An optimal dynamic quantizer for feedback control with discrete-valued signal constraints

This paper addresses a problem of finding an optimal dynamic quantizer in a given feedback control loop with discrete-valued signal constraints. First, an upper bound of the performance of dynamic quantizers is derived as a closed form. Based on this, we next provide an optimal dynamic quantizer, which is a solution to the problem, in an analytical way. Finally, the validity of the optimal dynamic quantizer is demonstrated by a numerical simulation.

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