基于超螺旋扩张状态观测器的耦合单电感双输出Buck变换器串级滑模解耦控制

doi:10.16183/j.cnki.jsjtu.2023.349

摘要/Abstract

摘要：

针对耦合单电感双输出(CI-SIDO)降压式(Buck)变换器输出支路间的耦合效应导致交叉影响进而影响系统动态性能的问题,提出基于超螺旋扩张状态观测器(ST-ESO)的串级滑模解耦控制策略.首先,建立CI-SIDO Buck变换器的状态空间平均模型,再通过具有快速收敛性质的ST-ESO 观测估计变换器内外环中的耦合项、内部扰动和未建模部分,并将其视为内外环中的总扰动.其次,结合超螺旋滑模控制器对内外环中总扰动进行补偿,实现系统的解耦,保证系统的鲁棒性和输出电压的稳定.然后,根据Lyapunov理论对ST-ESO和超螺旋滑模控制器进行稳定性分析,理论验证了控制策略的可行性.最后,利用实验平台对所提控制策略进行验证.结果表明所提控制策略实现了系统解耦,抑制了交叉影响并提高了系统的动态性能.

关键词: 耦合单电感双输出, Buck变换器, 超螺旋扩张状态观测器, 超螺旋滑模控制器, 解耦控制

Abstract:

To address the coupling effect between the output branches of the coupled inductor single-input dual-output (CI-SIDO) Buck converter, which leads to the cross-influence and thus affects the dynamic performance of the system, a cascaded sliding mode decoupling control strategy based on the super-twisting extend state observer (ST-ESO) is proposed. First, a state-space averaging model of the CI-SIDO Buck converter is established. Then, the coupling terms, internal perturbations, and unmodeled parts in the inner and outer loops of the converter are estimated by using the ST-ESO with a fast-convergence property, which are regarded as the total perturbations in the inner and outer loops. Next, the total perturbation in the inner and outer loops is compensated by using a super-twisting sliding mode controller to achieve the decoupling of the system and ensure the robustness of the system and the stability of the output voltage. Furthermore, the stability of the super-twisting extend state observer and super-twisting sliding mode controller is analyzed using the Lyapunov theory, providing theoretical verification of the feasibility of the control strategy. Finally, the proposed control strategy is experimentally validated on the experimental platform. The results show that the proposed control strategy realizes the decoupling of the system, suppresses the cross-influence and improves the dynamic performance of the system.

Key words: coupled inductor single-input dual-output (SIDO), Buck converter, super-twisting extend state observer (ST-ESO), super-twisting sliding mode control, decoupling control

中图分类号:

TM461

皇金锋, 章乾. 基于超螺旋扩张状态观测器的耦合单电感双输出Buck变换器串级滑模解耦控制[J]. 上海交通大学学报, 2025, 59(5): 592-604.

HUANG JinFeng, ZHANG Qian. Cascade Sliding Mode Decoupling Control of Coupled Inductor Single-Input Dual-Output Buck Converter Based on Super-Twisting Extend State Observer[J]. Journal of Shanghai Jiao Tong University, 2025, 59(5): 592-604.

