Fixed-Time Variable Gain Second-Order Sliding Mode Control for DC-DC Buck Converter

Jiazhou LU , Liaoxuan DAI , Guosheng ZHANG , Yinlong HU , Shang SHI

›› 2023, Vol. 17 ›› Issue (9) : 76 -84.

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›› 2023, Vol. 17 ›› Issue (9) : 76 -84. DOI: 10.13648/j.cnki.issn1674-0629.2023.09.009
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Fixed-Time Variable Gain Second-Order Sliding Mode Control for DC-DC Buck Converter

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Abstract

A fixed-time output voltage regulation algorithm based on variable gain second-order sliding mode control is proposed for DC-DC buck converters. Firstly, taking into account external interference and unknown modeling dynamics, a state space mathematical model of buck circuit with uncertainty is obtained using the average state space method. Secondly, a sliding mode variable with a relative order of 2 is constructed based on the obtained mathematical model, and a novel sliding mode control algorithm with variable gain is proposed to achieve a fixed-time output voltage modulation control with convergence time independent of the initial system value. In addition, it is concluded through Lyapunov analysis that the closed-loop system can achieve global fixed-time stability. Finally, the effectiveness of the proposed algorithm is verified by comparing it with existing algorithms through simulation.

Keywords

DC-DC buck converter / finite time control / Lyapunov stability / second-order sliding mode control / fixed-time control

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Jiazhou LU,Liaoxuan DAI,Guosheng ZHANG,Yinlong HU,Shang SHI. Fixed-Time Variable Gain Second-Order Sliding Mode Control for DC-DC Buck Converter. 2023, 17(9): 76-84 DOI:10.13648/j.cnki.issn1674-0629.2023.09.009

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Funding

the National Natural Science Foundation of China(62373135)

the Postgraduate Research and Practice Innovation Program of Jiangsu Province(KYCX23_0684)

the Natural Science Foundation of Jiangsu Province(BK20200520)

the Excellent Post-Graduate Dissertation Project of Hohai University(422003479)

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