Incorporating robustness requirements into antiwindup design
Incorporating robustness requirements into antiwindup design
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DOI：
10.1109/tac.2007.906185
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发表时间：
2007-10-01
影响因子：
6.8
通讯作者：
Postlethwaite, Ian
中科院分区：
文献类型：
--
作者：
Turner, Matthew C.;Herrmann, Guido;Postlethwaite, Ian
本文研究了除控制器饱和外，还能处理对象不确定性的反卷绕补偿器的合成问题。所考虑的不确定性是频率加权的加性类型，经常在线性鲁棒控制理论中遇到，并且代表了实践中遇到的各种不确定性。主要结果表明，如何改进现有的基于线性矩阵不等式的反缠绕综合算法，以产生更好地适应不确定性的补偿器。这些结果中包含了始终存在的性能-鲁棒性权衡。一个显著的特点是，经常被批评的内部模型控制反缠绕解决方案出现为一个“最优鲁棒”的解决方案。一个简单的算例验证了改进算法的有效性。
This paper treats the problem of synthesizing antiwindup compensators that are able to handle plant uncertainty in addition to controller saturation. The uncertainty considered is of the frequency-weighted additive type, often encountered in linear robust control theory, and representative of a wide variety of uncertainty encountered in practice. The main results show how existing linear matrix inequality based antiwindup synthesis algorithms can be modified to produce compensators that accommodate uncertainty better. Embedded within these results is the ever-present performance-robustness tradeoff. A remarkable feature is that the often criticized internal model control antiwindup solution emerges as an "optimally robust" solution. A simple example demonstrates the effectiveness of the modified algorithms.