem for this object is the problem of constructing a dynamic measured-output feedback control law suppressing perturbations to a given ratio: the ratioof the L_2-norm of the controlled output to the L2-norm of the perturbation is less than a given number γ.