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Stability Analysis and Quantization Parameters Design of Systems with Finite Quantizers
基于有限区域量化的系统稳定性分析与设计

Keywords: Output feedback,finite quantizer,asymptotic stability,invariant region
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,有限区域量化器,渐近稳定,不变域

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Abstract:

This paper is concerned with asymptotic stability analysis and quantization parameters design of discrete-time linear systems subject to output feedback and finite logarithmic quantizers. First, the asymptotic stability analysis and its corresponding stability conditions for observation error system and plant system are given, respectively. Then, the numerical relationships of stability between plant system and error system are presented explicitly under finite logarithmic quantizers. The upper bound interval value of each finite quantizers and their data rate ratio are achieved. Finally, a hybrid quantized control strategy based on state observation is proposed, and a numerical example is given.

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