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参考文献 31

[1]	MARKKASSERY S, SARADAGI A, MAHINDRAKAR A D, et al. Modeling, design and control of non-isolated single-input multi-output zeta-buck-boost converter[J]. IEEE Transactions on Industry Applications, 2020, 56(4): 3904-3918.
[2]	吕寻斋, 刘雪山, 周群, 等. 谐振式单开关多路低纹波输出LED驱动器[J]. 电工技术学报, 2021, 36(10): 2081-2091.
	LÜ Xunzhai, LIU Xueshan, ZHOU Qun, et al. Resonant single-switch multi-channel low-ripple LED driver[J]. Transactions of China Electrotechnical Society, 2021, 36(10): 2081-2091.
[3]	倪硕, 吴红飞, 陈君雨, 等. 交错并联临界导通模式Buck电感高密度集成与优化[J]. 电工技术学报, 2022, 37(18): 4688-4696.
	NI Shuo, WU Hongfei, CHEN Junyu, et al. Integration and optimization of a high power density inductor for an interleaved critical conduction mode buck converter[J]. Transactions of China Electrotechnical Society, 2022, 37(18): 4688-4696.
[4]	林通, 江平, 姚佳. 一种基于耦合电感的零电流纹波功率因数校正变换器[J]. 电工技术学报, 2022, 37(18): 4732-4744.
	LIN Tong, JIANG Ping, YAO Jia. A zero current ripple tapped inductor power factor correction converter[J]. Transactions of China Electrotechnical Society, 2022, 37(18): 4732-4744.
[5]	ZHOU S H, ZHOU G H, LIU X S, et al. Dynamic freewheeling control for SIDO buck converter with fast transient performance, minimized cross-regulation, and high efficiency[J]. IEEE Transactions on Industrial Electronics, 2023, 70(2): 1467-1477.
[6]	WANG Y, XU J P, QIN F B, et al. A capacitor current and capacitor voltage ripple controlled SIDO CCM buck converter with wide load range and reduced cross regulation[J]. IEEE Transactions on Industrial Electronics, 2022, 69(1): 270-281.
[7]	SENAPATI L, PANDA A K, GARG M M, et al. An adaptive estimator based sliding mode control of nonisolated single-input double-output cuk converter[J]. IEEE Journal of Emerging & Selected Topics in Industrial Electronics, 2023, 4(2): 482-491.
[8]	ZHANG X N, WANG B F, TAN X J, et al. Deadbeat control for single-inductor multiple-output DC-DC converter with effectively reduced cross regulation[J]. IEEE Journal of Emerging & Selected Topics in Power Electronics, 2020, 8(4): 3372-3381.
[9]	周国华, 谭宏麟, 周述晗, 等. 混合导电模式单电感双输出Buck变换器动态续流控制技术[J]. 中国电机工程学报, 2022, 42(23): 8686-8699.
	ZHOU Guohua, TAN Honglin, ZHOU Shuhan, et al. Dynamic freewheeling control technique for single-inductor dual-output buck converter in hybrid conduction mode[J]. Proceedings of the CSEE, 2022, 42(23): 8686-8699.
[10]	IKRIANNIKOV A, SCHMID T. Magnetically coupled buck converters[C]// 2013 IEEE Energy Conversion Congress and Exposition. Denver, USA: IEEE, 2013: 4948-4954.
[11]	NUPUR N, NATH S. Effect of coupling on discontinuous conduction mode of coupled inductor SIDO boost converter[J]. IEEE Transactions on Power Electronics, 2022, 37(5): 4991-5002.
[12]	NUPUR N, NATH S. Minimizing ripples of inductor currents in coupled SIDO boost converter by shift of gate pulses[J]. IEEE Transactions on Power Electronics, 2020, 35(2): 1217-1226.
[13]	NUPUR N, NATH S. Unifying inductor current ripples and inductor design in coupled SIDO converters by forming sectors of duty ratios[J]. IEEE Transactions on Industry Applications, 2022, 58(3): 3830-3839.
[14]	NAYAK G, NATH S. Choosing coefficient of coupling for coupled SIDO converters[J]. IEEE Journal of Emerging & Selected Topics in Industrial Electronics, 2022, 3(4): 1010-1019.
[15]	NAYAK G, NATH S. Decoupled voltage-mode control of coupled inductor single-input dual-output buck converter[J]. IEEE Transactions on Industry Applications, 2020, 56(4): 4040-4050.
[16]	NAYAK G, NATH S. Decoupled average current control of coupled inductor single-input dual-output buck converter[J]. IEEE Journal of Emerging & Selected Topics in Industrial Electronics, 2020, 1(2): 152-161.
[17]	NAYAK G, NATH S. Unified model of peak current mode controlled coupled SIDO converters[J]. IEEE Transactions on Industrial Electronics, 2022, 69(11): 11156-11164.
[18]	冯端正. 基于反馈线性化的单输入双输出Buck变换器控制方法研究[D]. 南宁: 广西大学, 2022.
