Petersen, Ian R.Hollot, Christopher V.2026-07-032026-07-030890-6327ORCID:/0000-0003-4856-9450/work/219177613https://hdl.handle.net/1885/733812424In recent years, a number of approaches have been developed for solving the following problem in linear systems theory: design a state feedback control so that the norm of a specified transfer function is less than a given bound over all frequencies. This paper deals with the case in which not all systems states can be measured. It shows that if a certain minimum phase condition is satisfied, then the transfer function bound achievable using state feedback can be asymptotically recovered using a high gain observer. These results have application to the problems of disturbance attenuation, H∞ optimization and the stabilization of uncertain linear systems.23enDisturbance attenuation H optimization StabilizationHigh gain observerLinear systems theoryMinimum phase conditionState feedbackTransfer functions198810.1002/acs.44800204090024125008