US 12,451,807 B2
DC-to-DC converter control method and system based on backstepping super-twisting
Jing Chen, Guangdong (CN); Chun Xiao, Guangdong (CN); Chihua Lu, Guangdong (CN); Mu Yang, Guangdong (CN); Siyilang You, Guangdong (CN); Jiawei Gao, Guangdong (CN); Huchuan Yang, Guangdong (CN); Junjie Zhao, Guangdong (CN); Congding Yang, Guangdong (CN); and Zhuo Wang, Guangdong (CN)
Assigned to FOSHAN XIANHU LABORATORY, Guangdong (CN)
Filed by Foshan Xianhu Laboratory, Guangdong (CN)
Filed on Nov. 15, 2023, as Appl. No. 18/509,927.
Claims priority of application No. 202310702079.1 (CN), filed on Jun. 14, 2023.
Prior Publication US 2024/0429820 A1, Dec. 26, 2024
Int. Cl. H02M 3/155 (2006.01); H02M 1/00 (2006.01); H02M 3/158 (2006.01)
CPC H02M 3/158 (2013.01) [H02M 1/0012 (2021.05)] 7 Claims
OG exemplary drawing
 
1. A DC-to-DC converter control method based on backstepping super-twisting, comprising:
constructing a state-space model of a DC-to-DC converter according to Kirchhoff's laws and a topological structure of the DC-to-DC converter, the state-space model comprising a state-space expression of a boost converter branch current and a state-space expression of a DC-to-DC converter output voltage;
acquiring initial PWM wave control information by using a backstepping control algorithm in an inner current loop of the DC-to-DC converter according to the state-space model;
processing the initial PWM wave control information by using a super-twisting sliding mode control algorithm in an outer voltage loop of the DC-to-DC converter based on the state-space model to obtain final PWM wave control information; and
regulating an operation state of the DC-to-DC converter with the final PWM wave control information;
wherein the acquiring initial PWM wave control information by using a backstepping control algorithm in an inner current loop of the DC-to-DC converter according to the state-space model comprises:
determining a current error between the boost converter branch current and a set reference current, and then determining a rate of change of the current error according to the current error and the state-space expression of the boost converter branch current;
constructing a first constraint relationship between the current error and the rate of change of the current error using a Lyapunov function, and then determining an ideal control law according to the rate of change of the current error and the first constraint relationship;
determining a control law error between a virtual control law and the ideal control law, and then determining a rate of change of the control law error according to the ideal control law, the control law error and the state-space expression of the DC-to-DC converter output voltage; and
constructing a second constraint relationship between the control law error and the rate of change of the control law error using a Lyapunov function, and then determining the initial PWM wave control information according to the rate of change of the control law error and the second constraint relationship;
wherein the processing the initial PWM wave control information by using a super-twisting sliding mode control algorithm in an outer voltage loop of the DC-to-DC converter based on the state-space model to obtain final PWM wave control information comprises:
converting the state-space expression of the DC-to-DC converter output voltage into a state-space expression with a direct-current (DC) component and an alternating current (AC) component under a condition that the rate of change of the current error is zero;
performing Laplace transform on each AC component in the converted state-space expression of the DC-to-DC converter output voltage to obtain a closed-loop transfer function of the inner current loop of the DC-to-DC converter, and then determining a rate of change of output voltage according to the closed-loop transfer function;
setting a sliding surface according to the DC-to-DC converter output voltage and a set reference voltage, and then determining a sliding mode control law according to the sliding surface; and
adjusting the initial PWM wave control information according to the sliding mode control law, the rate of change of output voltage and the state-space expression of the DC-to-DC converter output voltage to obtain the final PWM wave control information.