提出了一种分析混合反馈系统极限环振荡的新方法。极限环的计算被重新表述为一个混合单调关系,即两个最大单调关系之差的零发现。然后,该问题可以有效地解决借用现有的算法,最大限度地减少两个凸函数的差异。在经典的Van der Pol振子上说明了该方法的潜力。
英文摘要:
A new method is presented for the analysis of limit cycle oscillations in mixed-feedback systems. The calculation of the limit cycle is reformulated as the zero finding of a mixed-monotone relation, that is, of the difference of two maximally monotone relations. The problem can then be solved efficiently by borrowing existing algorithms that minimize the difference of two convex functions. The potential of the method is illustrated on the classical Van der Pol oscillator.
Stimulated Oscillations in Renewable Energy Integrated Power Systems - Part II: Methodology of Oscillation Mitigation
State Key Laboratory of Alternate Electrical Power System with Renewable Energy Sources (North China Electric Power University)(可再生能源与新型电力系统国家重点实验室(华北电力大学))
PB-OEL: A Performance-Bounded Online Ensemble Learning Framework With Mixed Feedback for Real-Time Safety Assessment
Department of Automation(自动化系);Institute for Embodied Intelligence and Robotics(具身智能与机器人研究院);Tsinghua University(清华大学);China Ship Research and Development Academy(中国船舶研究发展academy)
Mitigating Traffic Oscillations in Mixed Traffic Flow with Scalable Deep Koopman Predictive Control
School of Transportation, Southeast University, Nanjing, China, 211189(东南大学交通学院);Jiangsu Key Laboratory of Urban ITS, Nanjing, China, 210096(江苏省城市智能交通重点实验室);Jiangsu Collaborative Innovation Center of Modern Urban Traffic Technologies, Nanjing, China, 210096(江苏省现代城市交通技术协同创新中心);Department of Civil Engineering, Institute of Transport Studies, Monash University, Melbourne, Australia, VIC 3800(莫纳什大学土木工程系);College of Transportation Engineering, Tongji University, Shanghai, PR China, 201804(同济大学交通工程学院)