Thien, Rebbecca T.Y.Vuglar, Shanon L.Petersen, Ian R.2026-07-032026-07-032405-8963ORCID:/0000-0002-1065-7597/work/219174524ORCID:/0000-0003-4856-9450/work/219177674https://hdl.handle.net/1885/733812456Additional noise in a quantum system can be detrimental to the performance of a quantum coherent feedback control system. This paper proposes a Linear Matrix Inequality (LMI) approach to construct an optimal quantum realization of a given Linear Time Invariant (LTI) system. The quantum realization problem is useful in designing coherent quantum feedback controllers. An optimal method is proposed for solving this problem in terms of a finite horizon quadratic performance index, which is related to the amount of quantum noise appearing at the system's output. This cost function provides a measure of how much the additional quantum noise in the coherent controller will alter the feedback control system.under grant DP180101805. It was also supported by the Airforce O★fTficheisofwSocrikentwifaisc RsuepsepaorrcthedanbdythteheOfAfiucestorfalNiaanvaRl ReseesaeracrhchCGoluonbcaill under aggrraenetmDenPt1n8u01m0b1e8r05F.AI2t38w6a-s16a-1ls4o06s5u.pported by the Airforce Office of Scientific Research and the Office of Naval Research Global under agreement number FA2386-16-14065.6enPublisher Copyright: Copyright © 2020 The Authors. This is an open access article under the CC BY-NC-ND licenseLinear matrix inequalityOptimizationPhysical realizabilityQuadratic performance indexQuantum noiseQuantum system202010.1016/j.ifacol.2020.12.13285099881955