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Fixed poles of H 2 optimal control by measurement feedback

This paper is concerned with the flexibility in the closed loop pole location when solving the H 2 optimal control problem (also called the H 2 optimal disturbance attenuation problem) by proper measurement feedback. It is shown that there exists a precise and unique set of poles which is present in the closed loop system obtained by any measurement feedback solution of the H 2 optimal control problem. These “ H 2 optimal fixed poles” are characterized in geometric as well as structural terms. A procedure...

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