A second-order sliding-mode (SOSM) control method is developed for the regulation problem of a dc–dc buck converter. By taking into account the model uncertainties and external disturbances in the mathematical model, a sliding variable with relative of degree 2 is first constructed. Then, a new SOSM controller is developed such that the output voltage will well track the desired reference voltage. Theoretical analysis shows that the resulting closed-loop system is globally finite-time stable, while similar SOSM control results only give the proof for finite-time convergence. The way on how to implement the proposed SOSM algorithm is also presented. The theoretical findings are verified by extensive simulations and experiments.

中文翻译：

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Buck转换器的二阶滑模控制器设计及其实现

针对DC-DC降压转换器的调节问题，开发了一种二阶滑模（SOSM）控制方法。通过考虑数学模型中的模型不确定性和外部干扰，首先构造相对度为2的滑动变量。然后，开发了新的SOSM控制器，以使输出电压将很好地跟踪所需的参考电压。理论分析表明，所产生的闭环系统是全局有限时间稳定的，而类似的SOSM控制结果仅提供了有限时间收敛的证明。还提出了如何实现所提出的SOSM算法的方法。通过大量的模拟和实验验证了理论发现。