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A Probabilistic Approach to the Margin Analysis of Robustness
Author(s): 
Pages: 287-288,375
Year: Issue:  3
Journal: JOURNAL OF BEIJING INSTITUTE OF TECHNOLOGY

Keyword:  概率方法鲁棒性裕度摄动范围;
Abstract: 将概率思想和方法引入到系统鲁棒性裕度分析中,研究被控对象不确定参数的摄动范围、被控对象的范数摄动范围与概率风险之间的关系,并对传统意义下的鲁棒性裕度和概率意义下的鲁棒性裕度进行了比较和分析.研究结果和计算实例表明,如果允许系统以非常小的概率不稳定,往往可以得到比传统结果显著增大的摄动范围,即在概率意义下提高了系统的鲁棒性裕度,从而在一定程度上克服了传统结果所带来的保守性.这一研究结果具有重要理论意义和工程应用参考价值.
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