Optimal Dynamic Quantizers in Discrete-Valued Input Feedback Control Systems

In this paper, we present an optimal dynamic quantizer in terms of the output approximation , i. e., a difference equation based quantizer which gives an optimal output property in a given feedback control system. The quantizer allows us to design controllers of the discrete-valued input systems by the conventional methods for the usual linear systems. First, we derive an optimal dynamic quantizer and a closed form expression for the performance limitation. Then, the effectiveness of the proposed dynamic quantizer is demonstrated by a numerical example .

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