Synthesis of Optimal Dynamic Quantizers for Symbolic Input Control
Synthesis of Optimal Dynamic Quantizers for Symbolic Input Control
复制标题
符号输入控制的最优动态量化器的综合
DOI：
10.5687/iscie.20.122
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发表时间：
2007
期刊：
影响因子：
--
通讯作者：
T. Sugie
中科院分区：
文献类型：
--
作者：
S. Azuma;T. Sugie
本文提出了一种通过离散值输入控制线性时不变系统的最佳动态量化器综合。这里考虑的量化器采用差分方程的形式，为此我们找到一个量化器，使得由给定线性对象和量化器组成的系统在输入输出关系意义上是给定线性对象的最优近似。首先，我们推导出控制系统中动态量化器性能的封闭形式表达式。接下来，在此基础上，针对动态量化器的性能限制，给出了一种最优的动态量化器及其性能。最后，讨论了最优动态量化器与现有量化器、后退水平量化器和ΔΣ调制器之间的关系。
This paper presents an optimal dynamic quantizer synthesis for controlling linear time-invariant systems by the discrete-valued input. The quantizers considered here are in the form of a difference equation, for which we find a quantizer such that the system composed of a given linear plant and the quantizer is an optimal approximation of the given linear plant in the sense of the input-output relation. First, we derive a closed form expression for the performance of the dynamic quantizers in control systems. Next, based on this, an optimal dynamic quantizer and its performance, corresponding to the performance limitation of the dynamic quantizers, are provided. Finally, the relation among the optimal dynamic quantizer and the existing quantizers, the receding horizon quantizers and the ΔΣ modulators, is discussed.