Kurt Jacobs, Xiaoting Wang
We show that for a widely applicable minimal-time control problem, a coherent feedback protocol is optimal, and is faster than all measurement-based feedback protocols, where the latter are defined in a strict sense. Our analysis reveals why coherent feedback can be expected to be superior to measurement-feedback for a broad range of control problems: the optimal protocol exploits a geodesic in Hilbert space, a path that measurement protocols cannot follow. Our results also provide a guide to the design of coherent feedback protocols.
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http://arxiv.org/abs/1211.1724
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