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Worst case design for robust compensation

机译:最差的情况设计,实现强大的补偿

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摘要

We consider the problem [GRAPHICS] where F is an element of R-r, p is an element of R-m, and where c (.) and h (.) are C-1. Let phi(.) = Min(c(p,F)=0)h(p,F). We show, by means of simple examples, that phi(.) is, in general, discontinuous. We develop in this paper necessary conditions for the case where phi(.) is continuous ( but not necessarily differentiable). In an alternative approach ( which is computationally inferior), we treat the discontinuous case as well. We apply the results to robust control in linear systems where p stands for the ( structured) real parameter uncertainty vector and F stands for the control parameters vector. We demonstrate the results by means of examples. [References: 17]
机译:我们考虑问题[GRAPHICS],其中F是R-r的元素,p是R-m的元素,而c(。)和h(。)是C-1。令phi(。)= Min(c(p,F)= 0)h(p,F)。通过简单的示例,我们表明phi(。)通常是不连续的。我们在本文中为phi(。)连续(但不一定可微)的情况开发了必要条件。在另一种方法(计算上较差)中,我们也处理不连续的情况。我们将结果应用于线性系统中的鲁棒控制,其中p代表(结构化)实参数不确定性矢量,F代表控制参数矢量。我们通过实例演示结果。 [参考:17]

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