An algorithm for finding the zero crossing of time signals with Lipschitzean derivatives |
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| Affiliation: | 1. Chemometrics Group, Dept. of Chemical Engineering and Analytical Chemistry, Universitat de Barcelona, Barcelona, Spain;5. IDAEA-CSIC, Barcelona, Spain;1. College of Aeronautical Engineering, Civil Aviation University of China, Dongli District, Tianjin 300300, PR China;2. School of Civil Engineering, Nanyang Institute of Technology, 80 Changjiang Road, Wancheng District, Nanyang, Henan 473004, PR China;3. Center for Composite Materials and Structures, Harbin Institute of Technology, Science Park, No.2, Yikuang Street, Nangang District, Harbin 150001, PR China |
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| Abstract: | This paper deals with an efficient global optimization algorithm enabling to find the first root from the left of an equation ø(t) = 0, where t ϵ [a,b], ø(a) > 0, assuming the time function ø(t) has Lipschitzean derivatives. Two theorems establish the necessary conditions for finding the first root from the left and convergence of the algorithm. The algorithm can be adopted for finding the switching times of networks with internally controlled switches, such as analog-to-digital and digital-to-analog converters, or power converters. Examples showing the general applicability and accuracy of the new algorithm are given and the results of a comparison with other methods are presented. |
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