	FENG Duanzheng. Research on control method of single input and double output Buck converter based on feedback linearization[D]. Nanning: Guangxi University, 2022.
[19]	崔征山, 周扬忠, 张竞, 等. 基于滑模和扩张状态观测器的双绕组无轴承磁通切换电机转子悬浮控制策略研究[J]. 仪器仪表学报, 2022, 43(6): 269-279.
	CUI Zhengshan, ZHOU Yangzhong, ZHANG Jing, et al. Research on rotor suspension control strategy of dual-winding bearingless flux-switching permanent magnet machines based on sliding mode control and extended state observer[J]. Chinese Journal of Scientific Instrument, 2022, 43(6): 269-279.
[20]	滕青芳, 佐俊, 潘浩, 等. 基于时变增益扩张状态观测器的逆变器系统自适应super-twisting电压鲁棒控制[J]. 控制理论与应用, 2020, 37(9): 1880-1894.
	TENG Qingfang, ZUO Jun, PAN Hao, et al. Robust voltage control for inverter system using time-varying gain extended state observer-based adaptive super-twisting algorithm[J]. Control Theory & Applications, 2020, 37(9): 1880-1894.
[21]	LINARES-FLORES J, JUÁREZ-ABAD J A, HERNANDEZ-MENDEZ A, et al. Sliding mode control based on linear extended state observer for DC-to-DC buck-boost power converter system with mismatched disturbances[J]. IEEE Transactions on Industry Applications, 2022, 58(1): 940-950.
[22]	李奇, 李朔, 尹良震, 等. 基于扩张状态观测器的PEMFC发电系统串级滑模控制方法[J]. 中国电机工程学报, 2022, 42(4): 1470-1481.
	LI Qi, LI Shuo, YIN Liangzhen, et al. Cascade sliding mode control strategy for PEMFC power generation system based on extended state observer[J]. Proceedings of the CSEE, 2022, 42(4): 1470-1481.
[23]	武志涛, 李帅, 程万胜. 基于扩展滑模扰动观测器的永磁直线同步电机定结构滑模位置跟踪控制[J]. 电工技术学报, 2022, 37(10): 2503-2512.
	WU Zhitao, LI Shuai, CHENG Wansheng. Fixed structure sliding mode position tracking control for permanent magnet linear synchronous motor based on extended sliding mode disturbance observer[J]. Transactions of China Electrotechnical Society, 2022, 37(10): 2503-2512.
[24]	皇金锋, 张世欣, 杨艺. 基于扩张状态观测器的单电感双输出Buck变换器滑模解耦控制[J]. 湖南大学学报(自然科学版), 2023, 50(2): 138-149.
	HUANG Jinfeng, ZHANG Shixin, YANG Yi. Sliding mode decoupling control of single inductor dual output Buck converter based on extended state observer[J]. Journal of Hunan University (Natural Sciences), 2023, 50(2): 138-149.
[25]	XU W J, QU S C, ZHANG C. Fast terminal sliding mode current control with adaptive extended state disturbance observer for PMSM system[J]. IEEE Journal of Emerging and Selected Topics in Power Electronics, 2023, 11(1): 418-431.
[26]	杨淑英, 王玉柱, 储昭晗, 等. 基于增益连续扩张状态观测器的永磁同步电机电流解耦控制[J]. 中国电机工程学报, 2020, 40(6): 1985-1997.
	YANG Shuying, WANG Yuzhu, CHU Zhaohan, et al. Current decoupling control of PMSM based on an extended state observer with continuous gains[J]. Proceedings of the CSEE, 2020, 40(6): 1985-1997.
[27]	张伟键, 都海波, 朱文武, 等. 基于广义超螺旋算法的无速度传感器永磁同步电机有限时间速度控制[J]. 控制理论与应用, 2021, 38(6): 833-841.
	ZHANG Weijian, DU Haibo, ZHU Wenwu, et al. Finite-time speed sensorless control of permanent magnet synchronous motor based on generalized super-twisting algorithm[J]. Control Theory & Applications, 2021, 38(6): 833-841.
[28]	赵振华, 李婷, 姜斌, 等. 四旋翼无人机姿态系统复合连续快速非奇异终端滑模控制[J]. 控制理论与应用, 2023, 40(3): 459-467.
	ZHAO Zhenhua, LI Ting, JIANG Bin, et al. Composite continuous fast nonsingular terminal sliding mode control for quadrotor UAV attitude systems[J]. Control Theory & Applications, 2023, 40(3): 459-467.
[29]	MAO S R, TAO H J, ZHENG Z. Sensorless control of induction motors based on fractional-order linear super-twisting sliding mode observer with flux linkage compensation[J]. IEEE Access, 2020, 8: 172308-172317.
[30]	GAO Z Q. Scaling and bandwidth-parameterization based controller tuning[C]// Proceedings of the 2003 American Control Conference. Denver, USA: IEEE, 2003: 4989-4996.
[31]	YU S H, YU X H, SHIRINZADEH B, et al. Continuous finite-time control for robotic manipulators with terminal sliding mode[J]. Automatica, 2005, 41(11): 1957-1964.

参数	数值
v_in/V	15~30
开关频率,f/kHz	20
v_oa/V	10
v_ob/V	5
L₁/μH	100
L₂/μH	100
M/μH	80
C_a/μF	470
C_b/μF	470
R_a/Ω	5.0~10
R_b/Ω	2.5~5

参数	数值
k_ia, k_ib	100
k_va, k_vb	80
λ_a, λ_b	1000
β_a, β_b	100
λ_va, λ_vb	800
β_va, β_vb	80
w_o	12.56×10³