A function space approach to sampled data control systems and tracking problems
A function space approach to sampled data control systems and tracking problems
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DOI：
10.1109/9.286247
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发表时间：
1994-04
期刊：
影响因子：
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通讯作者：
Y. Yamamoto
中科院分区：
文献类型：
--
作者：
Y. Yamamoto
本文提出了一种新的混合采样数据控制系统框架。不再只考虑采样时刻的状态，本文引入了采样周期内的函数作为状态，并给出了一个具有这种状态空间的无穷维模型。这使得具有内置样本间行为的采样数据系统可以被视为线性、时不变、离散时间系统。因此，该方法使得即使在存在样本间行为的情况下，也可以将诸如传递函数、极点和零点等时间不变的概念引入采样数据系统。具体地说，跟踪问题可以在这种设置下以简单和统一的方式研究，并且纹波完全被描述为采样间参考信号和传输零方向之间的失配。这就引出了采样数据系统的内模原理。>；
This paper presents a new framework for hybrid sampled data control systems. Instead of considering the state only at sampling instants, this paper introduces a function piece during the sampling period as the state and gives an infinite-dimensional model with such a state space. This gives the advantage that sampled data systems with built-in intersample behavior can be regarded as linear, time-invariant, discrete-time systems. As a result, the approach makes it possible to introduce such time-invariant concepts as transfer functions, poles, and zeros to the sampled data systems even with the presence of the intersample behavior. In particular, tracking problems can be studied in this setting in a simple and unified way, and ripples are completely characterized as a mismatch between the intersample reference signal and transmission zero directions. This leads to the internal model principle for sampled data systems. >