非理想SIDO Boost变换器三自由度内模滑模控制仿真

doi:10.16182/j.issn1004731x.joss.25-0517

摘要/Abstract

摘要：

为减小单电感双输出(single-inductor dual-output，SIDO) Boost变换器的交叉影响，提高系统输出精度和稳定性，充分考虑电路元器件的寄生电阻，对非理想SIDO Boost变换器提出一种三自由度内模滑模控制策略。建立非理想SIDO Boost变换器的仿射非线性数学模型，并基于微分几何理论将非线性系统线性化并解耦为2个线性子系统；为线性子系统分别设计三自由度内模控制器和滑模控制器；分析三自由度内模控制的鲁棒性及基于李雅普诺夫理论验证滑模控制系统的稳定性。仿真结果表明：所提控制策略具有更好的动态响应、更优的控制性能和更小的交叉影响。

关键词: 单电感双输出, Boost变换器, 精确反馈线性化, 三自由度内模控制, 滑模控制

Abstract:

To reduce the cross-interference in the single-inductor dual-output (SIDO) Boost converter and to enhance the output accuracy and stability of the system, the parasitic resistances of the circuit components were considered, and a three-degree-of-freedom internal model sliding mode control strategy was proposed for the non-ideal SIDO Boost converter. An affine nonlinear mathematical model of the non-ideal SIDO Boost converter was established, and the nonlinear system was linearized and decoupled into two linear subsystems based on the differential geometry theory. The linear subsystem was designed as a three-degree-of-freedom internal model controller and a sliding mode controller, respectively. The robustness of the three-degree-of-freedom internal model control was analyzed, and the stability of the sliding mode control system was verified based on Lyapunov theory. The simulation results show that the proposed control strategy has better dynamic response, better control performance, and smaller cross-interference.

Key words: single-inductor dual-output (SIDO), Boost converter, exact feedback linearization, three-degree-of-freedom internal model control, sliding mode control

中图分类号:

TP391

刘冰丽,吴家荣,杨林等 . 非理想SIDO Boost变换器三自由度内模滑模控制仿真[J]. 系统仿真学报, 2025, 37(10): 2500-2510.

Liu Bingli,Wu Jiarong,Yang Lin,et al . Simulation of Three-degree-of-freedom Internal Mode Sliding Mode Control for Non-ideal Single-inductor Dual-output Boost Converter[J]. Journal of System Simulation, 2025, 37(10): 2500-2510.

图/表 9

图1

图2

图3

图4

图5

表1

非理想SIDO Boost变换器的仿真参数

变换器参数	数值	控制器参数	数值
V_in/V	10	R_L/Ω	0.31
$V C a, r e f$ /V	13	λ₁	2.99×10^-5
$V C b, r e f$ /V	18	λ₂	0.01
R_a/Ω	30	α₁	2.9×10^-5
R_b/Ω	30	α₂	1.9×10^-6
C_a/μF	470	$ξ 1$	0.1×10⁶
C_b/μF	470	$ξ 2$	6.2×10⁶
L/μH	330	k₁	8.68×10⁴
$R C a$ /Ω	0.21	f_s/kHz	50
$R C b$ /Ω	0.21

表1

图6

图7

图8

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