稳健性(进化)
计算机科学
集合(抽象数据类型)
化学
程序设计语言
生物化学
基因
作者
Clément Roos,Fabien Lescher,Jean‐Marc Biannic,Carsten Döll,G. Ferreres
标识
DOI:10.1109/cacsd.2011.6044547
摘要
This paper reviews a set of μ-analysis based tools developed by the authors during the last decade to evaluate the robustness properties of high-dimensional linear plants subject to numerous time-invariant uncertainties. These tools allow to compute both upper and lower bounds on the robust stability margin, the worst-case H ∞ performance level, as well as the traditional gain, phase, modulus and time-delay margins. The key idea is to solve the problem on just a coarse frequency grid and to perform a fast validation on the whole frequency range, which results in guaranteed but conservative bounds on the aforementioned quantities. Some heuristics are then applied to determine a set of worst-case parametric configurations leading to over-optimistic bounds. A branch and bound scheme is finally implemented, so as to tighten these bounds with the desired accuracy, while still guaranteeing a reasonable computational complexity. The proposed algorithms are successfully assessed on a challenging real-world application.
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