[1]王荣浩.考虑计算延迟的Boost变换器异步切换控制方法[J].东南大学学报(自然科学版),2021,(1):92-100.[doi:10.3969/j.issn.1001-0505.2021.01.013]
 Wang Ronghao.Asynchronously switching control method for Boost converter considering computational delay[J].Journal of Southeast University (Natural Science Edition),2021,(1):92-100.[doi:10.3969/j.issn.1001-0505.2021.01.013]
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考虑计算延迟的Boost变换器异步切换控制方法()
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《东南大学学报(自然科学版)》[ISSN:1001-0505/CN:32-1178/N]

卷:
期数:
2021年第1期
页码:
92-100
栏目:
自动化
出版日期:
2021-01-20

文章信息/Info

Title:
Asynchronously switching control method for Boost converter considering computational delay
作者:
王荣浩
中国人民解放军陆军工程大学国防工程学院, 南京 210007
Author(s):
Wang Ronghao
National Defense Engineering College, Army Engineering University of PLA, Nanjing 210007, China
关键词:
Boost变换器 切换系统 计算延迟 平均驻留时间 多Lyapunov函数 有限时间异步控制
Keywords:
Boost converter switched system computational delay average dwell time multiple Lyapunov functions finite-time asynchronous control
分类号:
TP17
DOI:
10.3969/j.issn.1001-0505.2021.01.013
摘要:
为应对Boost变换器电路中控制律的计算延迟及高频切换,提出一种基于时间切换的有限时间异步控制方法实现变换器的稳定控制. 首先利用切换系统方法建立Boost变换器在开关动作和电路拓扑切换间发生延迟的异步控制模型;然后结合平均驻留时间方法与多Lyapunov函数,利用占空比实现变换器的混杂切换控制;最后基于有限时间控制原理,得到控制律的计算时间、切换信号驻留时间与系统稳定运行时间之间的定量关系. 结果表明,在0.9 ms运行时间内,当电路系统的切换信号与实际控制律切换信号间存在0.05 ms的延迟时,异步切换控制总切换次数为5,少于同步切换控制总切换次数11,未出现高频振动现象. 异步切换控制方法能够有效抑制电路输出响应在平衡点附近的高频振动,控制性能更优.
Abstract:
To deal with the computational delay of control laws and high frequency switching in the circuit of Boost converter, a finite-time asynchronous control method based on time switching was proposed to realize a stable control of the converter. First, the asynchronous control model for the Boost converter with time delay between the switching action and the circuit topology switching was established by a switched system method. Then, the duty ratio was used to realize the hybrid switching control of the converter by combining the average dwell time method with the multiple Lyapunov function. Finally, based on the principle of finite-time control, the quantitative relationships among the calculation time of the control law, the dwell time of the switching signal and the stable operation time of the system were derived. Results show that the total switching times(5 times)of the asynchronous switching control are less than that(11 times)of the synchronous switching control, and there is no high-frequency vibration phenomenon when there is a time delay of 0.05 ms between the switching signal of the circuit system and that of the actual control law within 0.9 ms running time. The asynchronously switching control method can effectively suppress the high-frequency vibration of the circuit output response near the equilibrium point. Thus, the method has better control performance.

参考文献/References:

