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基于遗传算法的道路安定极限优化求解方法
引用本文:程春蕊,毛北行.基于遗传算法的道路安定极限优化求解方法[J].山东大学学报(工学版),2021,50(5):1-7.
作者姓名:程春蕊  毛北行
作者单位:1. 山东大学齐鲁交通学院, 山东 济南 2500022. 鲁南高速铁路有限公司, 山东 济南 2501023. 宁波诺丁汉大学, 浙江 宁波 315100
基金项目:国家自然科学青年基金资助项目(NSFC11501525)
摘    要:为解决长期往复车辆荷载作用下道路结构易产生弹塑性变形的问题, 基于静力安定定理研究Hertz荷载作用下半无限空间Mohr-Coulomb结构的安定行为, 引入遗传算法构建往复车辆荷载作用下道路结构安定极限下限值的高效计算方法。通过与现有求解方法进行对比和参数分析, 验证了新方法的准确性,计算过程在10 s内完成。

关 键 词:道路结构  遗传算法  安定极限  弹塑性分析  安定理论  
收稿时间:2019-09-28

Adaptive sliding mode synchronization of a class of nonlinear chaotic systems
Chunrui CHENG,Beixing MAO.Adaptive sliding mode synchronization of a class of nonlinear chaotic systems[J].Journal of Shandong University of Technology,2021,50(5):1-7.
Authors:Chunrui CHENG  Beixing MAO
Affiliation:1. School of Qilu Transportation, Shandong University, Jinan 250002, Shandong, China2. Lunan High-Speed Railway Co., Ltd., Jinan 250102, Shandong, China3. The University of Nottingham Ningbo, Ningbo 315100, Zhejiang, China
Abstract:The synchronization of a class of nonlinear chaotic systems with model uncertainties and external disturbances was studied based on adaptive sliding mode control. A novel nonsingular terminal sliding surface was proposed and its stability was proved. On the basis of Lyapunov stability theory, a sliding mode control law was derived to force the trajectory of the synchronization error systems onto the sliding surface and to guarantee the occurrence of the sliding motion. The proposed control scheme was applied to synchronize chaos of integer order and fractional-order nonlinear chaotic systems in the presence of both model uncertainties and external disturbances. A numerical simulation taking the fractional Victor-Carmen system as the example demonstrated the applicability and efficiency of the proposed sliding mode control technique and verified the theoretical results of the research.
Keywords:adaptive  chaos  nonlinear systems  sliding mode  synchronization  
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