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Bode's integral theorem for discrete-time systems

机译:离散时间系统的Bode积分定理

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摘要

A paper by Bode (1945) has shown the limitations of using a feedback structure in terms of an integral constraint on the sensitivity function for open-loop stable continuous-time systems. The present paper examines and derives equivalent results for discrete-time feedback systems. These integral constraints also provide some guidelines regarding the philosophy of feedback design specifically for sampled-data systems. For example, it is shown that, for all sampled-data control systems, there is a maximum sampling frequency, beyond which little improvement in performance is gained.
机译:Bode(1945)的论文表明,在对开环稳定连续时间系统的灵敏度函数进行积分约束方面,使用反馈结构存在局限性。本文研究并得出了离散时间反馈系统的等效结果。这些不可或缺的约束条件还提供了一些有关专门针对采样数据系统的反馈设计原理的准则。例如,显示出,对于所有采样数据控制系统,都有一个最大采样频率,超过该频率,性能几乎没有改善。

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