[1] 方炜, 丁辰晨, 甘洋洋, 等. 一种基于混杂系统的Boost变换器切换控制算法[J]. 电源学报, 2016, 14(5): 60-67. DOI:10.13234/j.issn.2095-2805.2016.5.60.
Fang W, Ding C C, Gan Y Y, et al. A switching control algorithm of Boost converter based on hybrid system[J]. Journal of Power Supply, 2016, 14(5): 60-67. DOI:10.13234/j.issn.2095-2805.2016.5.60. (in Chinese)
[2] 任海鹏, 王轩. 电力电子变换器切换控制方法综述[J]. 新型工业化, 2017, 7(10): 20-31. DOI:10.19335/j.cnki.2095-6649.2017.10.004.
Ren H P, Wang X. Review of switching control methods for power electronic converters[J].The Journal of New Industrialization, 2017, 7(10): 20-31. DOI:10.19335/j.cnki.2095-6649.2017.10.004. (in Chinese)
[3] 高明远. 双向DC-DC变换器基于切换系统的建模与储能控制[J]. 电力系统保护与控制, 2012, 40(3): 129-134. DOI:10.3969/j.issn.1674-3415.2012.03.025.
Gao M Y. Modeling and energy storage control for bi-directional DC-DC converter based on switching system[J].Power System Protection and Control, 2012, 40(3): 129-134. DOI:10.3969/j.issn.1674-3415.2012.03.025. (in Chinese)
[4] 李继方, 韩金刚, 汤天浩. 基于切换系统的开关变换器统一建模[J]. 华南理工大学学报(自然科学版), 2011, 39(10): 157-164. DOI:10.3969/j.issn.1000-565X.2011.10.027.
Li J F, Han J G, Tang T H. Unified modeling of switching converters based on switching system[J].Journal of South China University of Technology(Natural Science Edition), 2011, 39(10): 157-164. DOI:10.3969/j.issn.1000-565X.2011.10.027. (in Chinese)
[5] 陆益民, 张波, 尹丽云. DC/DC变换器的切换仿射线性系统模型及控制[J]. 中国电机工程学报, 2008, 28(15): 16-22. DOI:10.3321/j.issn:0258-8013.2008.15.003.
Lu Y M, Zhang B, Yin L Y. Switched affine systems modeling and control of DC/DC converters[J]. Proceedings of the CSEE, 2008, 28(15): 16-22. DOI:10.3321/j.issn:0258-8013.2008.15.003. (in Chinese)
[6] Mojallizadeh M R, Badamchizadeh M A. Switched linear control of interleaved boost converters[J]. International Journal of Electrical Power & Energy Systems, 2019, 109: 526-534. DOI:10.1016/j.ijepes.2019.02.030.
[7] Ren H L, Zong G D, Ahn C K. Event-triggered finite-time resilient control for switched systems: An observer-based approach and its applications to a boost converter circuit system model[J]. Nonlinear Dynamics, 2018, 94(4): 2409-2421. DOI:10.1007/s11071-018-4499-0.
[8] Licea M A R, Pinal F J P, Gutiérrez A I B, et al. A reconfigurable Buck, Boost, and Buck-Boost converter: Unified model and robust controller[J]. Mathematical Problems in Engineering, 2018, 2018: 1-8. DOI:10.1155/2018/6251787.
[9] 马西奎. 电力电子系统的非线性动力学分析[M]. 北京: 科学出版社, 2017: 322-323.
[10] Wang R H, Xing J C, Xiang Z R. Finite-time stability and stabilization of switched nonlinear systems with asynchronous switching[J].Applied Mathematics and Computation, 2018, 316: 229-244. DOI:10.1016/j.amc.2017.08.017.
[11] Wang R H, Xing J C, Li J L, et al. Finite-time quantised feedback asynchronously switched control of sampled-data switched linear systems[J]. International Journal of Systems Science, 2016, 47(14): 3320-3335. DOI:10.1080/00207721.2015.1129676.
[12] Long L J, Zhao J. Adaptive output-feedback neural control of switched uncertain nonlinear systems with average dwell time[J].IEEE Transactions on Neural Networks and Learning Systems, 2015, 26(7): 1350-1362. DOI:10.1109/tnnls.2014.2341242.
[13] Sun X M, Zhao J, David J H. Stability and L2-gain analysis for switched delay systems: A delay-dependent method[J]. Automatica, 2006, 42(10): 1769-1774. DOI: 10.1016/j. automatica.2006.05.007.
[14] 贾美美. 电流控制型Boost变换器的一种新混沌控制策略[J]. 控制工程, 2017, 24(11): 2256-2262. DOI:10.14107/j.cnki.kzgc.150688.
Jia M M. A novel chaos control strategy for the current-controlled Boost converter[J]. Control Engineering of China, 2017, 24(11): 2256-2262. DOI:10.14107/j.cnki.kzgc.150688. (in Chinese)

备注/Memo

备注/Memo:
收稿日期: 2019-10-17.
作者简介: 王荣浩(1985—),男,博士,副教授,wrh@893.com.cn.
基金项目: 国家自然科学基金资助项目(61603414).
引用本文: 王荣浩.考虑计算延迟的Boost变换器异步切换控制方法[J].东南大学学报(自然科学版),2021,51(1):92-100. DOI:10.3969/j.issn.1001-0505.2021.01.013.
更新日期/Last Update: 2021-01-20