基于SP谐振补偿网络的ICPT系统鲁棒控制研究
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摘要
针对系统参数摄动和外部扰动等不确定因素会影响感应耦合式电能传输系统的鲁棒性这一问题,设计一种基于H∞优化控制方法的鲁棒控制器;为方便系统鲁棒控制的研究,首先采用广义状态空间平均方程和线性分式变换方法建立感应耦合式电能传输系统的结构化不确定性模型,然后通过H∞优化控制方法设计基于该模型的鲁棒控制器并根据μ理论分析闭环摄动系统的鲁棒性,最后仿真得到系统的开环和闭环暂态响应曲线;结果表明采用H∞优化控制方法设计的控制器在保证该系统鲁棒性的同时,也能使系统负载电压快速达到稳定状态。
Aiming at the problem that uncertainties such as parameter perturbation and external disturbance affect the robustness of induction coupled power transmission systems,the robust controller based on H∞optimization method is designed.In order to facilitate the study of robust control of the system,the generalized state space averaging equation and the linear fractional transformation method are used to establish the structured uncertain model of the induction coupled power transmission system.Then,the robust controller based on the model is designed by H∞optimization method,and the robustness of the closed-loop control is analyzed according toμtheory.Finally,the transient response curves of the open loop and closed loop systems are obtained by simulation.The results show that the The controller designed by H∞optimization method not only guarantees the robustness of the system,but also makes the load voltage of the system reach stable state quickly.
Aiming at the problem that uncertainties such as parameter perturbation and external disturbance affect the robustness of induction coupled power transmission systems,the robust controller based on H∞optimization method is designed.In order to facilitate the study of robust control of the system,the generalized state space averaging equation and the linear fractional transformation method are used to establish the structured uncertain model of the induction coupled power transmission system.Then,the robust controller based on the model is designed by H∞optimization method,and the robustness of the closed-loop control is analyzed according toμtheory.Finally,the transient response curves of the open loop and closed loop systems are obtained by simulation.The results show that the The controller designed by H∞optimization method not only guarantees the robustness of the system,but also makes the load voltage of the system reach stable state quickly.
引文
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[2]Xia Chenyang,Wang Wei,Chen Guoping,et al.Robust Control for the Relay ICPT System Under External Disturbance and Parametric Uncertainty[J].IEEE Transactions on Control Systems Technology,2016,PP(99):1-8.
[3]Li Yanling,Sun Yue,Dai Xin,et al.μ-Synthesis for Frequency Uncertainty of the ICPT System[J].IEEE Transactions on Industrial Electronics,2012,60(1):291-300.
[4]Li Yanling,Du Hao,Yang Mingkai,et al.Two-Degree-Of-Freedom H∞Robust Control Optimization for IPT System with Parameter Perturbations[J].IEEE Transactions on Power Electronics,2018,PP(99):1-1.
[5]孙跃,李砚玲.非接触传输系统的广义状态空间平均法分析[J].同济大学学报(自然科学版),2010,38(10):1521-1524.
[6]刘康志,姚郁.线性鲁棒控制[M].北京:科学出版社,2013.
[7]黄琳.稳定性与鲁棒性的理论基础[M].北京:科学出版社,2003.
[8]Gu D.-W.,Petkov P.,Konstantinov M.-M.Robust Control Design with MATLAB[J].Advanced Textbooks in Control&Signal Processing,2013.
[9]Oloomi H.,Shafai B..Weight selection in mixed sensitivity robust control for improving the sinusoidal tracking performance[C].Decision and Control,2003.Proceedings.IEEE Conference on.IEEE,2004(1):300-305.
[10]李砚玲.基于μ综合的ICPT系统鲁棒控制研究[D].重庆:重庆大学,2012.
[11]Swain A,Almakhles D,Neath M J,et al.Robust H∞output feedback control of bidirectional inductive power transfer systems[J].Archives of Control Sciences,2017,27(1):41-62.
[12]黄莹,陈恩策,唐厚君.模型跟踪控制应用于非接触感应电能传输[J].哈尔滨理工大学学报,2013,18(1):80-84.