H∞ sampled-data synthesis and related numerical issues
H∞ sampled-data synthesis and related numerical issues
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H∞ 采样数据合成和相关数值问题
DOI：
10.1016/s0005-1098(97)00151-9
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发表时间：
1997
期刊：
影响因子：
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通讯作者：
K. Glover
中科院分区：
文献类型：
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作者：
M. Cantoni;K. Glover
在这篇文章中，我们提出了一种新的紧凑的状态空间公式的推导，用于H∞采样数据控制问题的所谓基于离散化的解决方案。我们的方法是基于已建立的连续时间提升技术，该技术用于将连续时间、线性、周期时变、采样数据问题等距映射到离散时间、线性、时不变问题。通过求解一组两点边值问题，得到了等价离散时间问题的状态空间公式。这些公式包含了从扰动输入到原始对象的受控输出的直接反馈项，并且很简单，只需要计算单个矩阵指数。结果还表明，所得到的公式可以很容易地重新构造，以给出计算状态空间矩阵的数值健壮性算法。
In this paper we present a new, compact derivation of state-space formulae for the so-called discretisation-based solution of the H∞sampled-data control problem. Our approach is based on the established technique of continuous time-lifting, which is used to isometrically map the continuous-time, linear, periodically time-varying, sampled-data problem to a discretetime, linear, time-invariant problem. State-space formulae are derived for the equivalent, discrete-time problem by solving a set of two-point, boundary-value problems. The formulae accommodate a direct feed-through term from the disturbance inputs to the controlled outputs of the original plant and are simple, requiring the computation of only a single matrix exponential. It is also shown that the resultant formulae can be easily re-structured to give a numerically robust algorithm for computing the state-space matrices.
DOI：
10.1109/9.286247
发表时间：
1994-04
期刊：
IEEE Trans. Autom. Control.
影响因子：
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作者：
Y. Yamamoto
通讯作者：
Y. Yamamoto