科研之友
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摘要
In this paper we describe an algorithm designed to find those deterministic inputs, subject to an energy constraint, which maximize the outputs of nonlinear systems. One of the main applications of the algorithm is in finding the most likely causes of system failure. In such situations, the input energy is related to the probability of occurrence of the inputs, and the aim is to determine those inputs with the highest probability of occurrence that cause the output to exceed a specified failure threshold. To find the desired inputs, the proposed algorithm employs a wavelet packet representation of system inputs and toes a search method based on the differential evolution according to Stern and Price. The performance of the algorithm is demonstrated upon three different systems and compared with two other approaches described in the literature. The first two systems are configurations of a realistic model of a commercial wide-body aircraft where structural failure in extreme air turbulence is of interest, while the third system concerns the noise-induced escape of a particle from a potential well. There are a large number of other potential applications, including false alarms in signal processing and pattern recognition, the nonlinear response of buildings to seismic disturbances, the response of ships and off-shore structures to sea waves and the study of metastable states of system equilibrium.
- 出版日期1999-12
