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Affine controller parameterization for decentralized control over Banach spaces
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DOI：10.1109/TAC.2006.880781.png)
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Abstract
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We cast the problem of optimal decentralized control as one of minimizing a closed-loop norm subject to a subspace constraint on the controller. In this note, we consider continuous linear operators on Banach spaces, and show that a simple property called quadratic invariance is necessary and sufficient for the constraint set to be preserved under feedback, and thus allows optimal synthesis to be recast as a convex optimization problem. These results hold for any norm and any Banach space.
Keywords:
Banach spaces
bounded linear operators
convex optimization
decentralized control
networked control
robust control
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