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Exact recursive polyhedral description of the feasible parameter set for bounded-error models

机译:有限误差模型可行参数集的精确递归多面体描述

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摘要

A method is described which exactly characterizes the set of all the values of the parameter vector of a linear model that are consistent with bounded errors on the measurements. It provides a parameterized expression of this set, which can be used for robust control design or for optimizing any criterion over the set. This approach is based on a new variant of the double description method for determining the edges of a polyhedral cone. It can be used in real time and provides a suitable context for implementation on a computer. Whenever a new measurement modifies the set, the characterization is updated. The technique is illustrated with a simple example.
机译:描述了一种方法,该方法精确地表征与测量中的有界误差一致的线性模型的参数矢量的所有值的集合。它提供了该组的参数化表达式,可用于鲁棒控制设计或优化该组上的任何准则。该方法基于用于确定多面圆锥体边缘的双重描述方法的新变体。它可以实时使用,并为在计算机上实现提供合适的上下文。每当新的测量值修改设置时,特征都会更新。用一个简单的例子说明了该技术。

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