Petersen, Ian R.2026-07-032026-07-030018-9286ORCID:/0000-0003-4856-9450/work/219177572https://hdl.handle.net/1885/733812436This note presents a method for designing a state feedback control law to reduce the effect of disturbances on the output of a given linear system. The problem under consideration involves attenuating the disturbances to a prespecified level. The construction of the state feedback control law requires the solution of a certain algebraic Riccati equation. By applying the procedure with successively smaller values of the prespecified disturbance level, the result also provides an approach to the H∞ optimization problem for the state feedback case.3enDisturbance Attenuation and H<sub>∞</sub> Optimization: A Design Method Based on the Algebraic Riccati Equation198710.1109/TAC.1987.11046090023349261