1. College of Information and Control Engineering China University of Petroleum (East China) Qingdao 266580 China; 2. School of Mechanical and Electrical Engineering Qingdao Huanghai University Qingdao 266427 China
Abstract：The conventional PI voltage control of buck converter cannot obtain satisfying dynamic responses and anti-disturbance ability under parameter variations and load disturbances. Moreover, the traditional sliding mode control is often designed based on continuous-time voltage single loop, resulting in discretization stability problems and poor voltage dynamic performance in comparison to double closed-loop control. Thus, this paper proposes a robust discrete integral sliding mode (DISM) voltage control scheme for Buck converters. Firstly, a discrete voltage model with lumped disturbance is rebuilt while preserving the current inner loop in the traditional double closed-loop control, and a novel global-robustness DISM voltage controller is designed to improve the dynamic quality and anti-disturbance ability of the output voltage. Then, a ‘delay disturbance estimation’ strategy is used to estimate and compensate the lumped disturbance online, achieving the engineering implementation of the controller and the chattering suppression of sliding mode control. Finally, the stability analysis and parameter design procedures of the proposed controller are given. Its superiority is verified by comparative simulations and experiments with conventional PI voltage control.
[1] 焦尚彬, 张磊, 刘丁, 等. 基于增量式切换项的模糊滑模高频开关电源控制[J]. 电工技术学报, 2018, 33(22): 5311-5318. Jiao Shangbin, Zhang Lei, Liu Ding, et al.Fuzzy sliding mode control of high frequency switching power supply based on incremental switch item[J]. Transactions of China Electrotechnical Society, 2018, 33(22): 5311-5318. [2] 卢伟国, 赵乃宽, 郎爽, 等. Lyapunov模式控制Buck变换器[J]. 电工技术学报, 2014, 29(10): 98-105. Lu Weiguo, Zhao Naikuan, Lang Shuang, et al.Lyapunov mode controlled Buck converter[J]. Transactions of China Electrotechnical Society, 2014, 29(10): 98-105. [3] 张希, 沙金, 徐杨军, 等. 恒定导通时间电容电流控制Buck变换器研究[J]. 电工技术学报, 2015, 30(23): 18-23. Zhang Xi, Sha Jin, Xu Yangjun, et al.Research on the constant on-time capacitor current control of Buck converters[J]. Transactions of China Electro- technical Society, 2015, 30(23): 18-23. [4] 倪雨, 许建平, 于海坤, 等. 控制受限滑模控制Buck变换器设计[J]. 中国电机工程学报, 2010, 30(18): 26-32. Ni Yu, Xu Jianping, Yu Haikun, et al.Design of sliding mode control Buck converter with bounded input[J]. Proceedings of the CSEE, 2010, 30(18): 26-32. [5] 倪雨, 许建平. 准滑模控制开关DC-DC变换器分析[J]. 中国电机工程学报, 2008, 28(21): 1-6. Ni Yu, Xu Jianping.Quasi-sliding mode switching control for DC-DC converters[J]. Proceedings of the CSEE, 2008, 28(21): 1-6. [6] Tan S C, Lai Y M, Tse C K, et al.A fixed-frequency pulse width modulation based quasi-sliding-mode controller for Buck converters[J]. IEEE Transactions on Power Electronics, 2005, 20(6): 1379-1392. [7] Tan S C, Lai Y M, Chi K T.General design issues of sliding-mode controllers in DC-DC converters[J]. IEEE Transactions on Industrial Electronics, 2008, 55(3): 1160-1174. [8] Tan S C, Lai Y M, Chi K T.Indirect sliding mode control of power converters via double integral sliding surface[J]. IEEE Transactions on Power Electronics, 2008, 23(2): 600-611. [9] 颜湘武, 王杨, 葛小凤, 等. 双管Buck-Boost变换器的带输入电压前馈双闭环控制策略[J]. 电力自动化设备, 2016, 36(10): 65-70, 77. Yan Xiangwu, Wang Yang, Ge Xiaofeng, et al.Dual-loop control with input voltage feedforward for dual-switch Buck-Boost converter[J]. Electric Power Automation Equipment, 2016, 36(10): 65-70, 77. [10] Oucheriah S, Guo L.PWM-based adaptive sliding- mode control for Boost DC-DC converters[J]. IEEE Transactions on Industrial Electronics, 2013, 60(8): 3291-3294. [11] Yang Jun, Wu Bin, Li Shihua, et al.Design and qualitative robustness analysis of an DOBC approach for DC-DC Buck converters with unmatched circuit parameter perturbations[J]. IEEE Transactions on Circuits & Systems I: Regular Papers, 2017, 63(4): 551-560. [12] Wang Junxiao, Li Shihua, Yang Jun, et al.Extended state observer-based sliding mode control for PWM-based DC-DC Buck power converter systems with mismatched disturbances[J]. IET Control Theory & Applications, 2015, 9(4): 579-586. [13] 王艳敏, 曹雨晴, 夏红伟. Buck变换器的电压电流双闭环终端滑模控制[J]. 电机与控制学报, 2016, 20(8): 92-97. Wang Yanmin, Cao Yuqing, Xia Hongwei.Terminal sliding mode control for Buck converter with structure of voltage and current double closed loop[J]. Electric Machines and Control, 2016, 20(8): 92-97. [14] Ma Haifeng, Wu Jianhua, Xiong Zhenhua.Discrete- time sliding-mode control with improved quasi- sliding-mode domain[J]. IEEE Transactions on Industrial Electronics, 2016, 63(10): 6292-6304. [15] Yu Xinghuo, Wang Bin, Li Xiangjun.Computer- controlled variable structure systems: the state- of-the-art[J]. IEEE Transactions on Industrial Informatics, 2012, 8(2): 197-205. [16] 姚琼荟, 黄继起, 吴汉松. 变结构控制系统[M]. 重庆: 重庆大学出版社, 1997: 168-185. [17] Vidal-Idiarte E, Marcos-Pastor A, Giral R, et al.Direct digital design of a sliding mode-based control of a PWM synchronous Buck converter[J]. IET Power Electronics, 2017, 10(13): 1714-1720. [18] Dashtestani A, Bakkaloglu B.A fast settling over- sampled digital sliding-mode DC-DC converter[J]. IEEE Transactions on Power Electronics, 2014, 30(2): 1019-1027. [19] Somnatch Maity.Dynamics and stability issues of a discretized sliding-mode controlled DC-DC Buck converter governed by fixed-event-time switching[J]. IEEE Transactions on Circuits & Systems I: Regular Papers, 2013, 60(6): 1657-1669. [20] Abidi K, Xu Jinanxin, Yu Xinghuo.On the discrete- time integral sliding-mode control[J]. IEEE Transa- ctions on Automatic Control, 2007, 52(4): 709-715. [21] Young K D, Utkin V I, Ozguner U.A control engineer's guide to sliding mode control[J]. IEEE Transactions on Control Systems Technology, 1999, 7(3): 328-342. [22] Sarpturk S, Istefanopulos Y, Kaynak O.On the stability of discrete-time sliding mode control systems[J]. IEEE Transactions on Automatic Control, 2003, 32(10): 930-932.
2019, Vol. 34 
