Control of linear dynamic systems with set constrained disturbances
Control of linear dynamic systems with set constrained disturbances
复制标题
具有集合约束扰动的线性动态系统的控制
DOI：
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发表时间：
1971
期刊：
影响因子：
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通讯作者：
F. Schweppe
中科院分区：
文献类型：
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作者：
J. Glover;F. Schweppe
研究了具有输入和观察不确定性的线性动态系统。不确定性被限制在指定集中。没有假定概率结构。研究了将系统状态保持在指定区域的问题。用于解决该问题的解决方案的必要条件和构建控制的算法是为开环和闭环控制定律得出的。该算法也通过边界椭圆形算法近似。研究了两种特殊控制定律，即线性和“线性加上束带”，并进行了包含状态和控制的区域。还会得出结合状态和控制的椭圆形，并提出了线性和线性加上止境控制定律的简单示例。
A linear dynamic system with input and observation uncertainties is studied. The uncertainties are constrained to be contained in specified sets. No probabilistic structure is assumed. The problem of keeping the state of the system in a specified region is investigated. Necessary and sufficient conditions for a solution to the problem and an algorithm that constructs the control are derived for open-loop and closed-loop control laws. The algorithm is also approximated by a bounding ellipsoid algorithm. Two special control laws, linear and "linear-plus-dead-band," are studied, and the regions that contain the state and control are characterized. Ellipsoids that bound the state and control are also derived, and a simple example of linear and linear-plus-dead-band control laws is presented.